diff --git a/README.md b/README.md index a40490a..fa67c31 100644 --- a/README.md +++ b/README.md @@ -1,2 +1,7 @@ # liblapack +LAPACK is written in Fortran77 and provides routines for solving systems of simultaneous linear equations, least-squares solutions of linear systems of equations, eigenvalue problems, and singular value problems. +The associated matrix factorizations (LU, Cholesky, QR, SVD, Schur, generalized Schur) are also provided, as are related computations such as reordering of the Schur factorizations and estimating condition numbers. +Dense and banded matrices are handled, but not general sparse matrices. +In all areas, similar functionality is provided for real and complex matrices, in both single and double precision. + diff --git a/blasqr.ps b/blasqr.ps new file mode 100644 index 0000000..f582cac --- /dev/null +++ b/blasqr.ps @@ -0,0 +1,3312 @@ +%!PS-Adobe-2.0 +%%Creator: dvipsk 5.58f Copyright 1986, 1994 Radical Eye Software +%%Title: blasrefcard.dvi +%%Pages: 3 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b(A,)f(LDA,)h(X,)e(INCX,)i(BETA,)72 +b(Y,)36 b(INCY)g(\))347 b Fl(y)22 b Fk( )d Fl(\013Ax)d +Fm(+)g Fl(\014)s(y)1738 b Fm(C,)23 b(Z)-389 1475 y Fn(xHBMV)36 +b(\()g(UPLO,)601 b(N,)36 b(K,)212 b(ALPHA,)37 b(A,)f(LDA,)h(X,)e(INCX,) +i(BETA,)72 b(Y,)36 b(INCY)g(\))347 b Fl(y)22 b Fk( )d +Fl(\013Ax)d Fm(+)g Fl(\014)s(y)1738 b Fm(C,)23 b(Z)-389 +1554 y Fn(xHPMV)36 b(\()g(UPLO,)601 b(N,)318 b(ALPHA,)37 +b(AP,)178 b(X,)35 b(INCX,)i(BETA,)72 b(Y,)36 b(INCY)g(\))347 +b Fl(y)22 b Fk( )d Fl(\013Ax)d Fm(+)g Fl(\014)s(y)1738 +b Fm(C,)23 b(Z)-389 1633 y Fn(xSYMV)36 b(\()g(UPLO,)601 +b(N,)318 b(ALPHA,)37 b(A,)f(LDA,)h(X,)e(INCX,)i(BETA,)72 +b(Y,)36 b(INCY)g(\))347 b Fl(y)22 b Fk( )d Fl(\013Ax)d +Fm(+)g Fl(\014)s(y)1738 b Fm(S,)23 b(D)-389 1712 y Fn(xSBMV)36 +b(\()g(UPLO,)601 b(N,)36 b(K,)212 b(ALPHA,)37 b(A,)f(LDA,)h(X,)e(INCX,) +i(BETA,)72 b(Y,)36 b(INCY)g(\))347 b Fl(y)22 b Fk( )d +Fl(\013Ax)d Fm(+)g Fl(\014)s(y)1738 b Fm(S,)23 b(D)-389 +1790 y Fn(xSPMV)36 b(\()g(UPLO,)601 b(N,)318 b(ALPHA,)37 +b(AP,)178 b(X,)35 b(INCX,)i(BETA,)72 b(Y,)36 b(INCY)g(\))347 +b Fl(y)22 b Fk( )d Fl(\013Ax)d Fm(+)g Fl(\014)s(y)1738 +b Fm(S,)23 b(D)-389 1872 y Fn(xTRMV)36 b(\()g(UPLO,)h(TRANS,)g(DIAG,) +142 b(N,)565 b(A,)36 b(LDA,)h(X,)e(INCX)i(\))911 b Fl(x)20 +b Fk( )f Fl(Ax;)11 b(x)19 b Fk( )g Fl(A)3291 1848 y Fj(T)3340 +1872 y Fl(x;)11 b(x)19 b Fk( )g Fl(A)3613 1848 y Fj(H)3671 +1872 y Fl(x)1292 b Fm(S,)23 b(D,)g(C,)g(Z)-389 1953 y +Fn(xTBMV)36 b(\()g(UPLO,)h(TRANS,)g(DIAG,)142 b(N,)36 +b(K,)459 b(A,)36 b(LDA,)h(X,)e(INCX)i(\))911 b Fl(x)20 +b Fk( )f Fl(Ax;)11 b(x)19 b Fk( )g Fl(A)3291 1929 y Fj(T)3340 +1953 y Fl(x;)11 b(x)19 b Fk( )g Fl(A)3613 1929 y Fj(H)3671 +1953 y Fl(x)1292 b Fm(S,)23 b(D,)g(C,)g(Z)-389 2034 y +Fn(xTPMV)36 b(\()g(UPLO,)h(TRANS,)g(DIAG,)142 b(N,)565 +b(AP,)178 b(X,)35 b(INCX)i(\))911 b Fl(x)20 b Fk( )f +Fl(Ax;)11 b(x)19 b Fk( )g Fl(A)3291 2010 y Fj(T)3340 +2034 y Fl(x;)11 b(x)19 b Fk( )g Fl(A)3613 2010 y Fj(H)3671 +2034 y Fl(x)1292 b Fm(S,)23 b(D,)g(C,)g(Z)-389 2115 y +Fn(xTRSV)36 b(\()g(UPLO,)h(TRANS,)g(DIAG,)142 b(N,)565 +b(A,)36 b(LDA,)h(X,)e(INCX)i(\))911 b Fl(x)20 b Fk( )f +Fl(A)3018 2092 y Fh(\000)p Fi(1)3100 2115 y Fl(x;)11 +b(x)20 b Fk( )f Fl(A)3374 2092 y Fh(\000)p Fj(T)3470 +2115 y Fl(x;)11 b(x)20 b Fk( )f Fl(A)3744 2092 y Fh(\000)p +Fj(H)3849 2115 y Fl(x)1114 b Fm(S,)23 b(D,)g(C,)g(Z)-389 +2196 y Fn(xTBSV)36 b(\()g(UPLO,)h(TRANS,)g(DIAG,)142 +b(N,)36 b(K,)459 b(A,)36 b(LDA,)h(X,)e(INCX)i(\))911 +b Fl(x)20 b Fk( )f Fl(A)3018 2173 y Fh(\000)p Fi(1)3100 +2196 y Fl(x;)11 b(x)20 b Fk( )f Fl(A)3374 2173 y Fh(\000)p +Fj(T)3470 2196 y Fl(x;)11 b(x)20 b Fk( )f Fl(A)3744 2173 +y Fh(\000)p Fj(H)3849 2196 y Fl(x)1114 b Fm(S,)23 b(D,)g(C,)g(Z)-389 +2277 y Fn(xTPSV)36 b(\()g(UPLO,)h(TRANS,)g(DIAG,)142 +b(N,)565 b(AP,)178 b(X,)35 b(INCX)i(\))911 b Fl(x)20 +b Fk( )f Fl(A)3018 2254 y Fh(\000)p Fi(1)3100 2277 y +Fl(x;)11 b(x)20 b Fk( )f Fl(A)3374 2254 y Fh(\000)p Fj(T)3470 +2277 y Fl(x;)11 b(x)20 b Fk( )f Fl(A)3744 2254 y Fh(\000)p +Fj(H)3849 2277 y Fl(x)1114 b Fm(S,)23 b(D,)g(C,)g(Z)-107 +2356 y Fn(options)425 b(dim)107 b(scalar)37 b(vector)108 +b(vector)f(matrix)-389 2437 y(xGER)71 b(\()706 b(M,)36 +b(N,)g(ALPHA,)h(X,)f(INCX,)h(Y,)e(INCY,)i(A,)f(LDA)g(\))876 +b Fl(A)20 b Fk( )f Fl(\013xy)3100 2414 y Fj(T)3165 2437 +y Fm(+)c Fl(A;)c(A)16 b Fk(\000)f Fl(m)i Fk(\002)e Fl(n)1353 +b Fm(S,)23 b(D)-389 2518 y Fn(xGERU)36 b(\()706 b(M,)36 +b(N,)g(ALPHA,)h(X,)f(INCX,)h(Y,)e(INCY,)i(A,)f(LDA)g(\))876 +b Fl(A)20 b Fk( )f Fl(\013xy)3100 2495 y Fj(T)3165 2518 +y Fm(+)c Fl(A;)c(A)16 b Fk(\000)f Fl(m)i Fk(\002)e Fl(n)1353 +b Fm(C,)23 b(Z)-389 2600 y Fn(xGERC)36 b(\()706 b(M,)36 +b(N,)g(ALPHA,)h(X,)f(INCX,)h(Y,)e(INCY,)i(A,)f(LDA)g(\))876 +b Fl(A)20 b Fk( )f Fl(\013xy)3100 2576 y Fj(H)3174 2600 +y Fm(+)c Fl(A;)c(A)16 b Fk(\000)g Fl(m)g Fk(\002)f Fl(n)1344 +b Fm(C,)23 b(Z)-389 2681 y Fn(xHER)71 b(\()36 b(UPLO,)601 +b(N,)36 b(ALPHA,)h(X,)f(INCX,)354 b(A,)36 b(LDA)g(\))876 +b Fl(A)20 b Fk( )f Fl(\013xx)3103 2657 y Fj(H)3176 2681 +y Fm(+)d Fl(A)1703 b Fm(C,)23 b(Z)-389 2762 y Fn(xHPR)71 +b(\()36 b(UPLO,)601 b(N,)36 b(ALPHA,)h(X,)f(INCX,)354 +b(AP)36 b(\))1017 b Fl(A)20 b Fk( )f Fl(\013xx)3103 2738 +y Fj(H)3176 2762 y Fm(+)d Fl(A)1703 b Fm(C,)23 b(Z)-389 +2843 y Fn(xHER2)36 b(\()g(UPLO,)601 b(N,)36 b(ALPHA,)h(X,)f(INCX,)h(Y,) +e(INCY,)i(A,)f(LDA)g(\))876 b Fl(A)20 b Fk( )f Fl(\013xy)3100 +2820 y Fj(H)3174 2843 y Fm(+)c Fl(y)r Fm(\()p Fl(\013x)p +Fm(\))3420 2820 y Fj(H)3495 2843 y Fm(+)g Fl(A)1385 b +Fm(C,)23 b(Z)-389 2924 y Fn(xHPR2)36 b(\()g(UPLO,)601 +b(N,)36 b(ALPHA,)h(X,)f(INCX,)h(Y,)e(INCY,)i(AP)f(\))1017 +b Fl(A)20 b Fk( )f Fl(\013xy)3100 2901 y Fj(H)3174 2924 +y Fm(+)c Fl(y)r Fm(\()p Fl(\013x)p Fm(\))3420 2901 y +Fj(H)3495 2924 y Fm(+)g Fl(A)1385 b Fm(C,)23 b(Z)-389 +3005 y Fn(xSYR)71 b(\()36 b(UPLO,)601 b(N,)36 b(ALPHA,)h(X,)f(INCX,)354 +b(A,)36 b(LDA)g(\))876 b Fl(A)20 b Fk( )f Fl(\013xx)3103 +2982 y Fj(T)3167 3005 y Fm(+)d Fl(A)1712 b Fm(S,)23 b(D)-389 +3086 y Fn(xSPR)71 b(\()36 b(UPLO,)601 b(N,)36 b(ALPHA,)h(X,)f(INCX,)354 +b(AP)36 b(\))1017 b Fl(A)20 b Fk( )f Fl(\013xx)3103 3063 +y Fj(T)3167 3086 y Fm(+)d Fl(A)1712 b Fm(S,)23 b(D)-389 +3168 y Fn(xSYR2)36 b(\()g(UPLO,)601 b(N,)36 b(ALPHA,)h(X,)f(INCX,)h(Y,) +e(INCY,)i(A,)f(LDA)g(\))876 b Fl(A)20 b Fk( )f Fl(\013xy)3100 +3144 y Fj(T)3165 3168 y Fm(+)c Fl(\013y)r(x)3357 3144 +y Fj(T)3422 3168 y Fm(+)g Fl(A)1458 b Fm(S,)23 b(D)-389 +3249 y Fn(xSPR2)36 b(\()g(UPLO,)601 b(N,)36 b(ALPHA,)h(X,)f(INCX,)h(Y,) +e(INCY,)i(AP)f(\))1017 b Fl(A)20 b Fk( )f Fl(\013xy)3100 +3225 y Fj(T)3165 3249 y Fm(+)c Fl(\013y)r(x)3357 3225 +y Fj(T)3422 3249 y Fm(+)g Fl(A)1458 b Fm(S,)23 b(D)-389 +3409 y Fo(Lev)m(el)32 b(3)f(BLAS)-107 3488 y Fn(options)919 +b(dim)213 b(scalar)37 b(matrix)72 b(matrix)g(scalar)37 +b(matrix)-389 3569 y(xGEMM)f(\()459 b(TRANSA,)38 b(TRANSB,)213 +b(M,)36 b(N,)g(K,)g(ALPHA,)h(A,)f(LDA,)g(B,)g(LDB,)g(BETA,)72 +b(C,)36 b(LDC)g(\))100 b Fl(C)25 b Fk( )19 b Fl(\013op)p +Fm(\()p Fl(A)p Fm(\))p Fl(op)p Fm(\()p Fl(B)s Fm(\))e(+)f +Fl(\014)s(C)q(;)c(op)p Fm(\()p Fl(X)5 b Fm(\))20 b(=)f +Fl(X)q(;)12 b(X)4031 3545 y Fj(T)4080 3569 y Fl(;)f(X)4174 +3545 y Fj(H)4232 3569 y Fl(;)h(C)20 b Fk(\000)c Fl(m)g +Fk(\002)f Fl(n)407 b Fm(S,)23 b(D,)g(C,)g(Z)-389 3650 +y Fn(xSYMM)36 b(\()g(SIDE,)h(UPLO,)777 b(M,)36 b(N,)142 +b(ALPHA,)37 b(A,)f(LDA,)g(B,)g(LDB,)g(BETA,)72 b(C,)36 +b(LDC)g(\))100 b Fl(C)25 b Fk( )19 b Fl(\013AB)g Fm(+)d +Fl(\014)s(C)q(;)11 b(C)25 b Fk( )19 b Fl(\013B)s(A)e +Fm(+)e Fl(\014)s(C)q(;)d(C)20 b Fk(\000)c Fl(m)g Fk(\002)g +Fl(n;)11 b(A)19 b Fm(=)h Fl(A)4442 3627 y Fj(T)5003 3650 +y Fm(S,)j(D,)g(C,)g(Z)-389 3731 y Fn(xHEMM)36 b(\()g(SIDE,)h(UPLO,)777 +b(M,)36 b(N,)142 b(ALPHA,)37 b(A,)f(LDA,)g(B,)g(LDB,)g(BETA,)72 +b(C,)36 b(LDC)g(\))100 b Fl(C)25 b Fk( )19 b Fl(\013AB)g +Fm(+)d Fl(\014)s(C)q(;)11 b(C)25 b Fk( )19 b Fl(\013B)s(A)e +Fm(+)e Fl(\014)s(C)q(;)d(C)20 b Fk(\000)c Fl(m)g Fk(\002)g +Fl(n;)11 b(A)19 b Fm(=)h Fl(A)4442 3708 y Fj(H)5003 3731 +y Fm(C,)j(Z)-389 3812 y Fn(xSYRK)36 b(\()248 b(UPLO,)36 +b(TRANS,)637 b(N,)36 b(K,)g(ALPHA,)h(A,)f(LDA,)318 b(BETA,)72 +b(C,)36 b(LDC)g(\))100 b Fl(C)25 b Fk( )19 b Fl(\013AA)3131 +3789 y Fj(T)3195 3812 y Fm(+)d Fl(\014)s(C)q(;)11 b(C)25 +b Fk( )19 b Fl(\013A)3654 3789 y Fj(T)3703 3812 y Fl(A)d +Fm(+)f Fl(\014)s(C)q(;)d(C)20 b Fk(\000)c Fl(n)f Fk(\002)h +Fl(n)722 b Fm(S,)23 b(D,)g(C,)g(Z)-389 3893 y Fn(xHERK)36 +b(\()248 b(UPLO,)36 b(TRANS,)637 b(N,)36 b(K,)g(ALPHA,)h(A,)f(LDA,)318 +b(BETA,)72 b(C,)36 b(LDC)g(\))100 b Fl(C)25 b Fk( )19 +b Fl(\013AA)3131 3870 y Fj(H)3205 3893 y Fm(+)c Fl(\014)s(C)q(;)d(C)24 +b Fk( )19 b Fl(\013A)3663 3870 y Fj(H)3721 3893 y Fl(A)d +Fm(+)f Fl(\014)s(C)q(;)d(C)20 b Fk(\000)c Fl(n)f Fk(\002)h +Fl(n)704 b Fm(C,)23 b(Z)-389 3975 y Fn(xSYR2K\()249 b(UPLO,)36 +b(TRANS,)637 b(N,)36 b(K,)g(ALPHA,)h(A,)f(LDA,)g(B,)g(LDB,)g(BETA,)72 +b(C,)36 b(LDC)g(\))100 b Fl(C)25 b Fk( )19 b Fl(\013AB)3134 +3951 y Fj(T)3199 3975 y Fm(+)k(\026)-42 b Fl(\013B)s(A)3424 +3951 y Fj(T)3489 3975 y Fm(+)15 b Fl(\014)s(C)q(;)d(C)24 +b Fk( )19 b Fl(\013A)3947 3951 y Fj(T)3996 3975 y Fl(B)g +Fm(+)k(\026)-42 b Fl(\013B)4240 3951 y Fj(T)4289 3975 +y Fl(A)16 b Fm(+)g Fl(\014)s(C)q(;)11 b(C)21 b Fk(\000)15 +b Fl(n)h Fk(\002)f Fl(n)136 b Fm(S,)23 b(D,)g(C,)g(Z)-389 +4056 y Fn(xHER2K\()249 b(UPLO,)36 b(TRANS,)637 b(N,)36 +b(K,)g(ALPHA,)h(A,)f(LDA,)g(B,)g(LDB,)g(BETA,)72 b(C,)36 +b(LDC)g(\))100 b Fl(C)25 b Fk( )19 b Fl(\013AB)3134 4032 +y Fj(H)3208 4056 y Fm(+)k(\026)-42 b Fl(\013B)s(A)3433 +4032 y Fj(H)3507 4056 y Fm(+)15 b Fl(\014)s(C)q(;)d(C)24 +b Fk( )c Fl(\013A)3966 4032 y Fj(H)4023 4056 y Fl(B)g +Fm(+)i(\026)-42 b Fl(\013)q(B)4268 4032 y Fj(H)4326 4056 +y Fl(A)15 b Fm(+)h Fl(\014)s(C)q(;)11 b(C)21 b Fk(\000)16 +b Fl(n)f Fk(\002)h Fl(n)99 b Fm(C,)23 b(Z)-389 4137 y +Fn(xTRMM)36 b(\()g(SIDE,)h(UPLO,)f(TRANSA,)285 b(DIAG,)36 +b(M,)g(N,)142 b(ALPHA,)37 b(A,)f(LDA,)g(B,)g(LDB)g(\))629 +b Fl(B)23 b Fk( )d Fl(\013op)p Fm(\()p Fl(A)p Fm(\))p +Fl(B)s(;)12 b(B)23 b Fk( )c Fl(\013B)s(op)p Fm(\()p Fl(A)p +Fm(\))p Fl(;)13 b(op)p 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+(e)73 b(Routine)p -229 1002 2525 2 v -205 1022 a(Symmetric-de\014nite) +116 b Fc(SSYGV\()28 b(ITYPE,)15 b(JOBZ,)f(UPLO,)160 b(N,)14 +b(A,)f(LDA,)i(B,)e(LDB,)94 b(W,)583 b(WORK,)14 b(LWORK,)411 +b(INFO)15 b(\))-205 1051 y Fd(Eigen)o(v)n(alues/v)o(ectors)109 +b Fc(CHEGV\()28 b(ITYPE,)15 b(JOBZ,)f(UPLO,)160 b(N,)14 +b(A,)f(LDA,)i(B,)e(LDB,)94 b(W,)583 b(WORK,)14 b(LWORK,)h(RWORK,)318 +b(INFO)15 b(\))-205 1080 y Fd(Divide)d(and)e(Conquer)101 +b Fc(SSYGVD\()15 b(ITYPE,)g(JOBZ,)f(UPLO,)160 b(N,)14 +b(A,)f(LDA,)i(B,)e(LDB,)94 b(W,)583 b(WORK,)14 b(LWORK,)213 +b(IWORK,)15 b(LIWORK,)f(INFO)h(\))166 1109 y(CHEGVD\()g(ITYPE,)g(JOBZ,) +f(UPLO,)160 b(N,)14 b(A,)f(LDA,)i(B,)e(LDB,)94 b(W,)583 +b(WORK,)14 b(LWORK,)h(RWORK,)f(LRWORK,)h(IWORK,)g(LIWORK,)f(INFO)h(\)) +-205 1167 y Fd(Symmetric-de\014nite)116 b Fc(SSPGV\()28 +b(ITYPE,)15 b(JOBZ,)f(UPLO,)160 b(N,)14 b(AP,)67 b(BP,)146 +b(W,)265 b(Z,)14 b(LDZ,)226 b(WORK,)503 b(INFO)15 b(\))-205 +1196 y Fd(\(P)o(ac)o(k)o(ed)c(Storage\))143 b Fc(CHPGV\()28 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y(Divide)d(and)e(Conquer)101 b Fc(SSBGVD\()108 b(JOBZ,)14 +b(UPLO,)160 b(N,)14 b(KA,)g(KB,)g(AB,)g(LDAB,)g(BB,)g(LDBB,)27 +b(W,)173 b(Z,)14 b(LDZ,)226 b(WORK,)14 b(LWORK,)213 b(IWORK,)15 +b(LIWORK,)f(INFO)h(\))166 1458 y(CHBGVD\()108 b(JOBZ,)14 +b(UPLO,)160 b(N,)14 b(KA,)g(KB,)g(AB,)g(LDAB,)g(BB,)g(LDBB,)27 +b(W,)173 b(Z,)14 b(LDZ,)226 b(WORK,)14 b(LWORK,)h(RWORK,)f(LRWORK,)h +(IWORK,)g(LIWORK,)f(INFO)h(\))-205 1516 y Fd(General)268 +b Fc(SGGES\()15 b(JOBVSL,)g(JOBVSR,)g(SORT,)f(SELCTG,)h(N,)f(A,)f(LDA,) +28 b(B,)13 b(LDB,)h(SDIM,)h(ALPHAR,)g(ALPHAI,)g(BETA,)f(VSL,)g(LDVSL,)h +(VSR,)f(LDVSR,)h(WORK,)f(LWORK,)213 b(BWORK,)120 b(INFO)15 +b(\))-205 1545 y Fd(Sc)o(h)o(ur)10 b(F)n(actorization)111 +b Fc(CGGES\()15 b(JOBVSL,)g(JOBVSR,)g(SORT,)f(SELCTG,)h(N,)f(A,)f(LDA,) +28 b(B,)13 b(LDB,)h(SDIM,)h(ALPHA,)134 b(BETA,)14 b(VSL,)g(LDVSL,)h +(VSR,)f(LDVSR,)h(WORK,)f(LWORK,)h(RWORK,)120 b(BWORK,)g(INFO)15 +b(\))-205 1603 y Fd(General)268 b Fc(SGGEV\()28 b(JOBVL,)g(JOBVR,)200 +b(N,)14 b(A,)f(LDA,)28 b(B,)13 b(LDB,)81 b(ALPHAR,)14 +b(ALPHAI,)h(BETA,)g(VL,)f(LDVL,)g(VR,)g(LDVR,)81 b(WORK,)14 +b(LWORK,)411 b(INFO)15 b(\))-205 1632 y Fd(Eigen)o(v)n(alues/v)o +(ectors)109 b Fc(CGGEV\()28 b(JOBVL,)g(JOBVR,)200 b(N,)14 +b(A,)f(LDA,)28 b(B,)13 b(LDB,)81 b(ALPHA,)133 b(BETA,)15 +b(VL,)f(LDVL,)g(VR,)g(LDVR,)81 b(WORK,)14 b(LWORK,)h(RWORK,)318 +b(INFO)15 b(\))-205 1690 y Fd(General)268 b Fc(SGGSVD\()15 +b(JOBU,)f(JOBV,)h(JOBQ,)f(M,)g(N,)g(P,)f(K,)h(L,)g(A,)f(LDA,)i(B,)e +(LDB,)81 b(ALPHA,)133 b(BETA,)15 b(U,)e(LDU,)i(V,)e(LDV,)h(Q,)g(LDQ,)28 +b(WORK,)305 b(IWORK,)120 b(INFO)15 b(\))-205 1719 y Fd(Singular)d(V)n +(alues/V)n(ectors)50 b Fc(CGGSVD\()15 b(JOBU,)f(JOBV,)h(JOBQ,)f(M,)g +(N,)g(P,)f(K,)h(L,)g(A,)f(LDA,)i(B,)e(LDB,)81 b(ALPHA,)133 +b(BETA,)15 b(U,)e(LDU,)i(V,)e(LDV,)h(Q,)g(LDQ,)28 b(WORK,)107 +b(RWORK,)120 b(IWORK,)g(INFO)15 b(\))p eop +%%Page: 3 3 +3 2 bop -229 -101 a Ff(Exp)r(ert)23 b(Driv)n(ers)581 +-32 y Fe(Exp)q(ert)13 b(Driv)o(er)g(Routines)g(for)i(Linear)e +(Equations)-205 56 y Fd(Matrix)f(T)o(yp)q(e)338 b(Routine)p +-229 67 2425 2 v -205 87 a(General)406 b Fc(SGESVX\()15 +b(FACT,)f(TRANS,)h(N,)120 b(NRHS,)14 b(A,)g(LDA,)53 b(AF,)14 +b(LDAF,)41 b(IPIV,)15 b(EQUED,)f(R,)g(C,)g(B,)f(LDB,)i(X,)e(LDX,)h +(RCOND,)h(FERR,)f(BERR,)h(WORK,)107 b(IWORK,)14 b(INFO)h(\))304 +116 y(CGESVX\()g(FACT,)f(TRANS,)h(N,)120 b(NRHS,)14 b(A,)g(LDA,)53 +b(AF,)14 b(LDAF,)41 b(IPIV,)15 b(EQUED,)f(R,)g(C,)g(B,)f(LDB,)i(X,)e +(LDX,)h(RCOND,)h(FERR,)f(BERR,)h(WORK,)107 b(RWORK,)14 +b(INFO)h(\))-205 174 y Fd(General)c(Band)325 b Fc(SGBSVX\()15 +b(FACT,)f(TRANS,)h(N,)f(KL,)g(KU,)g(NRHS,)g(AB,)g(LDAB,)27 +b(AFB,)15 b(LDAFB,)f(IPIV,)h(EQUED,)f(R,)g(C,)g(B,)f(LDB,)i(X,)e(LDX,)h +(RCOND,)h(FERR,)f(BERR,)h(WORK,)107 b(IWORK,)14 b(INFO)h(\))304 +203 y(CGBSVX\()g(FACT,)f(TRANS,)h(N,)f(KL,)g(KU,)g(NRHS,)g(AB,)g(LDAB,) +27 b(AFB,)15 b(LDAFB,)f(IPIV,)h(EQUED,)f(R,)g(C,)g(B,)f(LDB,)i(X,)e +(LDX,)h(RCOND,)h(FERR,)f(BERR,)h(WORK,)107 b(RWORK,)14 +b(INFO)h(\))-205 261 y Fd(General)c(T)n(ridiagonal)245 +b Fc(SGTSVX\()15 b(FACT,)f(TRANS,)h(N,)120 b(NRHS,)14 +b(DL,)g(D,)g(DU,)f(DLF,)i(DF,)f(DUF,)g(DU2,)g(IPIV,)94 +b(B,)13 b(LDB,)i(X,)e(LDX,)h(RCOND,)h(FERR,)f(BERR,)h(WORK,)107 +b(IWORK,)14 b(INFO)h(\))304 290 y(CGTSVX\()g(FACT,)f(TRANS,)h(N,)120 +b(NRHS,)14 b(DL,)g(D,)g(DU,)f(DLF,)i(DF,)f(DUF,)g(DU2,)g(IPIV,)94 +b(B,)13 b(LDB,)i(X,)e(LDX,)h(RCOND,)h(FERR,)f(BERR,)h(WORK,)107 +b(RWORK,)14 b(INFO)h(\))-205 348 y Fd(Symmetric/Hermitian)215 +b Fc(SPOSVX\()15 b(FACT,)f(UPLO,)28 b(N,)120 b(NRHS,)14 +b(A,)g(LDA,)53 b(AF,)14 b(LDAF,)121 b(EQUED,)14 b(S,)54 +b(B,)13 