.TH "claqp2.f" 3 "Wed Oct 15 2014" "Version 3.4.2" "LAPACK" \" -*- nroff -*- .ad l .nh .SH NAME claqp2.f \- .SH SYNOPSIS .br .PP .SS "Functions/Subroutines" .in +1c .ti -1c .RI "subroutine \fBclaqp2\fP (M, N, OFFSET, A, LDA, JPVT, TAU, VN1, VN2, WORK)" .br .RI "\fI\fBCLAQP2\fP computes a QR factorization with column pivoting of the matrix block\&. \fP" .in -1c .SH "Function/Subroutine Documentation" .PP .SS "subroutine claqp2 (integerM, integerN, integerOFFSET, complex, dimension( lda, * )A, integerLDA, integer, dimension( * )JPVT, complex, dimension( * )TAU, real, dimension( * )VN1, real, dimension( * )VN2, complex, dimension( * )WORK)" .PP \fBCLAQP2\fP computes a QR factorization with column pivoting of the matrix block\&. .PP \fBPurpose: \fP .RS 4 .PP .nf 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. .fi .PP .RE .PP \fBParameters:\fP .RS 4 \fIM\fP .PP .nf M is INTEGER The number of rows of the matrix A. M >= 0. .fi .PP .br \fIN\fP .PP .nf N is INTEGER The number of columns of the matrix A. N >= 0. .fi .PP .br \fIOFFSET\fP .PP .nf OFFSET is INTEGER The number of rows of the matrix A that must be pivoted but no factorized. OFFSET >= 0. .fi .PP .br \fIA\fP .PP .nf 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. .fi .PP .br \fILDA\fP .PP .nf LDA is INTEGER The leading dimension of the array A. LDA >= max(1,M). .fi .PP .br \fIJPVT\fP .PP .nf 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. .fi .PP .br \fITAU\fP .PP .nf TAU is COMPLEX array, dimension (min(M,N)) The scalar factors of the elementary reflectors. .fi .PP .br \fIVN1\fP .PP .nf VN1 is REAL array, dimension (N) The vector with the partial column norms. .fi .PP .br \fIVN2\fP .PP .nf VN2 is REAL array, dimension (N) The vector with the exact column norms. .fi .PP .br \fIWORK\fP .PP .nf WORK is COMPLEX array, dimension (N) .fi .PP .RE .PP \fBAuthor:\fP .RS 4 Univ\&. of Tennessee .PP Univ\&. of California Berkeley .PP Univ\&. of Colorado Denver .PP NAG Ltd\&. .RE .PP \fBDate:\fP .RS 4 September 2012 .RE .PP \fBContributors: \fP .RS 4 G\&. Quintana-Orti, Depto\&. de Informatica, Universidad Jaime I, Spain X\&. Sun, Computer Science Dept\&., Duke University, USA .br Partial column norm updating strategy modified on April 2011 Z\&. Drmac and Z\&. Bujanovic, Dept\&. of Mathematics, University of Zagreb, Croatia\&. .RE .PP \fBReferences: \fP .RS 4 LAPACK Working Note 176 .RE .PP .PP Definition at line 149 of file claqp2\&.f\&. .SH "Author" .PP Generated automatically by Doxygen for LAPACK from the source code\&.