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TESTING/LIN/sgerqs.f(3) LAPACK TESTING/LIN/sgerqs.f(3)

TESTING/LIN/sgerqs.f


subroutine sgerqs (m, n, nrhs, a, lda, tau, b, ldb, work, lwork, info)
SGERQS

SGERQS

Purpose:


Compute a minimum-norm solution
min || A*X - B ||
using the RQ factorization
A = R*Q
computed by SGERQF.

Parameters

M


M is INTEGER
The number of rows of the matrix A. M >= 0.

N


N is INTEGER
The number of columns of the matrix A. N >= M >= 0.

NRHS


NRHS is INTEGER
The number of columns of B. NRHS >= 0.

A


A is REAL array, dimension (LDA,N)
Details of the RQ factorization of the original matrix A as
returned by SGERQF.

LDA


LDA is INTEGER
The leading dimension of the array A. LDA >= M.

TAU


TAU is REAL array, dimension (M)
Details of the orthogonal matrix Q.

B


B is REAL 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.

LDB


LDB is INTEGER
The leading dimension of the array B. LDB >= max(1,N).

WORK


WORK is REAL array, dimension (LWORK)

LWORK


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.

INFO


INFO is INTEGER
= 0: successful exit
< 0: if INFO = -i, the i-th argument had an illegal value

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Definition at line 120 of file sgerqs.f.

Generated automatically by Doxygen for LAPACK from the source code.

Sun Jan 12 2025 15:13:35 Version 3.12.1

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