zunmtr - N matrix C with Q*C, or Q**H*C, or C*Q**H, or C*Q, where Q is defined as the product of elemen- tary reflectors, as returned by ZHETRD
SUBROUTINE ZUNMTR(SIDE, UPLO, TRANS, M, N, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) CHARACTER*1 SIDE, UPLO, TRANS DOUBLE COMPLEX A(LDA,*), TAU(*), C(LDC,*), WORK(*) INTEGER M, N, LDA, LDC, LWORK, INFO SUBROUTINE ZUNMTR_64(SIDE, UPLO, TRANS, M, N, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) CHARACTER*1 SIDE, UPLO, TRANS DOUBLE COMPLEX A(LDA,*), TAU(*), C(LDC,*), WORK(*) INTEGER*8 M, N, LDA, LDC, LWORK, INFO F95 INTERFACE SUBROUTINE UNMTR(SIDE, UPLO, TRANS, M, N, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) CHARACTER(LEN=1) :: SIDE, UPLO, TRANS COMPLEX(8), DIMENSION(:) :: TAU, WORK COMPLEX(8), DIMENSION(:,:) :: A, C INTEGER :: M, N, LDA, LDC, LWORK, INFO SUBROUTINE UNMTR_64(SIDE, UPLO, TRANS, M, N, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) CHARACTER(LEN=1) :: SIDE, UPLO, TRANS COMPLEX(8), DIMENSION(:) :: TAU, WORK COMPLEX(8), DIMENSION(:,:) :: A, C INTEGER(8) :: M, N, LDA, LDC, LWORK, INFO C INTERFACE #include <sunperf.h> void zunmtr(char side, char uplo, char trans, int m, int n, doublecom- plex *a, int lda, doublecomplex *tau, doublecomplex *c, int ldc, int *info); void zunmtr_64(char side, char uplo, char trans, long m, long n, dou- blecomplex *a, long lda, doublecomplex *tau, doublecomplex *c, long ldc, long *info);
Oracle Solaris Studio Performance Library zunmtr(3P) NAME zunmtr - overwrite the general complex M-by-N matrix C with Q*C, or Q**H*C, or C*Q**H, or C*Q, where Q is defined as the product of elemen- tary reflectors, as returned by ZHETRD SYNOPSIS SUBROUTINE ZUNMTR(SIDE, UPLO, TRANS, M, N, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) CHARACTER*1 SIDE, UPLO, TRANS DOUBLE COMPLEX A(LDA,*), TAU(*), C(LDC,*), WORK(*) INTEGER M, N, LDA, LDC, LWORK, INFO SUBROUTINE ZUNMTR_64(SIDE, UPLO, TRANS, M, N, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) CHARACTER*1 SIDE, UPLO, TRANS DOUBLE COMPLEX A(LDA,*), TAU(*), C(LDC,*), WORK(*) INTEGER*8 M, N, LDA, LDC, LWORK, INFO F95 INTERFACE SUBROUTINE UNMTR(SIDE, UPLO, TRANS, M, N, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) CHARACTER(LEN=1) :: SIDE, UPLO, TRANS COMPLEX(8), DIMENSION(:) :: TAU, WORK COMPLEX(8), DIMENSION(:,:) :: A, C INTEGER :: M, N, LDA, LDC, LWORK, INFO SUBROUTINE UNMTR_64(SIDE, UPLO, TRANS, M, N, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) CHARACTER(LEN=1) :: SIDE, UPLO, TRANS COMPLEX(8), DIMENSION(:) :: TAU, WORK COMPLEX(8), DIMENSION(:,:) :: A, C INTEGER(8) :: M, N, LDA, LDC, LWORK, INFO C INTERFACE #include <sunperf.h> void zunmtr(char side, char uplo, char trans, int m, int n, doublecom- plex *a, int lda, doublecomplex *tau, doublecomplex *c, int ldc, int *info); void zunmtr_64(char side, char uplo, char trans, long m, long n, dou- blecomplex *a, long lda, doublecomplex *tau, doublecomplex *c, long ldc, long *info); PURPOSE zunmtr overwrites the general complex M-by-N matrix C with SIDE = 'L' SIDE = 'R' TRANS = 'N': Q * C C * Q TRANS = 'C': Q**H * C C * Q**H where Q is a complex unitary 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 ZHETRD: 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**H from the Left; = 'R': apply Q or Q**H from the Right. UPLO (input) = 'U': Upper triangle of A contains elementary reflectors from ZHETRD; = 'L': Lower triangle of A contains elementary reflectors from ZHETRD. TRANS (input) = 'N': No transpose, apply Q; = 'C': Conjugate transpose, apply Q**H. 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) dimension (LDA,M) if SIDE = 'L' (LDA,N) if SIDE = 'R' The vectors which define the elementary reflectors, as returned by ZHETRD. 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) dimension (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 ZHETRD. C (input/output) dimension (LDC,N) On entry, the M-by-N matrix C. On exit, C is overwritten by Q*C or Q**H*C or C*Q**H or C*Q. LDC (input) The leading dimension of the array C. LDC >= max(1,M). WORK (workspace) dimension (LWORK) 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 performance LWORK >= N*NB if SIDE = 'L', and LWORK >= M*NB if SIDE = 'R', where NB is the optimal block- size. 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 zunmtr(3P)