TESTING/LIN/zunhr_col01.f(3) | Library Functions Manual | TESTING/LIN/zunhr_col01.f(3) |
NAME
TESTING/LIN/zunhr_col01.f
SYNOPSIS
Functions/Subroutines
subroutine zunhr_col01 (m, n, mb1, nb1, nb2, result)
ZUNHR_COL01
Function/Subroutine Documentation
subroutine zunhr_col01 (integer m, integer n, integer mb1, integer nb1, integer nb2, double precision, dimension(6) result)
ZUNHR_COL01
Purpose:
ZUNHR_COL01 tests ZUNGTSQR and ZUNHR_COL using ZLATSQR, ZGEMQRT. Therefore, ZLATSQR (part of ZGEQR), ZGEMQRT (part of ZGEMQR) 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 DOUBLE PRECISION 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 unitary Q matrix, the result of factorization in blocked WY-representation, stored in ZGEQRT 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 unitary 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 ZGEMQRT, Q * C, (Q**H) * C, D * Q, D * (Q**H) are computed using ZGEMM.
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Definition at line 118 of file zunhr_col01.f.
Author
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