b(LDB,)i(X,)e(LDX,)h(RCOND,)h(FERR,)f(BERR,)h(WORK,)107 +b(IWORK,)14 b(INFO)h(\))-205 378 y Fd(P)o(ositiv)o(e)e(De\014nite)287 +b Fc(CPOSVX\()15 b(FACT,)f(UPLO,)28 b(N,)120 b(NRHS,)14 +b(A,)g(LDA,)53 b(AF,)14 b(LDAF,)121 b(EQUED,)14 b(S,)54 +b(B,)13 b(LDB,)i(X,)e(LDX,)h(RCOND,)h(FERR,)f(BERR,)h(WORK,)107 +b(RWORK,)14 b(INFO)h(\))-205 436 y Fd(Symmetric/Hermitian)215 +b Fc(SPPSVX\()15 b(FACT,)f(UPLO,)28 b(N,)120 b(NRHS,)14 +b(AP,)106 b(AFP,)187 b(EQUED,)14 b(S,)54 b(B,)13 b(LDB,)i(X,)e(LDX,)h +(RCOND,)h(FERR,)f(BERR,)h(WORK,)107 b(IWORK,)14 b(INFO)h(\))-205 +465 y Fd(P)o(ositiv)o(e)e(De\014nite)d(\(P)o(ac)o(k)o(ed)g(Storage\))50 +b Fc(CPPSVX\()15 b(FACT,)f(UPLO,)28 b(N,)120 b(NRHS,)14 +b(AP,)106 b(AFP,)187 b(EQUED,)14 b(S,)54 b(B,)13 b(LDB,)i(X,)e(LDX,)h +(RCOND,)h(FERR,)f(BERR,)h(WORK,)107 b(RWORK,)14 b(INFO)h(\))-205 +523 y Fd(Symmetric/Hermitian)215 b Fc(SPBSVX\()15 b(FACT,)f(UPLO,)28 +b(N,)14 b(KD,)67 b(NRHS,)14 b(AB,)g(LDAB,)27 b(AFB,)15 +b(LDAFB,)94 b(EQUED,)14 b(S,)54 b(B,)13 b(LDB,)i(X,)e(LDX,)h(RCOND,)h +(FERR,)f(BERR,)h(WORK,)107 b(IWORK,)14 b(INFO)h(\))-205 +552 y Fd(P)o(ositiv)o(e)e(De\014nite)d(Band)207 b Fc(CPBSVX\()15 +b(FACT,)f(UPLO,)28 b(N,)14 b(KD,)67 b(NRHS,)14 b(AB,)g(LDAB,)27 +b(AFB,)15 b(LDAFB,)94 b(EQUED,)14 b(S,)54 b(B,)13 b(LDB,)i(X,)e(LDX,)h +(RCOND,)h(FERR,)f(BERR,)h(WORK,)107 b(RWORK,)14 b(INFO)h(\))-205 +610 y Fd(Symmetric/Hermitian)215 b Fc(SPTSVX\()15 b(FACT,)107 +b(N,)120 b(NRHS,)14 b(D,)g(E,)79 b(DF,)14 b(EF,)319 b(B,)13 +b(LDB,)i(X,)e(LDX,)h(RCOND,)h(FERR,)f(BERR,)h(WORK,)199 +b(INFO)15 b(\))-205 639 y Fd(P)o(ositiv)o(e)e(De\014nite)d(T)n +(ridiagonal)127 b Fc(CPTSVX\()15 b(FACT,)107 b(N,)120 +b(NRHS,)14 b(D,)g(E,)79 b(DF,)14 b(EF,)319 b(B,)13 b(LDB,)i(X,)e(LDX,)h +(RCOND,)h(FERR,)f(BERR,)h(WORK,)107 b(RWORK,)14 b(INFO)h(\))-205 +697 y Fd(Symmetric/Hermitian)215 b Fc(SSYSVX\()15 b(FACT,)f(UPLO,)28 +b(N,)120 b(NRHS,)14 b(A,)g(LDA,)53 b(AF,)14 b(LDAF,)h(IPIV,)213 +b(B,)13 b(LDB,)i(X,)e(LDX,)h(RCOND,)h(FERR,)f(BERR,)h(WORK,)f(LWORK,)h +(IWORK,)f(INFO)h(\))-205 726 y Fd(Inde\014nite)381 b +Fc(CSYSVX\()15 b(FACT,)f(UPLO,)28 b(N,)120 b(NRHS,)14 +b(A,)g(LDA,)53 b(AF,)14 b(LDAF,)h(IPIV,)213 b(B,)13 b(LDB,)i(X,)e(LDX,) +h(RCOND,)h(FERR,)f(BERR,)h(WORK,)f(LWORK,)h(RWORK,)f(INFO)h(\))304 +755 y(CHESVX\()g(FACT,)f(UPLO,)28 b(N,)120 b(NRHS,)14 +b(A,)g(LDA,)53 b(AF,)14 b(LDAF,)h(IPIV,)213 b(B,)13 b(LDB,)i(X,)e(LDX,) +h(RCOND,)h(FERR,)f(BERR,)h(WORK,)f(LWORK,)h(RWORK,)f(INFO)h(\))-205 +813 y Fd(Symmetric/Hermitian)215 b Fc(SSPSVX\()15 b(FACT,)f(UPLO,)28 +b(N,)120 b(NRHS,)14 b(AP,)106 b(AFP,)15 b(IPIV,)279 b(B,)13 +b(LDB,)i(X,)e(LDX,)h(RCOND,)h(FERR,)f(BERR,)h(WORK,)107 +b(IWORK,)14 b(INFO)h(\))-205 842 y Fd(Inde\014nite)10 +b(\(P)o(ac)o(k)o(ed)g(Storage\))144 b Fc(CSPSVX\()15 +b(FACT,)f(UPLO,)28 b(N,)120 b(NRHS,)14 b(AP,)106 b(AFP,)15 +b(IPIV,)279 b(B,)13 b(LDB,)i(X,)e(LDX,)h(RCOND,)h(FERR,)f(BERR,)h +(WORK,)107 b(RWORK,)14 b(INFO)h(\))304 871 y(CHPSVX\()g(FACT,)f(UPLO,) +28 b(N,)120 b(NRHS,)14 b(AP,)106 b(AFP,)15 b(IPIV,)279 +b(B,)13 b(LDB,)i(X,)e(LDX,)h(RCOND,)h(FERR,)f(BERR,)h(WORK,)107 +b(RWORK,)14 b(INFO)h(\))-145 1026 y Fe(Divide)f(and)f(Conquer)g(and)g +(Exp)q(ert)f(Driv)o(er)i(Routines)f(for)h(Linear)g(Least)f(Squares)f +(Problems)-205 1115 y Fd(Problem)e(T)o(yp)q(e)271 b(Routine)p +-229 1125 1676 2 v -205 1145 a(Solv)o(e)11 b(Using)h(Orthogonal)g(F)n +(actor)49 b Fc(SGELSY\()15 b(M,)f(N,)f(NRHS,)i(A,)e(LDA,)i(B,)e(LDB,)h +(JPVT,)h(RCOND,)f(RANK,)h(WORK,)f(LWORK,)200 b(INFO)14 +b(\))257 1174 y(CGELSY\()h(M,)f(N,)f(NRHS,)i(A,)e(LDA,)i(B,)e(LDB,)h +(JPVT,)h(RCOND,)f(RANK,)h(WORK,)f(LWORK,)h(RWORK,)107 +b(INFO)14 b(\))-205 1232 y Fd(Solv)o(e)d(Using)h(SVD,)225 +b Fc(SGELSS\()15 b(M,)f(N,)f(NRHS,)i(A,)e(LDA,)i(B,)e(LDB,)54 +b(S,)14 b(RCOND,)g(RANK,)h(WORK,)f(LWORK,)200 b(INFO)14 +b(\))-205 1262 y Fd(Allo)o(wing)g(for)c(Rank-De\014ciency)69 +b Fc(CGELSS\()15 b(M,)f(N,)f(NRHS,)i(A,)e(LDA,)i(B,)e(LDB,)54 +b(S,)14 b(RCOND,)g(RANK,)h(WORK,)f(LWORK,)h(RWORK,)107 +b(INFO)14 b(\))-205 1320 y Fd(Solv)o(e)d(Using)h(D&C)e(SVD,)147 +b Fc(SGELSD\()15 b(M,)f(N,)f(NRHS,)i(A,)e(LDA,)i(B,)e(LDB,)54 +b(S,)14 b(RCOND,)g(RANK,)h(WORK,)f(LWORK,)107 b(IWORK,)15 +b(INFO)f(\))-205 1349 y Fd(Allo)o(wing)g(for)c(Rank-De\014ciency)69 +b Fc(CGELSD\()15 b(M,)f(N,)f(NRHS,)i(A,)e(LDA,)i(B,)e(LDB,)54 +b(S,)14 b(RCOND,)g(RANK,)h(WORK,)f(LWORK,)h(RWORK,)f(IWORK,)h(INFO)f +(\))p eop +%%Page: 4 4 +4 3 bop 150 -123 a Fe(Exp)q(ert)12 b(and)h(RRR)i(Driv)o(er)e(Routines)h +(for)g(Standard)d(and)h(Generalized)g(Symmetric)f(Eigen)o(v)n(alue)i +(Problems)-205 -35 y Fd(Matrix/Problem)f(T)o(yp)q(e)125 +b(Routine)p -229 -25 2497 2 v -205 -5 a(Symmetric/Hermitian)k +Fc(SSYEVX\()15 b(JOBZ,)f(RANGE,)h(UPLO,)f(N,)67 b(A,)14 +b(LDA,)146 b(VL,)14 b(VU,)g(IL,)g(IU,)g(ABSTOL,)h(M,)e(W,)h(Z,)g(LDZ,) +199 b(WORK,)14 b(LWORK,)214 b(IWORK,)14 b(IFAIL,)h(INFO)f(\))-205 +25 y Fd(Eigen)o(v)n(alues/v)o(ectors)161 b Fc(CHEEVX\()15 +b(JOBZ,)f(RANGE,)h(UPLO,)f(N,)67 b(A,)14 