LAPACK
3.6.1
LAPACK: Linear Algebra PACKage
|
subroutine sgrqts | ( | integer | M, |
integer | P, | ||
integer | N, | ||
real, dimension( lda, * ) | A, | ||
real, dimension( lda, * ) | AF, | ||
real, dimension( lda, * ) | Q, | ||
real, dimension( lda, * ) | R, | ||
integer | LDA, | ||
real, dimension( * ) | TAUA, | ||
real, dimension( ldb, * ) | B, | ||
real, dimension( ldb, * ) | BF, | ||
real, dimension( ldb, * ) | Z, | ||
real, dimension( ldb, * ) | T, | ||
real, dimension( ldb, * ) | BWK, | ||
integer | LDB, | ||
real, dimension( * ) | TAUB, | ||
real, dimension( lwork ) | WORK, | ||
integer | LWORK, | ||
real, dimension( * ) | RWORK, | ||
real, dimension( 4 ) | RESULT | ||
) |
SGRQTS
SGRQTS tests SGGRQF, which computes the GRQ factorization of an M-by-N matrix A and a P-by-N matrix B: A = R*Q and B = Z*T*Q.
[in] | M | M is INTEGER The number of rows of the matrix A. M >= 0. |
[in] | P | P is INTEGER The number of rows of the matrix B. P >= 0. |
[in] | N | N is INTEGER The number of columns of the matrices A and B. N >= 0. |
[in] | A | A is REAL array, dimension (LDA,N) The M-by-N matrix A. |
[out] | AF | AF is REAL array, dimension (LDA,N) Details of the GRQ factorization of A and B, as returned by SGGRQF, see SGGRQF for further details. |
[out] | Q | Q is REAL array, dimension (LDA,N) The N-by-N orthogonal matrix Q. |
[out] | R | R is REAL array, dimension (LDA,MAX(M,N)) |
[in] | LDA | LDA is INTEGER The leading dimension of the arrays A, AF, R and Q. LDA >= max(M,N). |
[out] | TAUA | TAUA is REAL array, dimension (min(M,N)) The scalar factors of the elementary reflectors, as returned by SGGQRC. |
[in] | B | B is REAL array, dimension (LDB,N) On entry, the P-by-N matrix A. |
[out] | BF | BF is REAL array, dimension (LDB,N) Details of the GQR factorization of A and B, as returned by SGGRQF, see SGGRQF for further details. |
[out] | Z | Z is REAL array, dimension (LDB,P) The P-by-P orthogonal matrix Z. |
[out] | T | T is REAL array, dimension (LDB,max(P,N)) |
[out] | BWK | BWK is REAL array, dimension (LDB,N) |
[in] | LDB | LDB is INTEGER The leading dimension of the arrays B, BF, Z and T. LDB >= max(P,N). |
[out] | TAUB | TAUB is REAL array, dimension (min(P,N)) The scalar factors of the elementary reflectors, as returned by SGGRQF. |
[out] | WORK | WORK is REAL array, dimension (LWORK) |
[in] | LWORK | LWORK is INTEGER The dimension of the array WORK, LWORK >= max(M,P,N)**2. |
[out] | RWORK | RWORK is REAL array, dimension (M) |
[out] | RESULT | RESULT is REAL array, dimension (4) The test ratios: RESULT(1) = norm( R - A*Q' ) / ( MAX(M,N)*norm(A)*ULP) RESULT(2) = norm( T*Q - Z'*B ) / (MAX(P,N)*norm(B)*ULP) RESULT(3) = norm( I - Q'*Q ) / ( N*ULP ) RESULT(4) = norm( I - Z'*Z ) / ( P*ULP ) |
Definition at line 179 of file sgrqts.f.