lahef_aa - la{he,sy}f_aa: triangular factor partial factor

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subroutineclahef_aa(characteruplo,integerj1,integerm,integernb,complex,dimension(lda,*)a,integerlda,integer,dimension(*)ipiv,complex,dimension(ldh,*)h,integerldh,complex,dimension(*)work)CLAHEF_AAPurpose: CLAHEF_AA factorizes a panel of a complex hermitian matrix A using the Aasen's algorithm. The panel consists of a set of NB rows of A when UPLO is U, or a set of NB columns when UPLO is L. In order to factorize the panel, the Aasen's algorithm requires the last row, or column, of the previous panel. The first row, or column, of A is set to be the first row, or column, of an identity matrix, which is used to factorize the first panel. The resulting J-th row of U, or J-th column of L, is stored in the (J-1)-th row, or column, of A (without the unit diagonals), while the diagonal and subdiagonal of A are overwritten by those of T. ParametersUPLO UPLO is CHARACTER*1 = 'U': Upper triangle of A is stored; = 'L': Lower triangle of A is stored. J1 J1 is INTEGER The location of the first row, or column, of the panel within the submatrix of A, passed to this routine, e.g., when called by CHETRF_AA, for the first panel, J1 is 1, while for the remaining panels, J1 is 2. M M is INTEGER The dimension of the submatrix. M >= 0. NB NB is INTEGER The dimension of the panel to be facotorized. A A is COMPLEX array, dimension (LDA,M) for the first panel, while dimension (LDA,M+1) for the remaining panels. On entry, A contains the last row, or column, of the previous panel, and the trailing submatrix of A to be factorized, except for the first panel, only the panel is passed. On exit, the leading panel is factorized. 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 row and column interchanges, the row and column k were interchanged with the row and column IPIV(k). H H is COMPLEX workspace, dimension (LDH,NB). LDH LDH is INTEGER The leading dimension of the workspace H. LDH >= max(1,M). WORK WORK is COMPLEX workspace, dimension (M). Author Univ. of Tennessee Univ. of California Berkeley Univ. of Colorado Denver NAG Ltd. subroutineclasyf_aa(characteruplo,integerj1,integerm,integernb,complex,dimension(lda,*)a,integerlda,integer,dimension(*)ipiv,complex,dimension(ldh,*)h,integerldh,complex,dimension(*)work)CLASYF_AAPurpose: DLATRF_AA factorizes a panel of a complex symmetric matrix A using the Aasen's algorithm. The panel consists of a set of NB rows of A when UPLO is U, or a set of NB columns when UPLO is L. In order to factorize the panel, the Aasen's algorithm requires the last row, or column, of the previous panel. The first row, or column, of A is set to be the first row, or column, of an identity matrix, which is used to factorize the first panel. The resulting J-th row of U, or J-th column of L, is stored in the (J-1)-th row, or column, of A (without the unit diagonals), while the diagonal and subdiagonal of A are overwritten by those of T. ParametersUPLO UPLO is CHARACTER*1 = 'U': Upper triangle of A is stored; = 'L': Lower triangle of A is stored. J1 J1 is INTEGER The location of the first row, or column, of the panel within the submatrix of A, passed to this routine, e.g., when called by CSYTRF_AA, for the first panel, J1 is 1, while for the remaining panels, J1 is 2. M M is INTEGER The dimension of the submatrix. M >= 0. NB NB is INTEGER The dimension of the panel to be facotorized. A A is COMPLEX array, dimension (LDA,M) for the first panel, while dimension (LDA,M+1) for the remaining panels. On entry, A contains the last row, or column, of the previous panel, and the trailing submatrix of A to be factorized, except for the first panel, only the panel is passed. On exit, the leading panel is factorized. LDA LDA is INTEGER The leading dimension of the array A. LDA >= max(1,M). IPIV IPIV is INTEGER array, dimension (M) Details of the row and column interchanges, the row and column k were interchanged with the row and column IPIV(k). H H is COMPLEX workspace, dimension (LDH,NB). LDH LDH is INTEGER The leading dimension of the workspace H. LDH >= max(1,M). WORK WORK is COMPLEX workspace, dimension (M). Author Univ. of Tennessee Univ. of California Berkeley Univ. of Colorado Denver NAG Ltd. subroutinedlasyf_aa(characteruplo,integerj1,integerm,integernb,doubleprecision,dimension(lda,*)a,integerlda,integer,dimension(*)ipiv,doubleprecision,dimension(ldh,*)h,integerldh,doubleprecision,dimension(*)work)DLASYF_AAPurpose: