.TH "SRC/dorgr2.f" 3 "Version 3.12.0" "LAPACK" \" -*- nroff -*- .ad l .nh .SH NAME SRC/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 "\fBDORGR2\fP generates all or part of the orthogonal matrix Q from an RQ factorization determined by sgerqf (unblocked algorithm)\&. " .in -1c .SH "Function/Subroutine Documentation" .PP .SS "subroutine dorgr2 (integer m, integer n, integer k, double precision, dimension( lda, * ) a, integer lda, double precision, dimension( * ) tau, double precision, dimension( * ) work, integer info)" .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 .PP Definition at line \fB113\fP of file \fBdorgr2\&.f\fP\&. .SH "Author" .PP Generated automatically by Doxygen for LAPACK from the source code\&.