zlarz - N matrix C, from either the left or the right
SUBROUTINE ZLARZ(SIDE, M, N, L, V, INCV, TAU, C, LDC, WORK) CHARACTER*1 SIDE DOUBLE COMPLEX TAU DOUBLE COMPLEX V(*), C(LDC,*), WORK(*) INTEGER M, N, L, INCV, LDC SUBROUTINE ZLARZ_64(SIDE, M, N, L, V, INCV, TAU, C, LDC, WORK) CHARACTER*1 SIDE DOUBLE COMPLEX TAU DOUBLE 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(8) :: TAU COMPLEX(8), DIMENSION(:) :: V, WORK COMPLEX(8), 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(8) :: TAU COMPLEX(8), DIMENSION(:) :: V, WORK COMPLEX(8), DIMENSION(:,:) :: C INTEGER(8) :: M, N, L, INCV, LDC C INTERFACE #include <sunperf.h> void zlarz(char side, int m, int n, int l, doublecomplex *v, int incv, doublecomplex *tau, doublecomplex *c, int ldc); void zlarz_64(char side, long m, long n, long l, doublecomplex *v, long incv, doublecomplex *tau, doublecomplex *c, long ldc);
Oracle Solaris Studio Performance Library zlarz(3P) NAME zlarz - apply a complex elementary reflector H to a complex M-by-N matrix C, from either the left or the right SYNOPSIS SUBROUTINE ZLARZ(SIDE, M, N, L, V, INCV, TAU, C, LDC, WORK) CHARACTER*1 SIDE DOUBLE COMPLEX TAU DOUBLE COMPLEX V(*), C(LDC,*), WORK(*) INTEGER M, N, L, INCV, LDC SUBROUTINE ZLARZ_64(SIDE, M, N, L, V, INCV, TAU, C, LDC, WORK) CHARACTER*1 SIDE DOUBLE COMPLEX TAU DOUBLE 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(8) :: TAU COMPLEX(8), DIMENSION(:) :: V, WORK COMPLEX(8), 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(8) :: TAU COMPLEX(8), DIMENSION(:) :: V, WORK COMPLEX(8), DIMENSION(:,:) :: C INTEGER(8) :: M, N, L, INCV, LDC C INTERFACE #include <sunperf.h> void zlarz(char side, int m, int n, int l, doublecomplex *v, int incv, doublecomplex *tau, doublecomplex *c, int ldc); void zlarz_64(char side, long m, long n, long l, doublecomplex *v, long incv, doublecomplex *tau, doublecomplex *c, long ldc); PURPOSE zlarz 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 ZTZRZF. 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*16 array of dimension (1+(L-1)*abs(INCV)) The vector v in the representation of H as returned by ZTZRZF. 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 zlarz(3P)