b(LDA,)146 b(VL,)14 +b(VU,)g(IL,)g(IU,)g(ABSTOL,)h(M,)e(W,)h(Z,)g(LDZ,)199 +b(WORK,)14 b(LWORK,)h(RWORK,)121 b(IWORK,)14 b(IFAIL,)h(INFO)f(\))218 +83 y(SSYEVR\()h(JOBZ,)f(RANGE,)h(UPLO,)f(N,)67 b(A,)14 +b(LDA,)146 b(VL,)14 b(VU,)g(IL,)g(IU,)g(ABSTOL,)h(M,)e(W,)h(Z,)g(LDZ,) +93 b(ISUPPZ,)15 b(WORK,)f(LWORK,)214 b(IWORK,)14 b(LIWORK,)h(INFO)f(\)) +218 112 y(CHEEVR\()h(JOBZ,)f(RANGE,)h(UPLO,)f(N,)67 b(A,)14 +b(LDA,)146 b(VL,)14 b(VU,)g(IL,)g(IU,)g(ABSTOL,)h(M,)e(W,)h(Z,)g(LDZ,) +93 b(ISUPPZ,)15 b(WORK,)f(LWORK,)h(RWORK,)g(LRWORK,)g(IWORK,)f(LIWORK,) +h(INFO)f(\))218 170 y(SSYGVX\()h(ITYPE,)f(JOBZ,)h(RANGE,)f(UPLO,)h(N,) +66 b(A,)14 b(LDA,)g(B,)g(LDB,)41 b(VL,)14 b(VU,)f(IL,)h(IU,)g(ABSTOL,)h +(M,)f(W,)g(Z,)f(LDZ,)107 b(WORK,)14 b(LWORK,)214 b(IWORK,)14 +b(IFAIL,)h(INFO)f(\))218 199 y(CHEGVX\()h(ITYPE,)f(JOBZ,)h(RANGE,)f +(UPLO,)h(N,)66 b(A,)14 b(LDA,)g(B,)g(LDB,)41 b(VL,)14 +b(VU,)f(IL,)h(IU,)g(ABSTOL,)h(M,)f(W,)g(Z,)f(LDZ,)107 +b(WORK,)14 b(LWORK,)h(RWORK,)121 b(IWORK,)14 b(IFAIL,)h(INFO)f(\))-205 +257 y Fd(Symmetric/Hermitian)129 b Fc(SSPEVX\()15 b(JOBZ,)f(RANGE,)h +(UPLO,)f(N,)67 b(AP,)199 b(VL,)14 b(VU,)g(IL,)g(IU,)g(ABSTOL,)h(M,)e +(W,)h(Z,)g(LDZ,)199 b(WORK,)306 b(IWORK,)14 b(IFAIL,)h(INFO)f(\))-205 +286 y Fd(\(P)o(ac)o(k)o(ed)d(Storage\))195 b Fc(CHPEVX\()15 +b(JOBZ,)f(RANGE,)h(UPLO,)f(N,)67 b(AP,)199 b(VL,)14 b(VU,)g(IL,)g(IU,)g +(ABSTOL,)h(M,)e(W,)h(Z,)g(LDZ,)199 b(WORK,)107 b(RWORK,)121 +b(IWORK,)14 b(IFAIL,)h(INFO)f(\))-205 315 y Fd(Eigen)o(v)n(alues/v)o +(ectors)218 344 y Fc(SSPGVX\()h(ITYPE,)f(JOBZ,)h(RANGE,)f(UPLO,)h(N,)66 +b(AP,)14 b(BP,)147 b(VL,)14 b(VU,)f(IL,)h(IU,)g(ABSTOL,)h(M,)f(W,)g(Z,) +f(LDZ,)107 b(WORK,)306 b(IWORK,)14 b(IFAIL,)h(INFO)f(\))218 +373 y(CHPGVX\()h(ITYPE,)f(JOBZ,)h(RANGE,)f(UPLO,)h(N,)66 +b(AP,)14 b(BP,)147 b(VL,)14 b(VU,)f(IL,)h(IU,)g(ABSTOL,)h(M,)f(W,)g(Z,) +f(LDZ,)107 b(WORK,)g(RWORK,)121 b(IWORK,)14 b(IFAIL,)h(INFO)f(\))-205 +431 y Fd(Symmetric/Hermitian)9 b(Band)50 b Fc(SSBEVX\()15 +b(JOBZ,)f(RANGE,)h(UPLO,)f(N,)g(KD,)g(AB,)g(LDAB,)g(Q,)g(LDQ,)g(VL,)g +(VU,)g(IL,)g(IU,)g(ABSTOL,)h(M,)e(W,)h(Z,)g(LDZ,)199 +b(WORK,)306 b(IWORK,)14 b(IFAIL,)h(INFO)f(\))-205 460 +y Fd(Eigen)o(v)n(alues/v)o(ectors)161 b Fc(CHBEVX\()15 +b(JOBZ,)f(RANGE,)h(UPLO,)f(N,)g(KD,)g(AB,)g(LDAB,)g(Q,)g(LDQ,)g(VL,)g +(VU,)g(IL,)g(IU,)g(ABSTOL,)h(M,)e(W,)h(Z,)g(LDZ,)199 +b(WORK,)107 b(RWORK,)121 b(IWORK,)14 b(IFAIL,)h(INFO)f(\))218 +519 y(SSBGVX\()h(JOBZ,)f(RANGE,)h(UPLO,)f(N,)g(KA,)g(KB,)g(AB,)g(LDAB,) +g(BB,)g(LDBB,)g(Q,)g(LDQ,)g(VL,)g(VU,)g(IL,)g(IU,)g(ABSTOL,)h(M,)e(W,)h +(Z,)g(LDZ,)g(WORK,)306 b(IWORK,)14 b(IFAIL,)h(INFO)f(\))218 +548 y(CHBGVX\()h(JOBZ,)f(RANGE,)h(UPLO,)f(N,)g(KA,)g(KB,)g(AB,)g(LDAB,) +g(BB,)g(LDBB,)g(Q,)g(LDQ,)g(VL,)g(VU,)g(IL,)g(IU,)g(ABSTOL,)h(M,)e(W,)h +(Z,)g(LDZ,)g(WORK,)107 b(RWORK,)121 b(IWORK,)14 b(IFAIL,)h(INFO)f(\)) +-205 606 y Fd(Symmetric)8 b(T)n(ridiagonal)120 b Fc(SSTEVX\()15 +b(JOBZ,)f(RANGE,)94 b(N,)67 b(D,)14 b(E,)172 b(VL,)14 +b(VU,)g(IL,)g(IU,)g(ABSTOL,)h(M,)e(W,)h(Z,)g(LDZ,)199 +b(WORK,)306 b(IWORK,)14 b(IFAIL,)h(INFO)f(\))-205 635 +y Fd(Eigen)o(v)n(alues/v)o(ectors)218 664 y Fc(SSTEVR\()h(JOBZ,)f +(RANGE,)94 b(N,)67 b(D,)14 b(E,)172 b(VL,)14 b(VU,)g(IL,)g(IU,)g +(ABSTOL,)h(M,)e(W,)h(Z,)g(LDZ,)93 b(ISUPPZ,)15 b(WORK,)f(LWORK,)214 +b(IWORK,)14 b(LIWORK,)h(INFO)f(\))387 819 y Fe(Exp)q(ert)f(Driv)o(er)h +(Routines)f(for)h(Standard)d(and)i(Generalized)f(Nonsymmetric)f(Eigen)o +(v)n(alue)h(Problems)-205 907 y Fd(Problem)e(T)o(yp)q(e)49 +b(Routine)p -229 917 2857 2 v -205 938 a(Sc)o(h)o(ur)165 +b Fc(SGEESX\()15 b(JOBVS,)g(SORT,)f(SELECT,)h(SENSE,)28 +b(N,)14 b(A,)f(LDA,)i(SDIM,)27 b(WR,)14 b(WI,)g(VS,)g(LDVS,)464 +b(RCONDE,)15 b(RCONDV,)319 b(WORK,)15 b(LWORK,)107 b(IWORK,)15 +b(LIWORK,)f(BWORK,)h(INFO)f(\))-205 967 y Fd(F)n(actorization)65 +b Fc(CGEESX\()15 b(JOBVS,)g(SORT,)f(SELECT,)h(SENSE,)28 +b(N,)14 b(A,)f(LDA,)i(SDIM,)27 b(W,)80 b(VS,)14 b(LDVS,)464 +b(RCONDE,)15 b(RCONDV,)319 b(WORK,)15 b(LWORK,)f(RWORK,)213 +b(BWORK,)15 b(INFO)f(\))35 1025 y(SGGESX\()h(JOBVSL,)g(JOBVSR,)g(SORT,) +f(SELCTG,)h(SENSE,)28 b(N,)14 b(A,)g(LDA,)g(B,)f(LDB,)i(SDIM,)f +(ALPHAR,)h(ALPHAI,)g(BETA,)f(VSL,)g(LDVSL,)h(VSR,)f(LDVSR,)h(RCONDE,)f +(RCONDV,)187 b(WORK,)15 b(LWORK,)107 b(IWORK,)15 b(LIWORK,)f(BWORK,)h +(INFO)f(\))35 1054 y(CGGESX\()h(JOBVSL,)g(JOBVSR,)g(SORT,)f(SELCTG,)h +(SENSE,)28 b(N,)14 b(A,)g(LDA,)g(B,)f(LDB,)i(SDIM,)f(ALPHAR,)h(ALPHAI,) +g(BETA,)f(VSL,)g(LDVSL,)h(VSR,)f(LDVSR,)h(RCONDE,)f(RCONDV,)187 +b(WORK,)15 b(LWORK,)f(RWORK,)h(IWORK,)g(LIWORK,)f(BWORK,)h(INFO)f(\)) +-205 1112 y Fd(Eigen)o(v)n(alues/)72 b Fc(SGEEVX\()15 +b(BALANC,)g(JOBVL,)g(JOBVR,)f(SENSE,)h(N,)f(A,)f(LDA,)107 +b(WR,)14 b(WI,)g(VL,)g(LDVL,)g(VR,)g(LDVR,)h(ILO,)f(IHI,)g(SCALE,)h +(ABNRM,)f(RCONDE,)h(RCONDV,)425 b(WORK,)15 b(LWORK,)107 +b(IWORK,)g(INFO)14 b(\))-205 1141 y Fd(v)o(ectors)146 +b Fc(CGEEVX\()15 b(BALANC,)g(JOBVL,)g(JOBVR,)f(SENSE,)h(N,)f(A,)f(LDA,) +107 b(W,)80 b(VL,)14 