Section 3: library functions
ssytd2.f – Synopsis Functions/Subroutines subroutine ssytd2 (UPLO, N, A, LDA, D, E, TAU, INFO) SSYTD2 reduces a symmetric matrix to real symmetric tridiagonal form by an orthogonal similarity transformation (unblocked algorithm). Function/Subroutine Documentation subroutine ssytd2 (characterUPLO, integerN, real, dimension( lda, * )A, integerLDA, real, dimension( * )D, real, dimension( * )E, real, dimension( * )TAU,…
ssyswapr.f – Synopsis Functions/Subroutines subroutine ssyswapr (UPLO, N, A, LDA, I1, I2) SSYSWAPR applies an elementary permutation on the rows and columns of a symmetric matrix. Function/Subroutine Documentation subroutine ssyswapr (characterUPLO, integerN, real, dimension( lda, n )A, integerLDA, integerI1, integerI2) SSYSWAPR applies an elementary permutation on the rows and columns of a symmetric matrix. Purpose:…
ssysvxx.f – Synopsis Functions/Subroutines subroutine ssysvxx (FACT, UPLO, N, NRHS, A, LDA, AF, LDAF, IPIV, EQUED, S, B, LDB, X, LDX, RCOND, RPVGRW, BERR, N_ERR_BNDS, ERR_BNDS_NORM, ERR_BNDS_COMP, NPARAMS, PARAMS, WORK, IWORK, INFO) SSYSVXX Function/Subroutine Documentation subroutine ssysvxx (characterFACT, characterUPLO, integerN, integerNRHS, real, dimension( lda, * )A, integerLDA, real, dimension( ldaf, * )AF, integerLDAF, integer, dimension(…
ssysvx.f – Synopsis Functions/Subroutines subroutine ssysvx (FACT, UPLO, N, NRHS, A, LDA, AF, LDAF, IPIV, B, LDB, X, LDX, RCOND, FERR, BERR, WORK, LWORK, IWORK, INFO) SSYSVX computes the solution to system of linear equations A * X = B for SY matrices Function/Subroutine Documentation subroutine ssysvx (characterFACT, characterUPLO, integerN, integerNRHS, real, dimension( lda, *…
ssysv.f – Synopsis Functions/Subroutines subroutine ssysv (UPLO, N, NRHS, A, LDA, IPIV, B, LDB, WORK, LWORK, INFO) SSYSV computes the solution to system of linear equations A * X = B for SY matrices Function/Subroutine Documentation subroutine ssysv (characterUPLO, integerN, integerNRHS, real, dimension( lda, * )A, integerLDA, integer, dimension( * )IPIV, real, dimension( ldb, *…
ssyrk.f – Synopsis Functions/Subroutines subroutine ssyrk (UPLO, TRANS, N, K, ALPHA, A, LDA, BETA, C, LDC) SSYRK Function/Subroutine Documentation subroutine ssyrk (characterUPLO, characterTRANS, integerN, integerK, realALPHA, real, dimension(lda,*)A, integerLDA, realBETA, real, dimension(ldc,*)C, integerLDC) SSYRK Purpose: SSYRK performs one of the symmetric rank k operations C := alpha*A*A**T + beta*C, or C := alpha*A**T*A + beta*C,…
ssyrfsx.f – Synopsis Functions/Subroutines subroutine ssyrfsx (UPLO, EQUED, N, NRHS, A, LDA, AF, LDAF, IPIV, S, B, LDB, X, LDX, RCOND, BERR, N_ERR_BNDS, ERR_BNDS_NORM, ERR_BNDS_COMP, NPARAMS, PARAMS, WORK, IWORK, INFO) SSYRFSX Function/Subroutine Documentation subroutine ssyrfsx (characterUPLO, characterEQUED, integerN, integerNRHS, real, dimension( lda, * )A, integerLDA, real, dimension( ldaf, * )AF, integerLDAF, integer, dimension( * )IPIV,…
ssyrfs.f – Synopsis Functions/Subroutines subroutine ssyrfs (UPLO, N, NRHS, A, LDA, AF, LDAF, IPIV, B, LDB, X, LDX, FERR, BERR, WORK, IWORK, INFO) SSYRFS Function/Subroutine Documentation subroutine ssyrfs (characterUPLO, integerN, integerNRHS, real, dimension( lda, * )A, integerLDA, real, dimension( ldaf, * )AF, integerLDAF, integer, dimension( * )IPIV, real, dimension( ldb, * )B, integerLDB, real, dimension(…
ssyr2k.f – Synopsis Functions/Subroutines subroutine ssyr2k (UPLO, TRANS, N, K, ALPHA, A, LDA, B, LDB, BETA, C, LDC) SSYR2K Function/Subroutine Documentation subroutine ssyr2k (characterUPLO, characterTRANS, integerN, integerK, realALPHA, real, dimension(lda,*)A, integerLDA, real, dimension(ldb,*)B, integerLDB, realBETA, real, dimension(ldc,*)C, integerLDC) SSYR2K Purpose: SSYR2K performs one of the symmetric rank 2k operations C := alpha*A*B**T + alpha*B*A**T +…
ssyr2.f – Synopsis Functions/Subroutines subroutine ssyr2 (UPLO, N, ALPHA, X, INCX, Y, INCY, A, LDA) SSYR2 Function/Subroutine Documentation subroutine ssyr2 (characterUPLO, integerN, realALPHA, real, dimension(*)X, integerINCX, real, dimension(*)Y, integerINCY, real, dimension(lda,*)A, integerLDA) SSYR2 Purpose: SSYR2 performs the symmetric rank 2 operation A := alpha*x*y**T + alpha*y*x**T + A, where alpha is a scalar, x and…
