TESTING/LIN/sorhr_col02.f(3) | Library Functions Manual | TESTING/LIN/sorhr_col02.f(3) |
NAME
TESTING/LIN/sorhr_col02.f
SYNOPSIS
Functions/Subroutines
subroutine sorhr_col02 (m, n, mb1, nb1, nb2, result)
SORHR_COL02
Function/Subroutine Documentation
subroutine sorhr_col02 (integer m, integer n, integer mb1, integer nb1, integer nb2, real, dimension(6) result)
SORHR_COL02
Purpose:
SORHR_COL02 tests SORGTSQR_ROW and SORHR_COL inside SGETSQRHRT (which calls SLATSQR, SORGTSQR_ROW and SORHR_COL) using SGEMQRT. Therefore, SLATSQR (part of SGEQR), SGEMQRT (part of SGEMQR) have to be tested before this test.
Parameters
M
M is INTEGER Number of rows in test matrix.
N
N is INTEGER Number of columns in test matrix.
MB1
MB1 is INTEGER Number of row in row block in an input test matrix.
NB1
NB1 is INTEGER Number of columns in column block an input test matrix.
NB2
NB2 is INTEGER Number of columns in column block in an output test matrix.
RESULT
RESULT is REAL array, dimension (6) Results of each of the six tests below. A is a m-by-n test input matrix to be factored. so that A = Q_gr * ( R ) ( 0 ), Q_qr is an implicit m-by-m orthogonal Q matrix, the result of factorization in blocked WY-representation, stored in SGEQRT output format. R is a n-by-n upper-triangular matrix, 0 is a (m-n)-by-n zero matrix, Q is an explicit m-by-m orthogonal matrix Q = Q_gr * I C is an m-by-n random matrix, D is an n-by-m random matrix. The six tests are: RESULT(1) = |R - (Q**H) * A| / ( eps * m * |A| ) is equivalent to test for | A - Q * R | / (eps * m * |A|), RESULT(2) = |I - (Q**H) * Q| / ( eps * m ), RESULT(3) = | Q_qr * C - Q * C | / (eps * m * |C|), RESULT(4) = | (Q_gr**H) * C - (Q**H) * C | / (eps * m * |C|) RESULT(5) = | D * Q_qr - D * Q | / (eps * m * |D|) RESULT(6) = | D * (Q_qr**H) - D * (Q**H) | / (eps * m * |D|), where: Q_qr * C, (Q_gr**H) * C, D * Q_qr, D * (Q_qr**H) are computed using SGEMQRT, Q * C, (Q**H) * C, D * Q, D * (Q**H) are computed using SGEMM.
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Definition at line 119 of file sorhr_col02.f.
Author
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