claqp2.f

Section: LAPACK (3)
Updated: Tue Nov 14 2017
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NAME

claqp2.f  

SYNOPSIS


 

Functions/Subroutines


subroutine claqp2 (M, N, OFFSET, A, LDA, JPVT, TAU, VN1, VN2, WORK)
CLAQP2 computes a QR factorization with column pivoting of the matrix block.  

Function/Subroutine Documentation

 

subroutine claqp2 (integer M, integer N, integer OFFSET, complex, dimension( lda, * ) A, integer LDA, integer, dimension( * ) JPVT, complex, dimension( * ) TAU, real, dimension( * ) VN1, real, dimension( * ) VN2, complex, dimension( * ) WORK)

CLAQP2 computes a QR factorization with column pivoting of the matrix block.

Purpose:

 CLAQP2 computes a QR factorization with column pivoting of
 the block A(OFFSET+1:M,1:N).
 The block A(1:OFFSET,1:N) is accordingly pivoted, but not factorized.


 

Parameters:

M

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


N

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


OFFSET

          OFFSET is INTEGER
          The number of rows of the matrix A that must be pivoted
          but no factorized. OFFSET >= 0.


A

          A is COMPLEX array, dimension (LDA,N)
          On entry, the M-by-N matrix A.
          On exit, the upper triangle of block A(OFFSET+1:M,1:N) is
          the triangular factor obtained; the elements in block
          A(OFFSET+1:M,1:N) below the diagonal, together with the
          array TAU, represent the orthogonal matrix Q as a product of
          elementary reflectors. Block A(1:OFFSET,1:N) has been
          accordingly pivoted, but no factorized.


LDA

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


JPVT

          JPVT is INTEGER array, dimension (N)
          On entry, if JPVT(i) .ne. 0, the i-th column of A is permuted
          to the front of A*P (a leading column); if JPVT(i) = 0,
          the i-th column of A is a free column.
          On exit, if JPVT(i) = k, then the i-th column of A*P
          was the k-th column of A.


TAU

          TAU is COMPLEX array, dimension (min(M,N))
          The scalar factors of the elementary reflectors.


VN1

          VN1 is REAL array, dimension (N)
          The vector with the partial column norms.


VN2

          VN2 is REAL array, dimension (N)
          The vector with the exact column norms.


WORK

          WORK is COMPLEX array, dimension (N)


 

Author:

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Date:

December 2016

Contributors:

G. Quintana-Orti, Depto. de Informatica, Universidad Jaime I, Spain X. Sun, Computer Science Dept., Duke University, USA

 Partial column norm updating strategy modified on April 2011 Z. Drmac and Z. Bujanovic, Dept. of Mathematics, University of Zagreb, Croatia. 

References:

LAPACK Working Note 176

Definition at line 151 of file claqp2.f.  

Author

Generated automatically by Doxygen for LAPACK from the source code.


 

Index

NAME
SYNOPSIS
Functions/Subroutines
Function/Subroutine Documentation
subroutine claqp2 (integer M, integer N, integer OFFSET, complex, dimension( lda, * ) A, integer LDA, integer, dimension( * ) JPVT, complex, dimension( * ) TAU, real, dimension( * ) VN1, real, dimension( * ) VN2, complex, dimension( * ) WORK)
Author