hetrs2(3) Library Functions Manual hetrs2(3) NAME hetrs2 - {he,sy}trs2: solve using factor SYNOPSIS Functions subroutine chetrs2 (uplo, n, nrhs, a, lda, ipiv, b, ldb, work, info) CHETRS2 subroutine csytrs2 (uplo, n, nrhs, a, lda, ipiv, b, ldb, work, info) CSYTRS2 subroutine dsytrs2 (uplo, n, nrhs, a, lda, ipiv, b, ldb, work, info) DSYTRS2 subroutine ssytrs2 (uplo, n, nrhs, a, lda, ipiv, b, ldb, work, info) SSYTRS2 subroutine zhetrs2 (uplo, n, nrhs, a, lda, ipiv, b, ldb, work, info) ZHETRS2 subroutine zsytrs2 (uplo, n, nrhs, a, lda, ipiv, b, ldb, work, info) ZSYTRS2 Detailed Description Function Documentation subroutine chetrs2 (character uplo, integer n, integer nrhs, complex, dimension( lda, * ) a, integer lda, integer, dimension( * ) ipiv, complex, dimension( ldb, * ) b, integer ldb, complex, dimension( * ) work, integer info) CHETRS2 Purpose: !> !> CHETRS2 solves a system of linear equations A*X = B with a complex !> Hermitian matrix A using the factorization A = U*D*U**H or !> A = L*D*L**H computed by CHETRF and converted by CSYCONV. !> 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*D*U**H; !> = 'L': Lower triangular, form is A = L*D*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 array, dimension (LDA,N) !> The block diagonal matrix D and the multipliers used to !> obtain the factor U or L as computed by CHETRF. !> LDA !> LDA is INTEGER !> The leading dimension of the array A. LDA >= max(1,N). !> IPIV !> IPIV is INTEGER array, dimension (N) !> Details of the interchanges and the block structure of D !> as determined by CHETRF. !> 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). !> WORK !> WORK is COMPLEX array, dimension (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 125 of file chetrs2.f. subroutine csytrs2 (character uplo, integer n, integer nrhs, complex, dimension( lda, * ) a, integer lda, integer, dimension( * ) ipiv, complex, dimension( ldb, * ) b, integer ldb, complex, dimension( * ) work, integer info) CSYTRS2 Purpose: !> !> CSYTRS2 solves a system of linear equations A*X = B with a complex !> symmetric matrix A using the factorization A = U*D*U**T or !> A = L*D*L**T computed by CSYTRF and converted by CSYCONV. !> 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*D*U**T; !> = 'L': Lower triangular, form is A = L*D*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) !> The block diagonal matrix D and the multipliers used to !> obtain the factor U or L as computed by CSYTRF. !> Note that A is input / output. This might be counter-intuitive, !> and one may think that A is input only. A is input / output. This !> is because, at the start of the subroutine, we permute A in a !> form and then we permute A back to its original form at !> the end. !> LDA !> LDA is INTEGER !> The leading dimension of the array A. LDA >= max(1,N). !> IPIV !> IPIV is INTEGER array, dimension (N) !> Details of the interchanges and the block structure of D !> as determined by CSYTRF. !> 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). !> WORK !> WORK is COMPLEX array, dimension (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 130 of file csytrs2.f. subroutine dsytrs2 (character uplo, integer n, integer nrhs, double precision, dimension( lda, * ) a, integer lda, integer, dimension( * ) ipiv, double precision, dimension( ldb, * ) b, integer ldb, double precision, dimension( * ) work, integer info) DSYTRS2 Purpose: !> !> DSYTRS2 solves a system of linear equations A*X = B with a real !> symmetric matrix A using the factorization A = U*D*U**T or !> A = L*D*L**T computed by DSYTRF and converted by DSYCONV. !> 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*D*U**T; !> = 'L': Lower triangular, form is A = L*D*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) !> The block diagonal matrix D and the multipliers used to !> obtain the factor U or L as computed by DSYTRF. !> Note that A is input / output. This might be counter-intuitive, !> and one may think that A is input only. A is input / output. This !> is because, at the start of the subroutine, we permute A in a !> form and then we permute A back to its original form at !> the end. !> LDA !> LDA is INTEGER !> The leading dimension of the array A. LDA >= max(1,N). !> IPIV !> IPIV is INTEGER array, dimension (N) !