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)