cung2l-f(3)

cung2l.f –

Synopsis

Functions/Subroutines

subroutine cung2l (M, N, K, A, LDA, TAU, WORK, INFO)
CUNG2L generates all or part of the unitary matrix Q from a QL factorization determined by cgeqlf (unblocked algorithm).

Function/Subroutine Documentation

subroutine cung2l (integerM, integerN, integerK, complex, dimension( lda, * )A, integerLDA, complex, dimension( * )TAU, complex, dimension( * )WORK, integerINFO)

CUNG2L generates all or part of the unitary matrix Q from a QL factorization determined by cgeqlf (unblocked algorithm).

Purpose:

 CUNG2L generates an m by n complex matrix Q with orthonormal columns,
 which is defined as the last n columns of a product of k elementary
 reflectors of order m
 Q = H(k) . . . H(2) H(1)
 as returned by CGEQLF.

 

Parameters:

M

 M is INTEGER
 The number of rows of the matrix Q. M >= 0.

N

 N is INTEGER
 The number of columns of the matrix Q. M >= N >= 0.

K

 K is INTEGER
 The number of elementary reflectors whose product defines the
 matrix Q. N >= K >= 0.

A

 A is COMPLEX array, dimension (LDA,N)
 On entry, the (n-k+i)-th column must contain the vector which
 defines the elementary reflector H(i), for i = 1,2,...,k, as
 returned by CGEQLF in the last k columns of its array
 argument A.
 On exit, the m-by-n matrix Q.

LDA

 LDA is INTEGER
 The first dimension of the array A. LDA >= max(1,M).

TAU

 TAU is COMPLEX array, dimension (K)
 TAU(i) must contain the scalar factor of the elementary
 reflector H(i), as returned by CGEQLF.

WORK

 WORK is COMPLEX array, dimension (N)

INFO

 INFO is INTEGER
 = 0: successful exit
 < 0: if INFO = -i, the i-th argument has an illegal value

 

Author:

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Date:

September 2012

Definition at line 115 of file cung2l.f.

Author

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