clarz - N matrix C, from either the left or the right
SUBROUTINE CLARZ(SIDE, M, N, L, V, INCV, TAU, C, LDC, WORK) CHARACTER*1 SIDE COMPLEX TAU COMPLEX V(*), C(LDC,*), WORK(*) INTEGER M, N, L, INCV, LDC SUBROUTINE CLARZ_64(SIDE, M, N, L, V, INCV, TAU, C, LDC, WORK) CHARACTER*1 SIDE COMPLEX TAU COMPLEX V(*), C(LDC,*), WORK(*) INTEGER*8 M, N, L, INCV, LDC F95 INTERFACE SUBROUTINE LARZ(SIDE, M, N, L, V, INCV, TAU, C, LDC, WORK) CHARACTER(LEN=1) :: SIDE COMPLEX :: TAU COMPLEX, DIMENSION(:) :: V, WORK COMPLEX, DIMENSION(:,:) :: C INTEGER :: M, N, L, INCV, LDC SUBROUTINE LARZ_64(SIDE, M, N, L, V, INCV, TAU, C, LDC, WORK) CHARACTER(LEN=1) :: SIDE COMPLEX :: TAU COMPLEX, DIMENSION(:) :: V, WORK COMPLEX, DIMENSION(:,:) :: C INTEGER(8) :: M, N, L, INCV, LDC C INTERFACE #include <sunperf.h> void clarz(char side, int m, int n, int l, complex *v, int incv, com- plex *tau, complex *c, int ldc); void clarz_64(char side, long m, long n, long l, complex *v, long incv, complex *tau, complex *c, long ldc);
Oracle Solaris Studio Performance Library clarz(3P) NAME clarz - apply a complex elementary reflector H to a complex M-by-N matrix C, from either the left or the right SYNOPSIS SUBROUTINE CLARZ(SIDE, M, N, L, V, INCV, TAU, C, LDC, WORK) CHARACTER*1 SIDE COMPLEX TAU COMPLEX V(*), C(LDC,*), WORK(*) INTEGER M, N, L, INCV, LDC SUBROUTINE CLARZ_64(SIDE, M, N, L, V, INCV, TAU, C, LDC, WORK) CHARACTER*1 SIDE COMPLEX TAU COMPLEX V(*), C(LDC,*), WORK(*) INTEGER*8 M, N, L, INCV, LDC F95 INTERFACE SUBROUTINE LARZ(SIDE, M, N, L, V, INCV, TAU, C, LDC, WORK) CHARACTER(LEN=1) :: SIDE COMPLEX :: TAU COMPLEX, DIMENSION(:) :: V, WORK COMPLEX, DIMENSION(:,:) :: C INTEGER :: M, N, L, INCV, LDC SUBROUTINE LARZ_64(SIDE, M, N, L, V, INCV, TAU, C, LDC, WORK) CHARACTER(LEN=1) :: SIDE COMPLEX :: TAU COMPLEX, DIMENSION(:) :: V, WORK COMPLEX, DIMENSION(:,:) :: C INTEGER(8) :: M, N, L, INCV, LDC C INTERFACE #include <sunperf.h> void clarz(char side, int m, int n, int l, complex *v, int incv, com- plex *tau, complex *c, int ldc); void clarz_64(char side, long m, long n, long l, complex *v, long incv, complex *tau, complex *c, long ldc); PURPOSE clarz applies a complex elementary reflector H to a complex M-by-N matrix C, from either the left or the right. H is represented in the form H = I - tau * v * v' where tau is a complex scalar and v is a complex vector. If tau = 0, then H is taken to be the unit matrix. To apply H' (the conjugate transpose of H), supply conjg(tau) instead tau. H is a product of k elementary reflectors as returned by CTZRZF. ARGUMENTS SIDE (input) = 'L': form H * C = 'R': form C * H M (input) The number of rows of the matrix C. N (input) The number of columns of the matrix C. L (input) The number of entries of the vector V containing the meaning- ful part of the Householder vectors. If SIDE = 'L', M >= L >= 0, if SIDE = 'R', N >= L >= 0. V (input) COMPLEX array of dimension (1+(L-1)*abs(INCV)) The vector v in the representation of H as returned by CTZRZF. V is not used if TAU = 0. INCV (input) The increment between elements of v. INCV <> 0. TAU (input) The value tau in the representation of H. C (input/output) On entry, the M-by-N matrix C. On exit, C is overwritten by the matrix H * C if SIDE = 'L', or C * H if SIDE = 'R'. LDC (input) The leading dimension of the array C. LDC >= max(1,M). WORK (workspace) (N) if SIDE = 'L' or (M) if SIDE = 'R' FURTHER DETAILS Based on contributions by A. Petitet, Computer Science Dept., Univ. of Tenn., Knoxville, USA 7 Nov 2015 clarz(3P)