hetrs_aa_2stage(3) Library Functions Manual hetrs_aa_2stage(3) NAME hetrs_aa_2stage - {he,sy}trs_aa_2stage: triangular solve using factor SYNOPSIS Functions subroutine chetrs_aa_2stage (uplo, n, nrhs, a, lda, tb, ltb, ipiv, ipiv2, b, ldb, info) CHETRS_AA_2STAGE subroutine csytrs_aa_2stage (uplo, n, nrhs, a, lda, tb, ltb, ipiv, ipiv2, b, ldb, info) CSYTRS_AA_2STAGE subroutine dsytrs_aa_2stage (uplo, n, nrhs, a, lda, tb, ltb, ipiv, ipiv2, b, ldb, info) DSYTRS_AA_2STAGE subroutine ssytrs_aa_2stage (uplo, n, nrhs, a, lda, tb, ltb, ipiv, ipiv2, b, ldb, info) SSYTRS_AA_2STAGE subroutine zhetrs_aa_2stage (uplo, n, nrhs, a, lda, tb, ltb, ipiv, ipiv2, b, ldb, info) ZHETRS_AA_2STAGE subroutine zsytrs_aa_2stage (uplo, n, nrhs, a, lda, tb, ltb, ipiv, ipiv2, b, ldb, info) ZSYTRS_AA_2STAGE Detailed Description Function Documentation subroutine chetrs_aa_2stage (character uplo, integer n, integer nrhs, complex, dimension( lda, * ) a, integer lda, complex, dimension( * ) tb, integer ltb, integer, dimension( * ) ipiv, integer, dimension( * ) ipiv2, complex, dimension( ldb, * ) b, integer ldb, integer info) CHETRS_AA_2STAGE Purpose: CHETRS_AA_2STAGE solves a system of linear equations A*X = B with a real hermitian matrix A using the factorization A = U**T*T*U or A = L*T*L**T computed by CHETRF_AA_2STAGE. Parameters UPLO UPLO is CHARACTER*1 Specifies whether the details of the factorization are stored as an upper or lower triangular matrix. = 'U': Upper triangular, form is A = U**T*T*U; = 'L': Lower triangular, form is A = L*T*L**T. N N is INTEGER The order of the matrix A. N >= 0. NRHS NRHS is INTEGER The number of right hand sides, i.e., the number of columns of the matrix B. NRHS >= 0. A A is COMPLEX array, dimension (LDA,N) Details of factors computed by CHETRF_AA_2STAGE. LDA LDA is INTEGER The leading dimension of the array A. LDA >= max(1,N). TB TB is COMPLEX array, dimension (LTB) Details of factors computed by CHETRF_AA_2STAGE. LTB LTB is INTEGER The size of the array TB. LTB >= 4*N. IPIV IPIV is INTEGER array, dimension (N) Details of the interchanges as computed by CHETRF_AA_2STAGE. IPIV2 IPIV2 is INTEGER array, dimension (N) Details of the interchanges as computed by CHETRF_AA_2STAGE. B B is COMPLEX array, dimension (LDB,NRHS) On entry, the right hand side matrix B. On exit, the solution matrix X. LDB LDB is INTEGER The leading dimension of the array B. LDB >= max(1,N). INFO INFO is INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value Author Univ. of Tennessee Univ. of California Berkeley Univ. of Colorado Denver NAG Ltd. Definition at line 139 of file chetrs_aa_2stage.f. subroutine csytrs_aa_2stage (character uplo, integer n, integer nrhs, complex, dimension( lda, * ) a, integer lda, complex, dimension( * ) tb, integer ltb, integer, dimension( * ) ipiv, integer, dimension( * ) ipiv2, complex, dimension( ldb, * ) b, integer ldb, integer info) CSYTRS_AA_2STAGE Purpose: CSYTRS_AA_2STAGE solves a system of linear equations A*X = B with a complex symmetric matrix A using the factorization A = U**T*T*U or A = L*T*L**T computed by CSYTRF_AA_2STAGE. Parameters UPLO UPLO is CHARACTER*1 Specifies whether the details of the factorization are stored as an upper or lower triangular matrix. = 'U': Upper triangular, form is A = U**T*T*U; = 'L': Lower triangular, form is A = L*T*L**T. N N is INTEGER The order of the matrix A. N >= 0. NRHS NRHS is INTEGER The number of right hand sides, i.e., the number of columns of the matrix B. NRHS >= 0. A A is COMPLEX array, dimension (LDA,N) Details of factors computed by CSYTRF_AA_2STAGE. LDA LDA is INTEGER The leading dimension of the array A. LDA >= max(1,N). TB TB is COMPLEX array, dimension (LTB) Details of factors computed by CSYTRF_AA_2STAGE. LTB LTB is INTEGER The size of the array TB. LTB >= 4*N. IPIV IPIV is INTEGER array, dimension (N) Details of the interchanges as computed by CSYTRF_AA_2STAGE. IPIV2 IPIV2 is