table of contents
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/LIN/sorhr_col01.f(3) | Library Functions Manual | /home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/LIN/sorhr_col01.f(3) |
NAME¶
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/LIN/sorhr_col01.f
SYNOPSIS¶
Functions/Subroutines¶
subroutine SORHR_COL01 (m, n, mb1, nb1, nb2, result)
SORHR_COL01
Function/Subroutine Documentation¶
subroutine SORHR_COL01 (integer m, integer n, integer mb1, integer nb1, integer nb2, real, dimension(6) result)¶
SORHR_COL01
Purpose:
!> !> SORHR_COL01 tests SORGTSQR and SORHR_COL using SLATSQR, 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 118 of file sorhr_col01.f.
Author¶
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