.TH "dorgr2.f" 3 "Wed Oct 15 2014" "Version 3.4.2" "LAPACK" \" -*- nroff -*- .ad l .nh .SH NAME dorgr2.f \- .SH SYNOPSIS .br .PP .SS "Functions/Subroutines" .in +1c .ti -1c .RI "subroutine \fBdorgr2\fP (M, N, K, A, LDA, TAU, WORK, INFO)" .br .RI "\fI\fBDORGR2\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 dorgr2 (integerM, integerN, integerK, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( * )TAU, double precision, dimension( * )WORK, integerINFO)" .PP \fBDORGR2\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 DORGR2 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 DGERQF. .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 DOUBLE PRECISION 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 DGERQF 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 DOUBLE PRECISION array, dimension (K) TAU(i) must contain the scalar factor of the elementary reflector H(i), as returned by DGERQF. .fi .PP .br \fIWORK\fP .PP .nf WORK is DOUBLE PRECISION 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 dorgr2\&.f\&. .SH "Author" .PP Generated automatically by Doxygen for LAPACK from the source code\&.