dormtr - N matrix C with Q*C or Q**T*C or C*Q**T or C*Q.
SUBROUTINE DORMTR(SIDE, UPLO, TRANS, M, N, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) CHARACTER*1 SIDE, UPLO, TRANS INTEGER M, N, LDA, LDC, LWORK, INFO DOUBLE PRECISION A(LDA,*), TAU(*), C(LDC,*), WORK(*) SUBROUTINE DORMTR_64(SIDE, UPLO, TRANS, M, N, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) CHARACTER*1 SIDE, UPLO, TRANS INTEGER*8 M, N, LDA, LDC, LWORK, INFO DOUBLE PRECISION A(LDA,*), TAU(*), C(LDC,*), WORK(*) F95 INTERFACE SUBROUTINE ORMTR(SIDE, UPLO, TRANS, M, N, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) CHARACTER(LEN=1) :: SIDE, UPLO, TRANS INTEGER :: M, N, LDA, LDC, LWORK, INFO REAL(8), DIMENSION(:) :: TAU, WORK REAL(8), DIMENSION(:,:) :: A, C SUBROUTINE ORMTR_64(SIDE, UPLO, TRANS, M, N, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) CHARACTER(LEN=1) :: SIDE, UPLO, TRANS INTEGER(8) :: M, N, LDA, LDC, LWORK, INFO REAL(8), DIMENSION(:) :: TAU, WORK REAL(8), DIMENSION(:,:) :: A, C C INTERFACE #include <sunperf.h> void dormtr(char side, char uplo, char trans, int m, int n, double *a, int lda, double *tau, double *c, int ldc, int *info); void dormtr_64(char side, char uplo, char trans, long m, long n, double *a, long lda, double *tau, double *c, long ldc, long *info);
Oracle Solaris Studio Performance Library dormtr(3P) NAME dormtr - overwrite the general real M-by-N matrix C with Q*C or Q**T*C or C*Q**T or C*Q. SYNOPSIS SUBROUTINE DORMTR(SIDE, UPLO, TRANS, M, N, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) CHARACTER*1 SIDE, UPLO, TRANS INTEGER M, N, LDA, LDC, LWORK, INFO DOUBLE PRECISION A(LDA,*), TAU(*), C(LDC,*), WORK(*) SUBROUTINE DORMTR_64(SIDE, UPLO, TRANS, M, N, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) CHARACTER*1 SIDE, UPLO, TRANS INTEGER*8 M, N, LDA, LDC, LWORK, INFO DOUBLE PRECISION A(LDA,*), TAU(*), C(LDC,*), WORK(*) F95 INTERFACE SUBROUTINE ORMTR(SIDE, UPLO, TRANS, M, N, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) CHARACTER(LEN=1) :: SIDE, UPLO, TRANS INTEGER :: M, N, LDA, LDC, LWORK, INFO REAL(8), DIMENSION(:) :: TAU, WORK REAL(8), DIMENSION(:,:) :: A, C SUBROUTINE ORMTR_64(SIDE, UPLO, TRANS, M, N, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) CHARACTER(LEN=1) :: SIDE, UPLO, TRANS INTEGER(8) :: M, N, LDA, LDC, LWORK, INFO REAL(8), DIMENSION(:) :: TAU, WORK REAL(8), DIMENSION(:,:) :: A, C C INTERFACE #include <sunperf.h> void dormtr(char side, char uplo, char trans, int m, int n, double *a, int lda, double *tau, double *c, int ldc, int *info); void dormtr_64(char side, char uplo, char trans, long m, long n, double *a, long lda, double *tau, double *c, long ldc, long *info); PURPOSE dormtr overwrites the general real M-by-N matrix C with SIDE = 'L' SIDE = 'R' TRANS = 'N': Q * C C * Q TRANS = 'T': Q**T * C C * Q**T where Q is a real orthogonal matrix of order nq, with nq = m if SIDE = 'L' and nq = n if SIDE = 'R'. Q is defined as the product of nq-1 ele- mentary reflectors, as returned by DSYTRD: if UPLO = 'U', Q = H(nq-1) . . . H(2) H(1); if UPLO = 'L', Q = H(1) H(2) . . . H(nq-1). ARGUMENTS SIDE (input) = 'L': apply Q or Q**T from the Left; = 'R': apply Q or Q**T from the Right. UPLO (input) = 'U': Upper triangle of A contains elementary reflectors from DSYTRD; = 'L': Lower triangle of A contains elementary reflectors from DSYTRD. TRANS (input) = 'N': No transpose, apply Q; = 'T': Transpose, apply Q**T. M (input) The number of rows of the matrix C. M >= 0. N (input) The number of columns of the matrix C. N >= 0. A (input) (LDA,M) if SIDE = 'L' (LDA,N) if SIDE = 'R' The vectors which define the elementary reflectors, as returned by DSYTRD. LDA (input) The leading dimension of the array A. LDA >= max(1,M) if SIDE = 'L'; LDA >= max(1,N) if SIDE = 'R'. TAU (input) (M-1) if SIDE = 'L' (N-1) if SIDE = 'R' TAU(i) must contain the scalar factor of the elementary reflector H(i), as returned by DSYTRD. C (input/output) On entry, the M-by-N matrix C. On exit, C is overwritten by Q*C or Q**T*C or C*Q**T or C*Q. LDC (input) The leading dimension of the array C. LDC >= max(1,M). WORK (workspace) On exit, if INFO = 0, WORK(1) returns the optimal LWORK. LWORK (input) The dimension of the array WORK. If SIDE = 'L', LWORK >= max(1,N); if SIDE = 'R', LWORK >= max(1,M). For optimum per- formance LWORK >= N*NB if SIDE = 'L', and LWORK >= M*NB if SIDE = 'R', where NB is the optimal blocksize. If LWORK = -1, then a workspace query is assumed; the routine only calculates the optimal size of the WORK array, returns this value as the first entry of the WORK array, and no error message related to LWORK is issued by XERBLA. INFO (output) = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value 7 Nov 2015 dormtr(3P)