
sopmtr.f(3) LAPACK sopmtr.f(3)
NAME
sopmtr.f 
SYNOPSIS
Functions/Subroutines
subroutine sopmtr (SIDE, UPLO, TRANS, M, N, AP, TAU, C, LDC, WORK, INFO)
SOPMTR
Function/Subroutine Documentation
subroutine sopmtr (characterSIDE, characterUPLO, characterTRANS, integerM, integerN, real,
dimension( * )AP, real, dimension( * )TAU, real, dimension( ldc, * )C, integerLDC, real,
dimension( * )WORK, integerINFO)
SOPMTR
Purpose:
SOPMTR overwrites the general real MbyN 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 of order nq, with nq = m if
SIDE = 'L' and nq = n if SIDE = 'R'. Q is defined as the product of
nq1 elementary reflectors, as returned by SSPTRD using packed
storage:
if UPLO = 'U', Q = H(nq1) . . . H(2) H(1);
if UPLO = 'L', Q = H(1) H(2) . . . H(nq1).
Parameters:
SIDE
SIDE is CHARACTER*1
= 'L': apply Q or Q**T from the Left;
= 'R': apply Q or Q**T from the Right.
UPLO
UPLO is CHARACTER*1
= 'U': Upper triangular packed storage used in previous
call to SSPTRD;
= 'L': Lower triangular packed storage used in previous
call to SSPTRD.
TRANS
TRANS is CHARACTER*1
= 'N': No transpose, apply Q;
= 'T': Transpose, apply Q**T.
M
M is INTEGER
The number of rows of the matrix C. M >= 0.
N
N is INTEGER
The number of columns of the matrix C. N >= 0.
AP
AP is REAL array, 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 SSPTRD. AP is modified by the routine but
restored on exit.
TAU
TAU is REAL array, dimension (M1) if SIDE = 'L'
or (N1) if SIDE = 'R'
TAU(i) must contain the scalar factor of the elementary
reflector H(i), as returned by SSPTRD.
C
C is REAL array, dimension (LDC,N)
On entry, the MbyN matrix C.
On exit, C is overwritten by Q*C or Q**T*C or C*Q**T or C*Q.
LDC
LDC is INTEGER
The leading dimension of the array C. LDC >= max(1,M).
WORK
WORK is REAL array, dimension
(N) if SIDE = 'L'
(M) if SIDE = 'R'
INFO
INFO is INTEGER
= 0: successful exit
< 0: if INFO = i, the ith argument had an illegal value
Author:
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Date:
November 2011
Definition at line 150 of file sopmtr.f.
Author
Generated automatically by Doxygen for LAPACK from the source code.
Version 3.4.2 Tue Sep 25 2012 sopmtr.f(3) 
