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clarzb-f(3)

clarzb.f –

Synopsis

Functions/Subroutines

subroutine clarzb (SIDE, TRANS, DIRECT, STOREV, M, N, K, L, V, LDV, T, LDT, C, LDC, WORK, LDWORK)
CLARZB applies a block reflector or its conjugate-transpose to a general matrix.

Function/Subroutine Documentation

subroutine clarzb (characterSIDE, characterTRANS, characterDIRECT, characterSTOREV, integerM, integerN, integerK, integerL, complex, dimension( ldv, * )V, integerLDV, complex, dimension( ldt, * )T, integerLDT, complex, dimension( ldc, * )C, integerLDC, complex, dimension( ldwork, * )WORK, integerLDWORK)

CLARZB applies a block reflector or its conjugate-transpose to a general matrix.

Purpose:

 CLARZB applies a complex block reflector H or its transpose H**H
 to a complex distributed M-by-N C from the left or the right.
 Currently, only STOREV = 'R' and DIRECT = 'B' are supported.

 

Parameters:

SIDE

 SIDE is CHARACTER*1
 = 'L': apply H or H**H from the Left
 = 'R': apply H or H**H from the Right

TRANS

 TRANS is CHARACTER*1
 = 'N': apply H (No transpose)
 = 'C': apply H**H (Conjugate transpose)

DIRECT

 DIRECT is CHARACTER*1
 Indicates how H is formed from a product of elementary
 reflectors
 = 'F': H = H(1) H(2) . . . H(k) (Forward, not supported yet)
 = 'B': H = H(k) . . . H(2) H(1) (Backward)

STOREV

 STOREV is CHARACTER*1
 Indicates how the vectors which define the elementary
 reflectors are stored:
 = 'C': Columnwise (not supported yet)
 = 'R': Rowwise

M

 M is INTEGER
 The number of rows of the matrix C.

N

 N is INTEGER
 The number of columns of the matrix C.

K

 K is INTEGER
 The order of the matrix T (= the number of elementary
 reflectors whose product defines the block reflector).

L

 L is INTEGER
 The number of columns of the matrix V containing the
 meaningful part of the Householder reflectors.
 If SIDE = 'L', M >= L >= 0, if SIDE = 'R', N >= L >= 0.

V

 V is COMPLEX array, dimension (LDV,NV).
 If STOREV = 'C', NV = K; if STOREV = 'R', NV = L.

LDV

 LDV is INTEGER
 The leading dimension of the array V.
 If STOREV = 'C', LDV >= L; if STOREV = 'R', LDV >= K.

T

 T is COMPLEX array, dimension (LDT,K)
 The triangular K-by-K matrix T in the representation of the
 block reflector.

LDT

 LDT is INTEGER
 The leading dimension of the array T. LDT >= K.

C

 C is COMPLEX array, dimension (LDC,N)
 On entry, the M-by-N matrix C.
 On exit, C is overwritten by H*C or H**H*C or C*H or C*H**H.

LDC

 LDC is INTEGER
 The leading dimension of the array C. LDC >= max(1,M).

WORK

 WORK is COMPLEX array, dimension (LDWORK,K)

LDWORK

 LDWORK is INTEGER
 The leading dimension of the array WORK.
 If SIDE = 'L', LDWORK >= max(1,N);
 if SIDE = 'R', LDWORK >= max(1,M).

 

Author:

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Date:

September 2012

Contributors:

A. Petitet, Computer Science Dept., Univ. of Tenn., Knoxville, USA

Further Details:

 

Definition at line 183 of file clarzb.f.

Author

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