table of contents
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/ctpmlqt.f(3) | Library Functions Manual | /home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/ctpmlqt.f(3) |
NAME¶
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/ctpmlqt.f
SYNOPSIS¶
Functions/Subroutines¶
subroutine CTPMLQT (side, trans, m, n, k, l, mb, v, ldv, t,
ldt, a, lda, b, ldb, work, info)
CTPMLQT
Function/Subroutine Documentation¶
subroutine CTPMLQT (character side, character trans, integer m, integer n, integer k, integer l, integer mb, complex, dimension( ldv, * ) v, integer ldv, complex, dimension( ldt, * ) t, integer ldt, complex, dimension( lda, * ) a, integer lda, complex, dimension( ldb, * ) b, integer ldb, complex, dimension( * ) work, integer info)¶
CTPMLQT
Purpose:
!> !> CTPMLQT applies a complex unitary matrix Q obtained from a !> complex block reflector H to a general !> complex matrix C, which consists of two blocks A and B. !>
Parameters
SIDE
!> SIDE is CHARACTER*1 !> = 'L': apply Q or Q**H from the Left; !> = 'R': apply Q or Q**H from the Right. !>
TRANS
!> TRANS is CHARACTER*1 !> = 'N': No transpose, apply Q; !> = 'C': Conjugate transpose, apply Q**H. !>
M
!> M is INTEGER !> The number of rows of the matrix B. M >= 0. !>
N
!> N is INTEGER !> The number of columns of the matrix B. N >= 0. !>
K
!> K is INTEGER !> The number of elementary reflectors whose product defines !> the matrix Q. !>
L
!> L is INTEGER !> The order of the trapezoidal part of V. !> K >= L >= 0. See Further Details. !>
MB
!> MB is INTEGER !> The block size used for the storage of T. K >= MB >= 1. !> This must be the same value of MB used to generate T !> in CTPLQT. !>
V
!> V is COMPLEX array, dimension (LDV,K) !> The i-th row must contain the vector which defines the !> elementary reflector H(i), for i = 1,2,...,k, as returned by !> CTPLQT in B. See Further Details. !>
LDV
!> LDV is INTEGER !> The leading dimension of the array V. LDV >= K. !>
T
!> T is COMPLEX array, dimension (LDT,K) !> The upper triangular factors of the block reflectors !> as returned by CTPLQT, stored as a MB-by-K matrix. !>
LDT
!> LDT is INTEGER !> The leading dimension of the array T. LDT >= MB. !>
A
!> A is COMPLEX array, dimension !> (LDA,N) if SIDE = 'L' or !> (LDA,K) if SIDE = 'R' !> On entry, the K-by-N or M-by-K matrix A. !> On exit, A is overwritten by the corresponding block of !> Q*C or Q**H*C or C*Q or C*Q**H. See Further Details. !>
LDA
!> LDA is INTEGER !> The leading dimension of the array A. !> If SIDE = 'L', LDA >= max(1,K); !> If SIDE = 'R', LDA >= max(1,M). !>
B
!> B is COMPLEX array, dimension (LDB,N) !> On entry, the M-by-N matrix B. !> On exit, B is overwritten by the corresponding block of !> Q*C or Q**H*C or C*Q or C*Q**H. See Further Details. !>
LDB
!> LDB is INTEGER !> The leading dimension of the array B. !> LDB >= max(1,M). !>
WORK
!> WORK is COMPLEX array. The dimension of WORK is !> N*MB if SIDE = 'L', or M*MB if SIDE = 'R'. !>
INFO
!> INFO is INTEGER !> = 0: successful exit !> < 0: if INFO = -i, the i-th argument had an illegal value !>
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Further Details:
!> !> The columns of the pentagonal matrix V contain the elementary reflectors !> H(1), H(2), ..., H(K); V is composed of a rectangular block V1 and a !> trapezoidal block V2: !> !> V = [V1] [V2]. !> !> !> The size of the trapezoidal block V2 is determined by the parameter L, !> where 0 <= L <= K; V2 is lower trapezoidal, consisting of the first L !> rows of a K-by-K upper triangular matrix. If L=K, V2 is lower triangular; !> if L=0, there is no trapezoidal block, hence V = V1 is rectangular. !> !> If SIDE = 'L': C = [A] where A is K-by-N, B is M-by-N and V is K-by-M. !> [B] !> !> If SIDE = 'R': C = [A B] where A is M-by-K, B is M-by-N and V is K-by-N. !> !> The complex unitary matrix Q is formed from V and T. !> !> If TRANS='N' and SIDE='L', C is on exit replaced with Q * C. !> !> If TRANS='C' and SIDE='L', C is on exit replaced with Q**H * C. !> !> If TRANS='N' and SIDE='R', C is on exit replaced with C * Q. !> !> If TRANS='C' and SIDE='R', C is on exit replaced with C * Q**H. !>
Definition at line 197 of file ctpmlqt.f.
Author¶
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