ssyr.f – Synopsis Functions/Subroutines subroutine ssyr (UPLO, N, ALPHA, X, INCX, A, LDA) SSYR Function/Subroutine Documentation subroutine ssyr (characterUPLO, integerN, realALPHA, real, dimension(*)X, integerINCX, real, dimension(lda,*)A, integerLDA) SSYR Purpose: SSYR performs the symmetric rank 1 operation A := alpha*x*x**T + A, where alpha is a real scalar, x is an n element vector and A…
ssymv.f – Synopsis Functions/Subroutines subroutine ssymv (UPLO, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY) SSYMV Function/Subroutine Documentation subroutine ssymv (characterUPLO, integerN, realALPHA, real, dimension(lda,*)A, integerLDA, real, dimension(*)X, integerINCX, realBETA, real, dimension(*)Y, integerINCY) SSYMV Purpose: SSYMV performs the matrix-vector operation y := alpha*A*x + beta*y, where alpha and beta are scalars, x and y…
ssymm.f – Synopsis Functions/Subroutines subroutine ssymm (SIDE, UPLO, M, N, ALPHA, A, LDA, B, LDB, BETA, C, LDC) SSYMM Function/Subroutine Documentation subroutine ssymm (characterSIDE, characterUPLO, integerM, integerN, realALPHA, real, dimension(lda,*)A, integerLDA, real, dimension(ldb,*)B, integerLDB, realBETA, real, dimension(ldc,*)C, integerLDC) SSYMM Purpose: SSYMM performs one of the matrix-matrix operations C := alpha*A*B + beta*C, or C :=…
ssygvx.f – Synopsis Functions/Subroutines subroutine ssygvx (ITYPE, JOBZ, RANGE, UPLO, N, A, LDA, B, LDB, VL, VU, IL, IU, ABSTOL, M, W, Z, LDZ, WORK, LWORK, IWORK, IFAIL, INFO) SSYGST Function/Subroutine Documentation subroutine ssygvx (integerITYPE, characterJOBZ, characterRANGE, characterUPLO, integerN, real, dimension( lda, * )A, integerLDA, real, dimension( ldb, * )B, integerLDB, realVL, realVU, integerIL, integerIU,…
ssygvd.f – Synopsis Functions/Subroutines subroutine ssygvd (ITYPE, JOBZ, UPLO, N, A, LDA, B, LDB, W, WORK, LWORK, IWORK, LIWORK, INFO) SSYGST Function/Subroutine Documentation subroutine ssygvd (integerITYPE, characterJOBZ, characterUPLO, integerN, real, dimension( lda, * )A, integerLDA, real, dimension( ldb, * )B, integerLDB, real, dimension( * )W, real, dimension( * )WORK, integerLWORK, integer, dimension( * )IWORK, integerLIWORK,…
ssygv.f – Synopsis Functions/Subroutines subroutine ssygv (ITYPE, JOBZ, UPLO, N, A, LDA, B, LDB, W, WORK, LWORK, INFO) SSYGST Function/Subroutine Documentation subroutine ssygv (integerITYPE, characterJOBZ, characterUPLO, integerN, real, dimension( lda, * )A, integerLDA, real, dimension( ldb, * )B, integerLDB, real, dimension( * )W, real, dimension( * )WORK, integerLWORK, integerINFO) SSYGST Purpose: SSYGV computes all the…
ssygst.f – Synopsis Functions/Subroutines subroutine ssygst (ITYPE, UPLO, N, A, LDA, B, LDB, INFO) SSYGST Function/Subroutine Documentation subroutine ssygst (integerITYPE, characterUPLO, integerN, real, dimension( lda, * )A, integerLDA, real, dimension( ldb, * )B, integerLDB, integerINFO) SSYGST Purpose: SSYGST reduces a real symmetric-definite generalized eigenproblem to standard form. If ITYPE = 1, the problem is A*x…
ssygs2.f – Synopsis Functions/Subroutines subroutine ssygs2 (ITYPE, UPLO, N, A, LDA, B, LDB, INFO) SSYGS2 reduces a symmetric definite generalized eigenproblem to standard form, using the factorization results obtained from spotrf (unblocked algorithm). Function/Subroutine Documentation subroutine ssygs2 (integerITYPE, characterUPLO, integerN, real, dimension( lda, * )A, integerLDA, real, dimension( ldb, * )B, integerLDB, integerINFO) SSYGS2 reduces…
ssyevx.f – Synopsis Functions/Subroutines subroutine ssyevx (JOBZ, RANGE, UPLO, N, A, LDA, VL, VU, IL, IU, ABSTOL, M, W, Z, LDZ, WORK, LWORK, IWORK, IFAIL, INFO) SSYEVX computes the eigenvalues and, optionally, the left and/or right eigenvectors for SY matrices Function/Subroutine Documentation subroutine ssyevx (characterJOBZ, characterRANGE, characterUPLO, integerN, real, dimension( lda, * )A, integerLDA, realVL,…
ssyevr.f – Synopsis Functions/Subroutines subroutine ssyevr (JOBZ, RANGE, UPLO, N, A, LDA, VL, VU, IL, IU, ABSTOL, M, W, Z, LDZ, ISUPPZ, WORK, LWORK, IWORK, LIWORK, INFO) SSYEVR computes the eigenvalues and, optionally, the left and/or right eigenvectors for SY matrices Function/Subroutine Documentation subroutine ssyevr (characterJOBZ, characterRANGE, characterUPLO, integerN, real, dimension( lda, * )A, integerLDA,…