> Details of the interchanges and the block structure of D !> as determined by DSYTRF. !> 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). !> WORK !> WORK is DOUBLE PRECISION array, dimension (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 130 of file dsytrs2.f. subroutine ssytrs2 (character uplo, integer n, integer nrhs, real, dimension( lda, * ) a, integer lda, integer, dimension( * ) ipiv, real, dimension( ldb, * ) b, integer ldb, real, dimension( * ) work, integer info) SSYTRS2 Purpose: !> !> SSYTRS2 solves a system of linear equations A*X = B with a real !> symmetric matrix A using the factorization A = U*D*U**T or !> A = L*D*L**T computed by SSYTRF and converted by SSYCONV. !> 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*D*U**T; !> = 'L': Lower triangular, form is A = L*D*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) !> The block diagonal matrix D and the multipliers used to !> obtain the factor U or L as computed by SSYTRF. !> Note that A is input / output. This might be counter-intuitive, !> and one may think that A is input only. A is input / output. This !> is because, at the start of the subroutine, we permute A in a !> form and then we permute A back to its original form at !> the end. !> LDA !> LDA is INTEGER !> The leading dimension of the array A. LDA >= max(1,N). !> IPIV !> IPIV is INTEGER array, dimension (N) !> Details of the interchanges and the block structure of D !> as determined by SSYTRF. !> 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). !> WORK !> WORK is REAL array, dimension (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 130 of file ssytrs2.f. subroutine zhetrs2 (character uplo, integer n, integer nrhs, complex*16, dimension( lda, * ) a, integer lda, integer, dimension( * ) ipiv, complex*16, dimension( ldb, * ) b, integer ldb, complex*16, dimension( * ) work, integer info) ZHETRS2 Purpose: !> !> ZHETRS2 solves a system of linear equations A*X = B with a complex !> Hermitian matrix A using the factorization A = U*D*U**H or !> A = L*D*L**H computed by ZHETRF and converted by ZSYCONV. !> 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*D*U**H; !> = 'L': Lower triangular, form is A = L*D*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) !> The block diagonal matrix D and the multipliers used to !> obtain the factor U or L as computed by ZHETRF. !> LDA !> LDA is INTEGER !> The leading dimension of the array A. LDA >= max(1,N). !> IPIV !> IPIV is INTEGER array, dimension (N) !> Details of the interchanges and the block structure of D !> as determined by ZHETRF. !> 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). !> WORK !> WORK is COMPLEX*16 array, dimension (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 125 of file zhetrs2.f. subroutine zsytrs2 (character uplo, integer n, integer nrhs, complex*16, dimension( lda, * ) a, integer lda, integer, dimension( * ) ipiv, complex*16, dimension( ldb, * ) b, integer ldb, complex*16, dimension( * ) work, integer info) ZSYTRS2 Purpose: !> !> ZSYTRS2 solves a system of linear equations A*X = B with a complex !> symmetric matrix A using the factorization A = U*D*U**T or !> A = L*D*L**T computed by ZSYTRF and converted by ZSYCONV. !> 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*D*U**T; !> = 'L': Lower triangular, form is A = L*D*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) !> The block diagonal matrix D and the multipliers used to !> obtain the factor U or L as computed by ZSYTRF. !> Note that A is input / output. This might be counter-intuitive, !> and one may think that A is input only. A is input / output. This !> is because, at the start of the subroutine, we permute A in a !> form and then we permute A back to its original form at !> the end. !> LDA !> LDA is INTEGER !> The leading dimension of the array A. LDA >= max(1,N). !> IPIV !> IPIV is INTEGER array, dimension (N) !> Details of the interchanges and the block structure of D !> as determined by ZSYTRF. !> 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). !> WORK !> WORK is COMPLEX*16 array, dimension (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 130 of file zsytrs2.f. Author Generated automatically by Doxygen for LAPACK from the source code. LAPACK Version 3.12.0 hetrs2(3)