.TH "TESTING/LIN/dorhr_col01.f" 3 "Version 3.12.0" "LAPACK" \" -*- nroff -*-
.ad l
.nh
.SH NAME
TESTING/LIN/dorhr_col01.f
.SH SYNOPSIS
.br
.PP
.SS "Functions/Subroutines"

.in +1c
.ti -1c
.RI "subroutine \fBdorhr_col01\fP (m, n, mb1, nb1, nb2, result)"
.br
.RI "\fBDORHR_COL01\fP "
.in -1c
.SH "Function/Subroutine Documentation"
.PP 
.SS "subroutine dorhr_col01 (integer m, integer n, integer mb1, integer nb1, integer nb2, double precision, dimension(6) result)"

.PP
\fBDORHR_COL01\fP 
.PP
\fBPurpose:\fP
.RS 4

.PP
.nf
!>
!> DORHR_COL01 tests DORGTSQR and DORHR_COL using DLATSQR, DGEMQRT\&.
!> Therefore, DLATSQR (part of DGEQR), DGEMQRT (part of DGEMQR)
!> have to be tested before this test\&.
!>
!> 
.fi
.PP
 
.RE
.PP
\fBParameters\fP
.RS 4
\fIM\fP 
.PP
.nf
!>          M is INTEGER
!>          Number of rows in test matrix\&.
!> 
.fi
.PP
 
.br
\fIN\fP 
.PP
.nf
!>          N is INTEGER
!>          Number of columns in test matrix\&.
!> 
.fi
.PP
 
.br
\fIMB1\fP 
.PP
.nf
!>          MB1 is INTEGER
!>          Number of row in row block in an input test matrix\&.
!> 
.fi
.PP
.br
\fINB1\fP 
.PP
.nf
!>          NB1 is INTEGER
!>          Number of columns in column block an input test matrix\&.
!> 
.fi
.PP
.br
\fINB2\fP 
.PP
.nf
!>          NB2 is INTEGER
!>          Number of columns in column block in an output test matrix\&.
!> 
.fi
.PP
.br
\fIRESULT\fP 
.PP
.nf
!>          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 orthogonal 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 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 DGEMQRT,
!>
!>            Q * C, (Q**H) * C, D * Q, D * (Q**H)  are
!>            computed using DGEMM\&.
!> 
.fi
.PP
 
.RE
.PP
\fBAuthor\fP
.RS 4
Univ\&. of Tennessee 

.PP
Univ\&. of California Berkeley 

.PP
Univ\&. of Colorado Denver 

.PP
NAG Ltd\&. 
.RE
.PP

.PP
Definition at line \fB118\fP of file \fBdorhr_col01\&.f\fP\&.
.SH "Author"
.PP 
Generated automatically by Doxygen for LAPACK from the source code\&.