hetrs_aa_2stage - {he,sy}trs_aa_2stage: triangular solve using factor

Generated automatically by Doxygen for LAPACK from the source code. Version 3.12.0 Thu Aug 7 2025 17:26:25 hetrs_aa_2stage(3)

subroutinechetrs_aa_2stage(characteruplo,integern,integernrhs,complex,dimension(lda,*)a,integerlda,complex,dimension(*)tb,integerltb,integer,dimension(*)ipiv,integer,dimension(*)ipiv2,complex,dimension(ldb,*)b,integerldb,integerinfo)CHETRS_AA_2STAGEPurpose: 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. ParametersUPLO 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. subroutinecsytrs_aa_2stage(characteruplo,integern,integernrhs,complex,dimension(lda,*)a,integerlda,complex,dimension(*)tb,integerltb,integer,dimension(*)ipiv,integer,dimension(*)ipiv2,complex,dimension(ldb,*)b,integerldb,integerinfo)CSYTRS_AA_2STAGEPurpose: 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. ParametersUPLO 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. subroutinedsytrs_aa_2stage(characteruplo,integern,integernrhs,doubleprecision,dimension(lda,*)a,integerlda,doubleprecision,dimension(*)tb,integerltb,integer,dimension(*)ipiv,integer,dimension(*)ipiv2,doubleprecision,dimension(ldb,*)b,integerldb,integerinfo)DSYTRS_AA_2STAGEPurpose: 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. ParametersUPLO 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. subroutinessytrs_aa_2stage(characteruplo,integern,integernrhs,real,dimension(lda,*)a,integerlda,real,dimension(*)tb,integerltb,integer,dimension(*)ipiv,integer,dimension(*)ipiv2,real,dimension(ldb,*)b,integerldb,integerinfo)SSYTRS_AA_2STAGEPurpose: 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. ParametersUPLO 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. subroutinezhetrs_aa_2stage(characteruplo,integern,integernrhs,complex*16,dimension(lda,*)a,integerlda,complex*16,dimension(*)tb,integerltb,integer,dimension(*)ipiv,integer,dimension(*)ipiv2,complex*16,dimension(ldb,*)b,integerldb,integerinfo)ZHETRS_AA_2STAGEPurpose: 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. ParametersUPLO 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. subroutinezsytrs_aa_2stage(characteruplo,integern,integernrhs,complex*16,dimension(lda,*)a,integerlda,complex*16,dimension(*)tb,integerltb,integer,dimension(*)ipiv,integer,dimension(*)ipiv2,complex*16,dimension(ldb,*)b,integerldb,integerinfo)ZSYTRS_AA_2STAGEPurpose: 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. ParametersUPLO 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.

hetrs_aa_2stage - {he,sy}trs_aa_2stage: triangular solve using factor

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