dlarfb (l) - Linux Manuals

dlarfb: applies a real block reflector H or its transpose Haq to a real m by n matrix C, from either the left or the right

NAME

DLARFB - applies a real block reflector H or its transpose Haq to a real m by n matrix C, from either the left or the right

SYNOPSIS

SUBROUTINE DLARFB(

SIDE, TRANS, DIRECT, STOREV, M, N, K, V, LDV, T, LDT, C, LDC, WORK, LDWORK )

    

IMPLICIT NONE

    

CHARACTER DIRECT, SIDE, STOREV, TRANS

    

INTEGER K, LDC, LDT, LDV, LDWORK, M, N

    

DOUBLE PRECISION C( LDC, * ), T( LDT, * ), V( LDV, * ), WORK( LDWORK, * )

PURPOSE

DLARFB applies a real block reflector H or its transpose Haq to a real m by n matrix C, from either the left or the right.

ARGUMENTS

SIDE (input) CHARACTER*1

= aqLaq: apply H or Haq from the Left
= aqRaq: apply H or Haq from the Right

TRANS (input) CHARACTER*1

= aqNaq: apply H (No transpose)
= aqTaq: apply Haq (Transpose)

DIRECT (input) CHARACTER*1

Indicates how H is formed from a product of elementary reflectors = aqFaq: H = H(1) H(2) . . . H(k) (Forward)
= aqBaq: H = H(k) . . . H(2) H(1) (Backward)

STOREV (input) CHARACTER*1

Indicates how the vectors which define the elementary reflectors are stored:
= aqCaq: Columnwise
= aqRaq: Rowwise

M (input) INTEGER

The number of rows of the matrix C.

N (input) INTEGER

The number of columns of the matrix C.

K (input) INTEGER

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

V (input) DOUBLE PRECISION array, dimension

(LDV,K) if STOREV = aqCaq (LDV,M) if STOREV = aqRaq and SIDE = aqLaq (LDV,N) if STOREV = aqRaq and SIDE = aqRaq The matrix V. See further details.

LDV (input) INTEGER

The leading dimension of the array V. If STOREV = aqCaq and SIDE = aqLaq, LDV >= max(1,M); if STOREV = aqCaq and SIDE = aqRaq, LDV >= max(1,N); if STOREV = aqRaq, LDV >= K.

T (input) DOUBLE PRECISION array, dimension (LDT,K)

The triangular k by k matrix T in the representation of the block reflector.

LDT (input) INTEGER

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

C (input/output) DOUBLE PRECISION array, dimension (LDC,N)

On entry, the m by n matrix C. On exit, C is overwritten by H*C or Haq*C or C*H or C*Haq.

LDC (input) INTEGER

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

WORK (workspace) DOUBLE PRECISION array, dimension (LDWORK,K)

LDWORK (input) INTEGER

The leading dimension of the array WORK. If SIDE = aqLaq, LDWORK >= max(1,N); if SIDE = aqRaq, LDWORK >= max(1,M).