.TH "TESTING/LIN/dgerqs.f" 3 "Version 3.12.0" "LAPACK" \" -*- nroff -*- .ad l .nh .SH NAME TESTING/LIN/dgerqs.f .SH SYNOPSIS .br .PP .SS "Functions/Subroutines" .in +1c .ti -1c .RI "subroutine \fBdgerqs\fP (m, n, nrhs, a, lda, tau, b, ldb, work, lwork, info)" .br .RI "\fBDGERQS\fP " .in -1c .SH "Function/Subroutine Documentation" .PP .SS "subroutine dgerqs (integer m, integer n, integer nrhs, double precision, dimension( lda, * ) a, integer lda, double precision, dimension( * ) tau, double precision, dimension( ldb, * ) b, integer ldb, double precision, dimension( lwork ) work, integer lwork, integer info)" .PP \fBDGERQS\fP .PP \fBPurpose:\fP .RS 4 .PP .nf Compute a minimum-norm solution min || A*X - B || using the RQ factorization A = R*Q computed by DGERQF\&. .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 >= M >= 0\&. .fi .PP .br \fINRHS\fP .PP .nf NRHS is INTEGER The number of columns of B\&. NRHS >= 0\&. .fi .PP .br \fIA\fP .PP .nf A is DOUBLE PRECISION array, dimension (LDA,N) Details of the RQ factorization of the original matrix A as returned by DGERQF\&. .fi .PP .br \fILDA\fP .PP .nf LDA is INTEGER The leading dimension of the array A\&. LDA >= M\&. .fi .PP .br \fITAU\fP .PP .nf TAU is DOUBLE PRECISION array, dimension (M) Details of the orthogonal matrix Q\&. .fi .PP .br \fIB\fP .PP .nf B is DOUBLE PRECISION array, dimension (LDB,NRHS) On entry, the right hand side vectors for the linear system\&. On exit, the solution vectors X\&. Each solution vector is contained in rows 1:N of a column of B\&. .fi .PP .br \fILDB\fP .PP .nf LDB is INTEGER The leading dimension of the array B\&. LDB >= max(1,N)\&. .fi .PP .br \fIWORK\fP .PP .nf WORK is DOUBLE PRECISION array, dimension (LWORK) .fi .PP .br \fILWORK\fP .PP .nf LWORK is INTEGER The length of the array WORK\&. LWORK must be at least NRHS, and should be at least NRHS*NB, where NB is the block size for this environment\&. .fi .PP .br \fIINFO\fP .PP .nf INFO is INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had 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 \fB120\fP of file \fBdgerqs\&.f\fP\&. .SH "Author" .PP Generated automatically by Doxygen for LAPACK from the source code\&.