INTEGER array, dimension (N) Details of the interchanges as computed by CSYTRF_AA_2STAGE. B B is COMPLEX array, dimension (LDB,NRHS) On entry, the right hand side matrix B. On exit, the solution matrix X. LDB LDB is INTEGER The leading dimension of the array B. LDB >= max(1,N). INFO INFO is INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value Author Univ. of Tennessee Univ. of California Berkeley Univ. of Colorado Denver NAG Ltd. Definition at line 137 of file csytrs_aa_2stage.f. subroutine dsytrs_aa_2stage (character uplo, integer n, integer nrhs, double precision, dimension( lda, * ) a, integer lda, double precision, dimension( * ) tb, integer ltb, integer, dimension( * ) ipiv, integer, dimension( * ) ipiv2, double precision, dimension( ldb, * ) b, integer ldb, integer info) DSYTRS_AA_2STAGE Purpose: DSYTRS_AA_2STAGE solves a system of linear equations A*X = B with a real symmetric matrix A using the factorization A = U**T*T*U or A = L*T*L**T computed by DSYTRF_AA_2STAGE. Parameters UPLO UPLO is CHARACTER*1 Specifies whether the details of the factorization are stored as an upper or lower triangular matrix. = 'U': Upper triangular, form is A = U**T*T*U; = 'L': Lower triangular, form is A = L*T*L**T. N N is INTEGER The order of the matrix A. N >= 0. NRHS NRHS is INTEGER The number of right hand sides, i.e., the number of columns of the matrix B. NRHS >= 0. A A is DOUBLE PRECISION array, dimension (LDA,N) Details of factors computed by DSYTRF_AA_2STAGE. LDA LDA is INTEGER The leading dimension of the array A. LDA >= max(1,N). TB TB is DOUBLE PRECISION array, dimension (LTB) Details of factors computed by DSYTRF_AA_2STAGE. LTB LTB is INTEGER The size of the array TB. LTB >= 4*N. IPIV IPIV is INTEGER array, dimension (N) Details of the interchanges as computed by DSYTRF_AA_2STAGE. IPIV2 IPIV2 is INTEGER array, dimension (N) Details of the interchanges as computed by DSYTRF_AA_2STAGE. B B is DOUBLE PRECISION array, dimension (LDB,NRHS) On entry, the right hand side matrix B. On exit, the solution matrix X. LDB LDB is INTEGER The leading dimension of the array B. LDB >= max(1,N). INFO INFO is INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value Author Univ. of Tennessee Univ. of California Berkeley Univ. of Colorado Denver NAG Ltd. Definition at line 137 of file dsytrs_aa_2stage.f. subroutine ssytrs_aa_2stage (character uplo, integer n, integer nrhs, real, dimension( lda, * ) a, integer lda, real, dimension( * ) tb, integer ltb, integer, dimension( * ) ipiv, integer, dimension( * ) ipiv2, real, dimension( ldb, * ) b, integer ldb, integer info) SSYTRS_AA_2STAGE Purpose: SSYTRS_AA_2STAGE solves a system of linear equations A*X = B with a real symmetric matrix A using the factorization A = U**T*T*U or A = L*T*L**T computed by SSYTRF_AA_2STAGE. Parameters UPLO UPLO is CHARACTER*1 Specifies whether the details of the factorization are stored as an upper or lower triangular matrix. = 'U': Upper triangular, form is A = U**T*T*U; = 'L': Lower triangular, form is A = L*T*L**T. N N is INTEGER The order of the matrix A. N >= 0. NRHS NRHS is INTEGER The number of right hand sides, i.e., the number of columns of the matrix B. NRHS >= 0. A A is REAL array, dimension (LDA,N) Details of factors computed by SSYTRF_AA_2STAGE. LDA LDA is INTEGER The leading dimension of the array A. LDA >= max(1,N). TB TB is REAL array, dimension (LTB) Details of factors computed by SSYTRF_AA_2STAGE. LTB LTB is INTEGER The size of the array TB. LTB >= 4*N. IPIV IPIV is INTEGER array, dimension (N) Details of the interchanges as computed by SSYTRF_AA_2STAGE. IPIV2 IPIV2 is INTEGER array, dimension (N) Details of the interchanges as computed by SSYTRF_AA_2STAGE. B B is REAL array, dimension (LDB,NRHS) On entry, the right hand side matrix B. On exit, the solution matrix X. LDB LDB is INTEGER The leading dimension of the array B. LDB >= max(1,N). INFO INFO is INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value Author Univ. of Tennessee Univ. of California Berkeley Univ. of Colorado Denver NAG Ltd. Definition at line 137 of file ssytrs_aa_2stage.f. subroutine zhetrs_aa_2stage (character uplo, integer n, integer nrhs, complex*16, dimension( lda, * ) a, integer lda, complex*16, dimension( * ) tb, integer ltb, integer, dimension( * ) ipiv, integer, dimension( * ) ipiv2, complex*16, dimension( ldb, * ) b, integer ldb, integer info) ZHETRS_AA_2STAGE Purpose: ZHETRS_AA_2STAGE solves a system of linear equations A*X = B with a hermitian matrix A using the factorization A = U**H*T*U or A = L*T*L**H computed by ZHETRF_AA_2STAGE. Parameters UPLO UPLO is CHARACTER*1 Specifies whether the details of the factorization are stored as an upper or lower triangular matrix. = 'U': Upper triangular, form is A = U**H*T*U; = 'L': Lower triangular, form is A = L*T*L**H. N N is INTEGER The order of the matrix A. N >= 0. NRHS NRHS is INTEGER The number of right hand sides, i.e., the number of columns of the matrix B. NRHS >= 0. A A is COMPLEX*16 array, dimension (LDA,N) Details of factors computed by ZHETRF_AA_2STAGE. LDA LDA is INTEGER The leading dimension of the array A. LDA >= max(1,N). TB TB is COMPLEX*16 array, dimension (LTB) Details of factors computed by ZHETRF_AA_2STAGE. LTB LTB is INTEGER The size of the array TB. LTB >= 4*N. IPIV IPIV is INTEGER array, dimension (N) Details of the interchanges as computed by ZHETRF_AA_2STAGE. IPIV2 IPIV2 is INTEGER array, dimension (N) Details of the interchanges as computed by ZHETRF_AA_2STAGE. B B is COMPLEX*16 array, dimension (LDB,NRHS) On entry, the right hand side matrix B. On exit, the solution matrix X. LDB LDB is INTEGER The leading dimension of the array B. LDB >= max(1,N). INFO INFO is INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value Author Univ. of Tennessee Univ. of California Berkeley Univ. of Colorado Denver NAG Ltd. Definition at line 139 of file zhetrs_aa_2stage.f. subroutine zsytrs_aa_2stage (character uplo, integer n, integer nrhs, complex*16, dimension( lda, * ) a, integer lda, complex*16, dimension( * ) tb, integer ltb, integer, dimension( * ) ipiv, integer, dimension( * ) ipiv2, complex*16, dimension( ldb, * ) b, integer ldb, integer info) ZSYTRS_AA_2STAGE Purpose: ZSYTRS_AA_2STAGE solves a system of linear equations A*X = B with a complex symmetric matrix A using the factorization A = U**T*T*U or A = L*T*L**T computed by ZSYTRF_AA_2STAGE. Parameters UPLO UPLO is CHARACTER*1 Specifies whether the details of the factorization are stored as an upper or lower triangular matrix. = 'U': Upper triangular, form is A = U**T*T*U; = 'L': Lower triangular, form is A = L*T*L**T. N N is INTEGER The order of the matrix A. N >= 0. NRHS NRHS is INTEGER The number of right hand sides, i.e., the number of columns of the matrix B. NRHS >= 0. A A is COMPLEX*16 array, dimension (LDA,N) Details of factors computed by ZSYTRF_AA_2STAGE. LDA LDA is INTEGER The leading dimension of the array A. LDA >= max(1,N). TB TB is COMPLEX*16 array, dimension (LTB) Details of factors computed by ZSYTRF_AA_2STAGE. LTB LTB is INTEGER The size of the array TB. LTB >= 4*N. IPIV IPIV is INTEGER array, dimension (N) Details of the interchanges as computed by ZSYTRF_AA_2STAGE. IPIV2 IPIV2 is INTEGER array, dimension (N) Details of the interchanges as computed by ZSYTRF_AA_2STAGE. B B is COMPLEX*16 array, dimension (LDB,NRHS) On entry, the right hand side matrix B. On exit, the solution matrix X. LDB LDB is INTEGER The leading dimension of the array B. LDB >= max(1,N). INFO INFO is INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value Author Univ. of Tennessee Univ. of California Berkeley Univ. of Colorado Denver NAG Ltd. Definition at line 137 of file zsytrs_aa_2stage.f. Author Generated automatically by Doxygen for LAPACK from the source code. LAPACK Version 3.12.0 hetrs_aa_2stage(3)