b(LDVL,)g(VR,)g(LDVR,)h(ILO,)f(IHI,)g(SCALE,)h +(ABNRM,)f(RCONDE,)h(RCONDV,)425 b(WORK,)15 b(LWORK,)f(RWORK,)200 +b(INFO)14 b(\))35 1199 y(SGGEVX\()h(BALANC,)g(JOBVL,)g(JOBVR,)f(SENSE,) +h(N,)f(A,)f(LDA,)i(B,)e(LDB,)h(ALPHAR,)h(ALPHAI,)g(BETA,)g(VL,)e(LDVL,) +i(VR,)f(LDVR,)g(ILO,)g(IHI,)g(LSCALE,)h(RSCALE,)g(ABNRM,)g(BBNRM,)f +(RCONDE,)h(RCONDV,)g(WORK,)g(LWORK,)107 b(IWORK,)14 b(BWORK,)h(INFO)f +(\))35 1228 y(CGGEVX\()h(BALANC,)g(JOBVL,)g(JOBVR,)f(SENSE,)h(N,)f(A,)f +(LDA,)i(B,)e(LDB,)h(ALPHAR,)h(ALPHAI,)g(BETA,)g(VL,)e(LDVL,)i(VR,)f +(LDVR,)g(ILO,)g(IHI,)g(LSCALE,)h(RSCALE,)g(ABNRM,)g(BBNRM,)f(RCONDE,)h +(RCONDV,)g(WORK,)g(LWORK,)f(RWORK,)h(IWORK,)f(BWORK,)h(INFO)f(\))1095 +1373 y Fe(Meaning)g(of)g(pre\014xes)921 1442 y Fb(Routines)9 +b(b)q(eginning)g(with)j(\\S")e(are)h(a)o(v)n(ailable)e(in:)1200 +1512 y Fa(S)17 b(-)h(REAL)1094 1551 y(D)f(-)h(DOUBLE)d(PRECISION)918 +1591 y Fb(Routines)9 b(b)q(eginning)g(with)j(\\C")f(are)g(a)o(v)n +(ailable)e(in:)1173 1660 y Fa(C)18 b(-)f(COMPLEX)1147 +1700 y(Z)g(-)h(COMPLEX*1)o(6)831 1739 y Fb(Note:)d Fa(COMPLEX*16)8 +b Fb(ma)o(y)j(not)g(b)q(e)g(supp)q(orted)d(b)o(y)j(all)g(mac)o(hines)p +eop +%%Trailer +end +userdict /end-hook known{end-hook}if +%%EOF diff --git a/liblapack-3.1.1-intrinsec_etime.patch b/liblapack-3.1.1-intrinsec_etime.patch new file mode 100644 index 0000000..059a13e --- /dev/null +++ b/liblapack-3.1.1-intrinsec_etime.patch @@ -0,0 +1,46 @@ +diff -Nru lapack-3.1.1.orig/INSTALL/dsecnd_EXT_ETIME_.f lapack-3.1.1/INSTALL/dsecnd_EXT_ETIME_.f +--- lapack-3.1.1.orig/INSTALL/dsecnd_EXT_ETIME_.f 2007-02-23 21:07:35.000000000 +0100 ++++ lapack-3.1.1/INSTALL/dsecnd_EXT_ETIME_.f 2007-05-19 15:28:05.000000000 +0200 +@@ -20,7 +20,6 @@ + * .. + * .. External Functions .. + REAL ETIME_ +- EXTERNAL ETIME_ + * .. + * .. Executable Statements .. + * +diff -Nru lapack-3.1.1.orig/INSTALL/dsecnd_EXT_ETIME.f lapack-3.1.1/INSTALL/dsecnd_EXT_ETIME.f +--- lapack-3.1.1.orig/INSTALL/dsecnd_EXT_ETIME.f 2007-02-23 21:07:35.000000000 +0100 ++++ lapack-3.1.1/INSTALL/dsecnd_EXT_ETIME.f 2007-05-19 15:27:27.000000000 +0200 +@@ -20,7 +20,6 @@ + * .. + * .. External Functions .. + REAL ETIME +- EXTERNAL ETIME + * .. + * .. Executable Statements .. + * +diff -Nru lapack-3.1.1.orig/INSTALL/second_EXT_ETIME_.f lapack-3.1.1/INSTALL/second_EXT_ETIME_.f +--- lapack-3.1.1.orig/INSTALL/second_EXT_ETIME_.f 2007-02-23 21:07:35.000000000 +0100 ++++ lapack-3.1.1/INSTALL/second_EXT_ETIME_.f 2007-05-19 15:28:24.000000000 +0200 +@@ -20,7 +20,6 @@ + * .. + * .. External Functions .. + REAL ETIME_ +- EXTERNAL ETIME_ + * .. + * .. Executable Statements .. + * +diff -Nru lapack-3.1.1.orig/INSTALL/second_EXT_ETIME.f lapack-3.1.1/INSTALL/second_EXT_ETIME.f +--- lapack-3.1.1.orig/INSTALL/second_EXT_ETIME.f 2007-02-23 21:07:35.000000000 +0100 ++++ lapack-3.1.1/INSTALL/second_EXT_ETIME.f 2007-05-19 15:28:14.000000000 +0200 +@@ -20,7 +20,6 @@ + * .. + * .. External Functions .. + REAL ETIME +- EXTERNAL ETIME + * .. + * .. Executable Statements .. + * + + diff --git a/liblapack-3.1.1-make.inc.patch b/liblapack-3.1.1-make.inc.patch new file mode 100644 index 0000000..c807ccb --- /dev/null +++ b/liblapack-3.1.1-make.inc.patch @@ -0,0 +1,23 @@ +--- lapack-3.1.1/INSTALL/make.inc.gfortran.BAD 2007-05-25 15:34:55.000000000 -0500 ++++ lapack-3.1.1/INSTALL/make.inc.gfortran 2007-05-25 15:35:51.000000000 -0500 +@@ -8,7 +8,7 @@ SHELL = /bin/sh + # + # The machine (platform) identifier to append to the library names + # +-PLAT = _LINUX ++PLAT = + # + # Modify the FORTRAN and OPTS definitions to refer to the + # compiler and desired compiler options for your machine. NOOPT +@@ -17,9 +17,9 @@ PLAT = _LINUX + # desired load options for your machine. + # + FORTRAN = gfortran +-OPTS = -O2 ++#OPTS = -O2 + DRVOPTS = $(OPTS) +-NOOPT = -O0 ++NOOPT = + LOADER = gfortran + LOADOPTS = + # diff --git a/liblapack-3.4.2-cmake-sover.patch b/liblapack-3.4.2-cmake-sover.patch new file mode 100644 index 0000000..2104efd --- /dev/null +++ b/liblapack-3.4.2-cmake-sover.patch @@ -0,0 +1,41 @@ +--- lapack-3.4.2/BLAS/SRC/CMakeLists.txt.sover~ 2010-08-10 18:57:20.000000000 +0200 ++++ lapack-3.4.2/BLAS/SRC/CMakeLists.txt 2013-02-13 03:42:25.385943586 +0100 +@@ -141,4 +141,8 @@ if(UNIX) + target_link_libraries(blas m) + endif() + target_link_libraries(blas) ++set_target_properties(blas PROPERTIES ++ VERSION ${LAPACK_VERSION} ++ SOVERSION ${CPACK_PACKAGE_VERSION_MAJOR} ++) + lapack_install_library(blas) +--- lapack-3.4.2/CMakeLists.txt.sover~ 2013-02-13 03:42:25.385943586 +0100 ++++ lapack-3.4.2/CMakeLists.txt 2013-02-13 03:46:41.686836962 +0100 +@@ -1,5 +1,7 @@ + cmake_minimum_required(VERSION 2.8) + project(LAPACK Fortran) ++set(LAPACK_VERSION 3.4.2) ++set(CPACK_PACKAGE_VERSION_MAJOR 3) + + # Configure the warning and code coverage suppression file + configure_file( +@@ -216,8 +218,6 @@ endif(LAPACKE) + SET(CPACK_PACKAGE_NAME "LAPACK") + SET(CPACK_PACKAGE_VENDOR "University