.TH "sorgr2.f" 3 "Wed Oct 15 2014" "Version 3.4.2" "LAPACK" \" -*- nroff -*- .ad l .nh .SH NAME sorgr2.f \- .SH SYNOPSIS .br .PP .SS "Functions/Subroutines" .in +1c .ti -1c .RI "subroutine \fBsorgr2\fP (M, N, K, A, LDA, TAU, WORK, INFO)" .br .RI "\fI\fBSORGR2\fP generates all or part of the orthogonal matrix Q from an RQ factorization determined by sgerqf (unblocked algorithm)\&. \fP" .in -1c .SH "Function/Subroutine Documentation" .PP .SS "subroutine sorgr2 (integerM, integerN, integerK, real, dimension( lda, * )A, integerLDA, real, dimension( * )TAU, real, dimension( * )WORK, integerINFO)" .PP \fBSORGR2\fP generates all or part of the orthogonal matrix Q from an RQ factorization determined by sgerqf (unblocked algorithm)\&. .PP \fBPurpose: \fP .RS 4 .PP .nf SORGR2 generates an m by n real matrix Q with orthonormal rows, which is defined as the last m rows of a product of k elementary reflectors of order n Q = H(1) H(2) . . . H(k) as returned by SGERQF. .fi .PP .RE .PP \fBParameters:\fP .RS 4 \fIM\fP .PP .nf M is INTEGER The number of rows of the matrix Q. M >= 0. .fi .PP .br \fIN\fP .PP .nf N is INTEGER The number of columns of the matrix Q. N >= M. .fi .PP .br \fIK\fP .PP .nf K is INTEGER The number of elementary reflectors whose product defines the matrix Q. M >= K >= 0. .fi .PP .br \fIA\fP .PP .nf A is REAL array, dimension (LDA,N) On entry, the (m-k+i)-th row must contain the vector which defines the elementary reflector H(i), for i = 1,2,...,k, as returned by SGERQF in the last k rows of its array argument A. On exit, the m by n matrix Q. .fi .PP .br \fILDA\fP .PP .nf LDA is INTEGER The first dimension of the array A. LDA >= max(1,M). .fi .PP .br \fITAU\fP .PP .nf TAU is REAL array, dimension (K) TAU(i) must contain the scalar factor of the elementary reflector H(i), as returned by SGERQF. .fi .PP .br \fIWORK\fP .PP .nf WORK is REAL array, dimension (M) .fi .PP .br \fIINFO\fP .PP .nf INFO is INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument has an illegal value .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 .PP Definition at line 115 of file sorgr2\&.f\&. .SH "Author" .PP Generated automatically by Doxygen for LAPACK from the source code\&.