DLATRF_AA factorizes a panel of a real symmetric matrix A using the Aasen's algorithm. The panel consists of a set of NB rows of A when UPLO is U, or a set of NB columns when UPLO is L. In order to factorize the panel, the Aasen's algorithm requires the last row, or column, of the previous panel. The first row, or column, of A is set to be the first row, or column, of an identity matrix, which is used to factorize the first panel. The resulting J-th row of U, or J-th column of L, is stored in the (J-1)-th row, or column, of A (without the unit diagonals), while the diagonal and subdiagonal of A are overwritten by those of T. ParametersUPLO UPLO is CHARACTER*1 = 'U': Upper triangle of A is stored; = 'L': Lower triangle of A is stored. J1 J1 is INTEGER The location of the first row, or column, of the panel within the submatrix of A, passed to this routine, e.g., when called by DSYTRF_AA, for the first panel, J1 is 1, while for the remaining panels, J1 is 2. M M is INTEGER The dimension of the submatrix. M >= 0. NB NB is INTEGER The dimension of the panel to be facotorized. A A is DOUBLE PRECISION array, dimension (LDA,M) for the first panel, while dimension (LDA,M+1) for the remaining panels. On entry, A contains the last row, or column, of the previous panel, and the trailing submatrix of A to be factorized, except for the first panel, only the panel is passed. On exit, the leading panel is factorized. LDA LDA is INTEGER The leading dimension of the array A. LDA >= max(1,M). IPIV IPIV is INTEGER array, dimension (M) Details of the row and column interchanges, the row and column k were interchanged with the row and column IPIV(k). H H is DOUBLE PRECISION workspace, dimension (LDH,NB). LDH LDH is INTEGER The leading dimension of the workspace H. LDH >= max(1,M). WORK WORK is DOUBLE PRECISION workspace, dimension (M). Author Univ. of Tennessee Univ. of California Berkeley Univ. of Colorado Denver NAG Ltd. subroutineslasyf_aa(characteruplo,integerj1,integerm,integernb,real,dimension(lda,*)a,integerlda,integer,dimension(*)ipiv,real,dimension(ldh,*)h,integerldh,real,dimension(*)work)SLASYF_AAPurpose: DLATRF_AA factorizes a panel of a real symmetric matrix A using the Aasen's algorithm. The panel consists of a set of NB rows of A when UPLO is U, or a set of NB columns when UPLO is L. In order to factorize the panel, the Aasen's algorithm requires the last row, or column, of the previous panel. The first row, or column, of A is set to be the first row, or column, of an identity matrix, which is used to factorize the first panel. The resulting J-th row of U, or J-th column of L, is stored in the (J-1)-th row, or column, of A (without the unit diagonals), while the diagonal and subdiagonal of A are overwritten by those of T. ParametersUPLO UPLO is CHARACTER*1 = 'U': Upper triangle of A is stored; = 'L': Lower triangle of A is stored. J1 J1 is INTEGER The location of the first row, or column, of the panel within the submatrix of A, passed to this routine, e.g., when called by SSYTRF_AA, for the first panel, J1 is 1, while for the remaining panels, J1 is 2. M M is INTEGER The dimension of the submatrix. M >= 0. NB NB is INTEGER The dimension of the panel to be facotorized. A A is REAL array, dimension (LDA,M) for the first panel, while dimension (LDA,M+1) for the remaining panels. On entry, A contains the last row, or column, of the previous panel, and the trailing submatrix of A to be factorized, except for the first panel, only the panel is passed. On exit, the leading panel is factorized. LDA LDA is INTEGER The leading dimension of the array A. LDA >= max(1,M). IPIV IPIV is INTEGER array, dimension (M) Details of the row and column interchanges, the row and column k were interchanged with the row and column IPIV(k). H H is REAL workspace, dimension (LDH,NB). LDH LDH is INTEGER The leading dimension of the workspace H. LDH >= max(1,M). WORK WORK is REAL workspace, dimension (M). Author Univ. of Tennessee Univ. of California Berkeley Univ. of Colorado Denver NAG Ltd. subroutinezlahef_aa(characteruplo,integerj1,integerm,integernb,complex*16,dimension(lda,*)a,integerlda,integer,dimension(*)ipiv,complex*16,dimension(ldh,*)h,integerldh,complex*16,dimension(*)work)ZLAHEF_AAPurpose: DLAHEF_AA factorizes a panel of a complex hermitian matrix A using the Aasen's algorithm. The