cupmtr - N matrix C with SIDE = 'L' SIDE = 'R' TRANS = 'N'
SUBROUTINE CUPMTR(SIDE, UPLO, TRANS, M, N, AP, TAU, C, LDC, WORK, INFO) CHARACTER*1 SIDE, UPLO, TRANS COMPLEX AP(*), TAU(*), C(LDC,*), WORK(*) INTEGER M, N, LDC, INFO SUBROUTINE CUPMTR_64(SIDE, UPLO, TRANS, M, N, AP, TAU, C, LDC, WORK, INFO) CHARACTER*1 SIDE, UPLO, TRANS COMPLEX AP(*), TAU(*), C(LDC,*), WORK(*) INTEGER*8 M, N, LDC, INFO F95 INTERFACE SUBROUTINE UPMTR(SIDE, UPLO, TRANS, M, N, AP, TAU, C, LDC, WORK, INFO) CHARACTER(LEN=1) :: SIDE, UPLO, TRANS COMPLEX, DIMENSION(:) :: AP, TAU, WORK COMPLEX, DIMENSION(:,:) :: C INTEGER :: M, N, LDC, INFO SUBROUTINE UPMTR_64(SIDE, UPLO, TRANS, M, N, AP, TAU, C, LDC, WORK, INFO) CHARACTER(LEN=1) :: SIDE, UPLO, TRANS COMPLEX, DIMENSION(:) :: AP, TAU, WORK COMPLEX, DIMENSION(:,:) :: C INTEGER(8) :: M, N, LDC, INFO C INTERFACE #include <sunperf.h> void cupmtr(char side, char uplo, char trans, int m, int n, complex *ap, complex *tau, complex *c, int ldc, int *info); void cupmtr_64(char side, char uplo, char trans, long m, long n, com- plex *ap, complex *tau, complex *c, long ldc, long *info);
Oracle Solaris Studio Performance Library cupmtr(3P) NAME cupmtr - overwrite the general complex M-by-N matrix C with SIDE = 'L' SIDE = 'R' TRANS = 'N' SYNOPSIS SUBROUTINE CUPMTR(SIDE, UPLO, TRANS, M, N, AP, TAU, C, LDC, WORK, INFO) CHARACTER*1 SIDE, UPLO, TRANS COMPLEX AP(*), TAU(*), C(LDC,*), WORK(*) INTEGER M, N, LDC, INFO SUBROUTINE CUPMTR_64(SIDE, UPLO, TRANS, M, N, AP, TAU, C, LDC, WORK, INFO) CHARACTER*1 SIDE, UPLO, TRANS COMPLEX AP(*), TAU(*), C(LDC,*), WORK(*) INTEGER*8 M, N, LDC, INFO F95 INTERFACE SUBROUTINE UPMTR(SIDE, UPLO, TRANS, M, N, AP, TAU, C, LDC, WORK, INFO) CHARACTER(LEN=1) :: SIDE, UPLO, TRANS COMPLEX, DIMENSION(:) :: AP, TAU, WORK COMPLEX, DIMENSION(:,:) :: C INTEGER :: M, N, LDC, INFO SUBROUTINE UPMTR_64(SIDE, UPLO, TRANS, M, N, AP, TAU, C, LDC, WORK, INFO) CHARACTER(LEN=1) :: SIDE, UPLO, TRANS COMPLEX, DIMENSION(:) :: AP, TAU, WORK COMPLEX, DIMENSION(:,:) :: C INTEGER(8) :: M, N, LDC, INFO C INTERFACE #include <sunperf.h> void cupmtr(char side, char uplo, char trans, int m, int n, complex *ap, complex *tau, complex *c, int ldc, int *info); void cupmtr_64(char side, char uplo, char trans, long m, long n, com- plex *ap, complex *tau, complex *c, long ldc, long *info); PURPOSE cupmtr 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 CHPTRD using packed storage: 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 triangular packed storage used in previous call to CHPTRD; = 'L': Lower triangular packed storage used in previous call to CHPTRD. 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. AP (input) dimension (M*(M+1)/2) if SIDE = 'L' (N*(N+1)/2) if SIDE = 'R' The vectors which define the elementary reflectors, as returned by CHPTRD. AP is modified by the routine but restored on exit. 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 CHPTRD. 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 (N) if SIDE = 'L' (M) if SIDE = 'R' INFO (output) = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value 7 Nov 2015 cupmtr(3P)