sgemqrt - N matrix C with Q C, C Q, Q**T C, or C Q**T depe nding on values of SIDE and TRANS
SUBROUTINE SGEMQRT( SIDE, TRANS, M, N, K, NB, V, LDV, T, LDT, C, LDC, WORK, INFO ) CHARACTER*1 SIDE, TRANS INTEGER INFO, K, LDV, LDC, M, N, NB, LDT REAL V(LDV,*), C(LDC,*), T(LDT,*), WORK(*) SUBROUTINE SGEMQRT_64( SIDE, TRANS, M, N, K, NB, V, LDV, T, LDT, C, LDC, WORK, INFO ) CHARACTER*1 SIDE, TRANS INTEGER*8 INFO, K, LDV, LDC, M, N, NB, LDT REAL V(LDV,*), C(LDC,*), T(LDT,*), WORK(*) F95 INTERFACE SUBROUTINE GEMQRT( SIDE, TRANS, M, N, K, NB, V, LDV, T, LDT, C, LDC, WORK, INFO ) REAL, DIMENSION(:,:) :: V, T, C INTEGER :: M, N, K, NB, LDV, LDT, LDC, INFO CHARACTER(LEN=1) :: SIDE, TRANS REAL, DIMENSION(:) :: WORK SUBROUTINE GEMQRT_64( SIDE, TRANS, M, N, K, NB, V, LDV, T, LDT, C, LDC, WORK, INFO ) REAL, DIMENSION(:,:) :: V, T, C INTEGER(8) :: M, N, K, NB, LDV, LDT, LDC, INFO CHARACTER(LEN=1) :: SIDE, TRANS REAL, DIMENSION(:) :: WORK C INTERFACE #include <sunperf.h> void sgemqrt (char side, char trans, int m, int n, int k, int nb, float *v, int ldv, float *t, int ldt, float *c, int ldc, int *info); void sgemqrt_64 (char side, char trans, long m, long n, long k, long nb, float *v, long ldv, float *t, long ldt, float *c, long ldc, long *info);
Oracle Solaris Studio Performance Library sgemqrt(3P)
NAME
sgemqrt - overwrites the general real M-by-N matrix C with Q C, C Q,
Q**T C, or C Q**T depe nding on values of SIDE and TRANS
SYNOPSIS
SUBROUTINE SGEMQRT( SIDE, TRANS, M, N, K, NB, V, LDV, T, LDT, C, LDC,
WORK, INFO )
CHARACTER*1 SIDE, TRANS
INTEGER INFO, K, LDV, LDC, M, N, NB, LDT
REAL V(LDV,*), C(LDC,*), T(LDT,*), WORK(*)
SUBROUTINE SGEMQRT_64( SIDE, TRANS, M, N, K, NB, V, LDV, T, LDT, C,
LDC, WORK, INFO )
CHARACTER*1 SIDE, TRANS
INTEGER*8 INFO, K, LDV, LDC, M, N, NB, LDT
REAL V(LDV,*), C(LDC,*), T(LDT,*), WORK(*)
F95 INTERFACE
SUBROUTINE GEMQRT( SIDE, TRANS, M, N, K, NB, V, LDV, T, LDT, C, LDC,
WORK, INFO )
REAL, DIMENSION(:,:) :: V, T, C
INTEGER :: M, N, K, NB, LDV, LDT, LDC, INFO
CHARACTER(LEN=1) :: SIDE, TRANS
REAL, DIMENSION(:) :: WORK
SUBROUTINE GEMQRT_64( SIDE, TRANS, M, N, K, NB, V, LDV, T, LDT, C,
LDC, WORK, INFO )
REAL, DIMENSION(:,:) :: V, T, C
INTEGER(8) :: M, N, K, NB, LDV, LDT, LDC, INFO
CHARACTER(LEN=1) :: SIDE, TRANS
REAL, DIMENSION(:) :: WORK
C INTERFACE
#include <sunperf.h>
void sgemqrt (char side, char trans, int m, int n, int k, int nb, float
*v, int ldv, float *t, int ldt, float *c, int ldc, int
*info);
void sgemqrt_64 (char side, char trans, long m, long n, long k, long
nb, float *v, long ldv, float *t, long ldt, float *c, long
ldc, long *info);
PURPOSE
sgemqrt 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 defined as the product of K elemen-
tary reflectors:
Q = H(1) H(2) . . . H(K) = I - V T V**T
generated using the compact WY representation as returned by SGEQRT.
Q is of order M if SIDE = 'L' and of order N if SIDE = 'R'.
ARGUMENTS
SIDE (input)
SIDE is CHARACTER*1
= 'L': apply Q or Q**T from the Left;
= 'R': apply Q or Q**T from the Right.
TRANS (input)
TRANS is CHARACTER*1
= 'N': No transpose, apply Q;
= 'T': Transpose, apply Q**T.
M (input)
M is INTEGER
The number of rows of the matrix C. M >= 0.
N (input)
N is INTEGER
The number of columns of the matrix C. N >= 0.
K (input)
K is INTEGER
The number of elementary reflectors whose product defines
the matrix Q.
If SIDE = 'L', M >= K >= 0;
if SIDE = 'R', N >= K >= 0.
NB (input)
NB is INTEGER
The block size used for the storage of T. K >= NB >= 1.
This must be the same value of NB used to generate T
in CGEQRT.
V (input)
V is REAL array, dimension (LDV,K)
The i-th column must contain the vector which defines the
elementary reflector H(i), for i = 1,2,...,k, as returned by
CGEQRT in the first K columns of its array argument A.
LDV (input)
LDV is INTEGER
The leading dimension of the array V.
If SIDE = 'L', LDA >= max(1,M);
if SIDE = 'R', LDA >= max(1,N).
T (input)
T is REAL array, dimension (LDT,K)
The upper triangular factors of the block reflectors
as returned by CGEQRT, stored as a NB-by-N matrix.
LDT (input)
LDT is INTEGER
The leading dimension of the array T. LDT >= NB.
C (input/output)
C is REAL array, dimension (LDC,N)
On entry, the M-by-N matrix C.
On exit, C is overwritten by Q C, Q**T C, C Q**T or C Q.
LDC (input)
LDC is INTEGER
The leading dimension of the array C. LDC >= max(1,M).
WORK (output)
WORK is REAL array. The dimension of WORK is
N*NB if SIDE = 'L', or M*NB if SIDE = 'R'.
INFO (output)
INFO is INTEGER
= 0: successful exit
< 0: if INFO = -i, the i-th argument had an illegal value
7 Nov 2015 sgemqrt(3P)