of Tennessee, Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd") + SET(CPACK_PACKAGE_DESCRIPTION_SUMMARY "LAPACK- Linear Algebra Package") +-set(LAPACK_VERSION 3.4.2) +-set(CPACK_PACKAGE_VERSION_MAJOR 3) + set(CPACK_PACKAGE_VERSION_MINOR 4) + set(CPACK_PACKAGE_VERSION_PATCH 2) + set(CPACK_RESOURCE_FILE_LICENSE "${CMAKE_CURRENT_SOURCE_DIR}/LICENSE") +--- lapack-3.4.2/SRC/CMakeLists.txt.sover~ 2013-02-13 03:42:25.385943586 +0100 ++++ lapack-3.4.2/SRC/CMakeLists.txt 2013-02-13 03:44:42.637506806 +0100 +@@ -416,4 +416,8 @@ list(REMOVE_DUPLICATES ALLOBJ) + + add_library(lapack ${ALLOBJ} ${ALLXOBJ}) + target_link_libraries(lapack ${BLAS_LIBRARIES} ${XBLAS_LIBRARY}) ++set_target_properties(lapack PROPERTIES ++ VERSION ${LAPACK_VERSION} ++ SOVERSION ${CPACK_PACKAGE_VERSION_MAJOR} ++) + lapack_install_library(lapack) diff --git a/liblapack-3.4.2-lib64.patch b/liblapack-3.4.2-lib64.patch new file mode 100644 index 0000000..2c4b7e8 --- /dev/null +++ b/liblapack-3.4.2-lib64.patch @@ -0,0 +1,13 @@ +--- lapack-3.4.2/CMakeLists.txt.lib64~ 2013-02-13 03:47:26.821336133 +0100 ++++ lapack-3.4.2/CMakeLists.txt 2013-02-13 03:54:28.900909438 +0100 +@@ -282,8 +282,8 @@ install(FILES + ${LAPACK_GNUtoMS_IMPORT} + ${LAPACK_BINARY_DIR}/CMakeFiles/lapack-config.cmake + ${LAPACK_BINARY_DIR}/lapack-config-version.cmake +- DESTINATION lib/cmake/lapack-${LAPACK_VERSION} ++ DESTINATION lib${LIB_SUFFIX}/cmake/lapack-${LAPACK_VERSION} + ) + + install(EXPORT lapack-targets +- DESTINATION lib/cmake/lapack-${LAPACK_VERSION}) ++ DESTINATION lib${LIB_SUFFIX}/cmake/lapack-${LAPACK_VERSION}) diff --git a/liblapack.spec b/liblapack.spec new file mode 100644 index 0000000..b3e1fc1 --- /dev/null +++ b/liblapack.spec @@ -0,0 +1,238 @@ +%define majver %(echo %version | cut -d. -f 1-2) +%define MAJversion %(echo %version | cut -d. -f 1) +%define blasversion %version +%define blasmajversion %MAJversion + +Name: liblapack +Version: 3.5.0 +Release: 1mamba +Summary: LAPACK - Linear Algebra PACKage +Group: System/Libraries +Vendor: openmamba +Distribution: openmamba +Packager: Silvan Calarco +URL: http://www.netlib.org/lapack/ +Source: http://www.netlib.org/lapack/lapack-%{version}.tgz +Source1: http://www.netlib.org/lapack/lapackqref.ps +Source2: http://www.netlib.org/blas/blasqr.ps +Source3: http://www.netlib.org/lapack/manpages.tgz +# http://tianyangma.blogspot.it/2012/03/linux-easiest-way-to-compile-lapack.html +#Source4: http://users.wfu.edu/cottrell/lapack/lapack-%{majver}.0-autoconf.tar.gz +Patch0: %{name}-3.1.1-intrinsec_etime.patch +Patch1: liblapack-3.1.1-make.inc.patch +Patch2: liblapack-3.4.2-cmake-sover.patch +Patch3: liblapack-3.4.2-lib64.patch +License: BSD +## AUTOBUILDREQ-BEGIN +BuildRequires: gcc-fortran +BuildRequires: glibc-devel +BuildRequires: libgcc +%ifnarch arm +BuildRequires: libquadmath-devel +%endif +BuildRequires: libxblas-devel +## AUTOBUILDREQ-END +BuildRoot: %{_tmppath}/%{name}-%{version}-root + +%description +LAPACK is written in Fortran77 and provides routines for solving systems of simultaneous linear equations, least-squares solutions of linear systems of equations, eigenvalue problems, and singular value problems. +The associated matrix factorizations (LU, Cholesky, QR, SVD, Schur, generalized Schur) are also provided, as are related computations such as reordering of the Schur factorizations and estimating condition numbers. +Dense and banded matrices are handled, but not general sparse matrices. +In all areas, similar functionality is provided for real and complex matrices, in both single and double precision. + +%package devel +Group: Development/Libraries +Summary: Static libraries and headers for %{name} +Requires: %{name} = %{?epoch:%epoch:}%{version}-%{release} + +%description devel +LAPACK is written in Fortran77 and provides routines for solving systems of simultaneous linear equations, least-squares solutions of linear systems of equations, eigenvalue problems, and singular value problems. +The associated matrix factorizations (LU, Cholesky, QR, SVD, Schur, generalized Schur) are also provided, as are related computations such as reordering of the Schur factorizations and estimating condition numbers. +Dense and banded matrices are handled, but not general sparse matrices. +In all areas, similar functionality is provided for real and complex matrices, in both single and double precision. + +This package contains static libraries and header files need for development. + +%package -n libblas +Group: System/Libraries +Summary: BLAS - Basic Linear Algebra Subprograms + +%description -n libblas +The BLAS (Basic Linear Algebra Subprograms) are routines that provide standard building blocks for performing basic vector and matrix operations. +The Level 1 BLAS perform scalar, vector and vector-vector operations, the Level 2 BLAS perform matrix-vector operations, and the Level 3 BLAS perform matrix-matrix