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/home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/LIN/cunhr_col02.f(3) Library Functions Manual /home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/LIN/cunhr_col02.f(3)

NAME

/home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/LIN/cunhr_col02.f

SYNOPSIS

Functions/Subroutines


subroutine CUNHR_COL02 (m, n, mb1, nb1, nb2, result)
CUNHR_COL02

Function/Subroutine Documentation

subroutine CUNHR_COL02 (integer m, integer n, integer mb1, integer nb1, integer nb2, real, dimension(6) result)

CUNHR_COL02

Purpose:

!>
!> CUNHR_COL02 tests CUNGTSQR_ROW and CUNHR_COL inside CGETSQRHRT
!> (which calls CLATSQR, CUNGTSQR_ROW and CUNHR_COL) using CGEMQRT.
!> Therefore, CLATSQR (part of CGEQR), CGEMQRT (part of CGEMQR)
!> 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 unitary Q matrix, the result
!>            of factorization in blocked WY-representation,
!>            stored in CGEQRT 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 CGEMQRT,
!>
!>            Q * C, (Q**H) * C, D * Q, D * (Q**H)  are
!>            computed using CGEMM.
!> 

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Definition at line 119 of file cunhr_col02.f.

Author

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Version 3.12.0 LAPACK