panel consists of a set of NB rows of A when UPLO is U, or a set of NB columns when UPLO is L. In order to factorize the panel, the Aasen's algorithm requires the last row, or column, of the previous panel. The first row, or column, of A is set to be the first row, or column, of an identity matrix, which is used to factorize the first panel. The resulting J-th row of U, or J-th column of L, is stored in the (J-1)-th row, or column, of A (without the unit diagonals), while the diagonal and subdiagonal of A are overwritten by those of T. ParametersUPLO UPLO is CHARACTER*1 = 'U': Upper triangle of A is stored; = 'L': Lower triangle of A is stored. J1 J1 is INTEGER The location of the first row, or column, of the panel within the submatrix of A, passed to this routine, e.g., when called by ZHETRF_AA, for the first panel, J1 is 1, while for the remaining panels, J1 is 2. M M is INTEGER The dimension of the submatrix. M >= 0. NB NB is INTEGER The dimension of the panel to be facotorized. A A is COMPLEX*16 array, dimension (LDA,M) for the first panel, while dimension (LDA,M+1) for the remaining panels. On entry, A contains the last row, or column, of the previous panel, and the trailing submatrix of A to be factorized, except for the first panel, only the panel is passed. On exit, the leading panel is factorized. 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 row and column interchanges, the row and column k were interchanged with the row and column IPIV(k). H H is COMPLEX*16 workspace, dimension (LDH,NB). LDH LDH is INTEGER The leading dimension of the workspace H. LDH >= max(1,M). WORK WORK is COMPLEX*16 workspace, dimension (M). Author Univ. of Tennessee Univ. of California Berkeley Univ. of Colorado Denver NAG Ltd. subroutinezlasyf_aa(characteruplo,integerj1,integerm,integernb,complex*16,dimension(lda,*)a,integerlda,integer,dimension(*)ipiv,complex*16,dimension(ldh,*)h,integerldh,complex*16,dimension(*)work)ZLASYF_AAPurpose: DLATRF_AA factorizes a panel of a complex symmetric matrix A using the Aasen's algorithm. The panel consists of a set of NB rows of A when UPLO is U, or a set of NB columns when UPLO is L. In order to factorize the panel, the Aasen's algorithm requires the last row, or column, of the previous panel. The first row, or column, of A is set to be the first row, or column, of an identity matrix, which is used to factorize the first panel. The resulting J-th row of U, or J-th column of L, is stored in the (J-1)-th row, or column, of A (without the unit diagonals), while the diagonal and subdiagonal of A are overwritten by those of T. ParametersUPLO UPLO is CHARACTER*1 = 'U': Upper triangle of A is stored; = 'L': Lower triangle of A is stored. J1 J1 is INTEGER The location of the first row, or column, of the panel within the submatrix of A, passed to this routine, e.g., when called by ZSYTRF_AA, for the first panel, J1 is 1, while for the remaining panels, J1 is 2. M M is INTEGER The dimension of the submatrix. M >= 0. NB NB is INTEGER The dimension of the panel to be facotorized. A A is COMPLEX*16 array, dimension (LDA,M) for the first panel, while dimension (LDA,M+1) for the remaining panels. On entry, A contains the last row, or column, of the previous panel, and the trailing submatrix of A to be factorized, except for the first panel, only the panel is passed. On exit, the leading panel is factorized. LDA LDA is INTEGER The leading dimension of the array A. LDA >= max(1,M). IPIV IPIV is INTEGER array, dimension (M) Details of the row and column interchanges, the row and column k were interchanged with the row and column IPIV(k). H H is COMPLEX*16 workspace, dimension (LDH,NB). LDH LDH is INTEGER The leading dimension of the workspace H. LDH >= max(1,M). WORK WORK is COMPLEX*16 workspace, dimension (M). Author Univ. of Tennessee Univ. of California Berkeley Univ. of Colorado Denver NAG Ltd.

lahef_aa - la{he,sy}f_aa: triangular factor partial factor

Functions subroutine clahef_aa (uplo, j1, m, nb, a, lda, ipiv, h, ldh, work) CLAHEF_AA subroutine clasyf_aa (uplo, j1, m, nb, a, lda, ipiv, h, ldh, work) CLASYF_AA subroutine dlasyf_aa (uplo, j1, m, nb, a, lda, ipiv, h, ldh, work) DLASYF_AA subroutine slasyf_aa (uplo, j1, m, nb, a, lda, ipiv, h, ldh, work) SLASYF_AA subroutine zlahef_aa (uplo, j1, m, nb, a, lda, ipiv, h, ldh, work) ZLAHEF_AA subroutine zlasyf_aa (uplo, j1, m, nb, a, lda, ipiv, h, ldh, work) ZLASYF_AA