operations. +Because the BLAS are efficient, portable, and widely available, they are commonly used in the development of high quality linear algebra software, LAPACK for example. + +%package -n libblas-devel +Group: Development/Libraries +Summary: Static libraries and headers for libblas +Requires: libblas = %{?epoch:%epoch:}%{version}-%{release} + +%description -n libblas-devel +The BLAS (Basic Linear Algebra Subprograms) are routines that provide standard building blocks for performing basic vector and matrix operations. +The Level 1 BLAS perform scalar, vector and vector-vector operations, the Level 2 BLAS perform matrix-vector operations, and the Level 3 BLAS perform matrix-matrix operations. +Because the BLAS are efficient, portable, and widely available, they are commonly used in the development of high quality linear algebra software, LAPACK for example. + +This package contains static libraries and header files need for development. + +%package apidocs +Group: Documentation +Summary: %{name} API documentation +Requires: %{name} = %{?epoch:%epoch:}%{version}-%{release} + +%description apidocs +This package includes the %{name} API documentation. + +%debug_package + +%prep +%setup -q -n lapack-%{version} +%setup -q -n lapack-%{version} -D -T -a 3 +#-a 4 +%patch0 -p1 +#% patch1 -p1 +%patch2 -p1 +%patch3 -p1 + +cp %{S:1} lapackqref.ps +cp %{S:2} blasqr.ps + +%build +%cmake -d build \ + -DUSE_XBLAS=ON \ + -DBUILD_STATIC_LIBS=ON \ + -DBUILD_SHARED_LIBS=OFF \ + -DBUILD_TESTING=OFF \ + -DCMAKE_Fortran_COMPILER_FORCED=ON \ + -DCMAKE_SHARED_LINKER_FLAGS=-lgfortran \ +%ifarch x86_64 + -DXBLAS_LIBRARY=%{_libdir}/libxblas.so \ + -DLIB_SUFFIX=64 +%endif + +%make +cd .. + +%cmake -d build \ + -DUSE_XBLAS=ON \ + -DBUILD_STATIC_LIBS=OFF \ + -DBUILD_SHARED_LIBS=ON \ + -DBUILD_TESTING=OFF \ + -DCMAKE_Fortran_COMPILER_FORCED=ON \ + -DCMAKE_SHARED_LINKER_FLAGS=-lgfortran \ +%ifarch x86_64 + -DXBLAS_LIBRARY=%{_libdir}/libxblas.so \ + -DLIB_SUFFIX=64 +%endif + +%make + +%install +[ "%{buildroot}" != / ] && rm -rf "%{buildroot}" +%makeinstall -C build + +install -m0644 build/lib/*.a %{buildroot}%{_libdir}/ + +### install manfiles +## duplicated +#rm -f manpages/man/manl/lsame.l* +#rm -f manpages/man/manl/xerbla.l* + +mkdir -p %{buildroot}%{_mandir}/man3 +for manfile in man/man3/* ; do + filename=$(basename $manfile .l).3 + install -m 644 -p $manfile \ + %{buildroot}%{_mandir}/man3/$filename + echo "%{_mandir}/man3/$filename.gz" >> %{name}mans +done + +%clean +[ "%{buildroot}" != / ] && rm -rf "%{buildroot}" +rm -f .*mans + +%post -p /sbin/ldconfig +%postun -p /sbin/ldconfig + +%post -n libblas -p /sbin/ldconfig +%postun -n libblas -p /sbin/ldconfig + +%files +%defattr(-,root,root) +%{_libdir}/%{name}.so.* + +%files devel +%defattr(-,root,root) +%{_libdir}/cmake/lapack-3.4.2/lapack-config-version.cmake +%{_libdir}/cmake/lapack-3.4.2/lapack-config.cmake +%{_libdir}/cmake/lapack-3.4.2/lapack-targets-noconfig.cmake +%{_libdir}/cmake/lapack-3.4.2/lapack-targets.cmake +#%{_libdir}/libtmglib.so +%{_libdir}/liblapack.a +%{_libdir}/liblapack.so +%{_libdir}/pkgconfig/lapack.pc +%doc README + +%files -n libblas +%defattr(-,root,root) +%{_libdir}/libblas.so.* + +%files apidocs -f %{name}mans +%defattr(-,root,root) +%doc lapackqref.ps + +%files -n libblas-devel +%defattr(-,root,root) +%{_libdir}/libblas.a +%{_libdir}/libblas.so +%{_libdir}/pkgconfig/blas.pc +%doc blasqr.ps + +%changelog +* Sun Mar 02 2014 Silvan Calarco 3.5.0-1mamba +- update to 3.5.0 + +* Mon Aug 26 2013 Silvan Calarco 3.4.2-5mamba +- rebuilt using cmake to fix linking with xblas +- moved man pages to liblapack-apidocs +- +* Mon Aug 26 2013 Silvan Calarco 3.4.2-4mamba +- rebuilt with extended precision support (requires libxblas-devel) + +* Thu Aug 22 2013 Silvan Calarco 3.4.2-3mamba +- rebuilt static library required to build libatlas + +* Wed Aug 21 2013 Silvan Calarco 3.4.2-2mamba +- moved man 3 pages to -devel packages + +* Thu Oct 11 2012 Automatic Build System 3.4.2-1mamba +- automatic version update by autodist + +* Mon Jul 02 2012 Automatic Build System 3.4.1-1mamba +- automatic version update by autodist + +* Sun May 30 2010 Silvan Calarco 3.2.1-4mamba +- support cross platform gfortran compiler + +* Tue Mar 02 2010 gil 3.2.1-3mamba +- see http://mail.scipy.org/pipermail/scipy-user/2007-July/012968.html +- rebuilt with fedora Makefiles support + +* Mon Mar 01 2010 gil 3.2.1-2mamba +- added manpages + +* Sun Jul 26 2009 Automatic Build System 3.2.1-1mamba +- automatic update by autodist + +* Thu Jun 04 2009 Automatic Build System 3.2-1mamba +- automatic update by autodist + +* Fri Sep 12 2008 Silvan Calarco 3.1.1-2mamba +- rebuilt against gcc-fortran 4.3.2 + +* Sat May 19 2007 Silvan Calarco 3.1.1-1mamba +- update to 3.1.1 + +* Sun Feb 18 2007 Silvan Calarco 3.1.0-2qilnx +- rebuilt + +* Tue Nov 21 2006 Stefano Cotta Ramusino 3.1.0-1qilnx +- package created by autospec