.TH "TESTING/MATGEN/clatm6.f" 3 "Version 3.12.0" "LAPACK" \" -*- nroff -*-
.ad l
.nh
.SH NAME
TESTING/MATGEN/clatm6.f
.SH SYNOPSIS
.br
.PP
.SS "Functions/Subroutines"

.in +1c
.ti -1c
.RI "subroutine \fBclatm6\fP (type, n, a, lda, b, x, ldx, y, ldy, alpha, beta, wx, wy, s, dif)"
.br
.RI "\fBCLATM6\fP "
.in -1c
.SH "Function/Subroutine Documentation"
.PP 
.SS "subroutine clatm6 (integer type, integer n, complex, dimension( lda, * ) a, integer lda, complex, dimension( lda, * ) b, complex, dimension( ldx, * ) x, integer ldx, complex, dimension( ldy, * ) y, integer ldy, complex alpha, complex beta, complex wx, complex wy, real, dimension( * ) s, real, dimension( * ) dif)"

.PP
\fBCLATM6\fP 
.PP
\fBPurpose:\fP
.RS 4

.PP
.nf
 CLATM6 generates test matrices for the generalized eigenvalue
 problem, their corresponding right and left eigenvector matrices,
 and also reciprocal condition numbers for all eigenvalues and
 the reciprocal condition numbers of eigenvectors corresponding to
 the 1th and 5th eigenvalues\&.

 Test Matrices
 =============

 Two kinds of test matrix pairs
          (A, B) = inverse(YH) * (Da, Db) * inverse(X)
 are used in the tests:

 Type 1:
    Da = 1+a   0    0    0    0    Db = 1   0   0   0   0
          0   2+a   0    0    0         0   1   0   0   0
          0    0   3+a   0    0         0   0   1   0   0
          0    0    0   4+a   0         0   0   0   1   0
          0    0    0    0   5+a ,      0   0   0   0   1
 and Type 2:
    Da = 1+i   0    0       0       0    Db = 1   0   0   0   0
          0   1-i   0       0       0         0   1   0   0   0
          0    0    1       0       0         0   0   1   0   0
          0    0    0 (1+a)+(1+b)i  0         0   0   0   1   0
          0    0    0       0 (1+a)-(1+b)i,   0   0   0   0   1 \&.

 In both cases the same inverse(YH) and inverse(X) are used to compute
 (A, B), giving the exact eigenvectors to (A,B) as (YH, X):

 YH:  =  1    0   -y    y   -y    X =  1   0  -x  -x   x
         0    1   -y    y   -y         0   1   x  -x  -x
         0    0    1    0    0         0   0   1   0   0
         0    0    0    1    0         0   0   0   1   0
         0    0    0    0    1,        0   0   0   0   1 , where

 a, b, x and y will have all values independently of each other\&.
.fi
.PP
 
.RE
.PP
\fBParameters\fP
.RS 4
\fITYPE\fP 
.PP
.nf
          TYPE is INTEGER
          Specifies the problem type (see further details)\&.
.fi
.PP
.br
\fIN\fP 
.PP
.nf
          N is INTEGER
          Size of the matrices A and B\&.
.fi
.PP
.br
\fIA\fP 
.PP
.nf
          A is COMPLEX array, dimension (LDA, N)\&.
          On exit A N-by-N is initialized according to TYPE\&.
.fi
.PP
.br
\fILDA\fP 
.PP
.nf
          LDA is INTEGER
          The leading dimension of A and of B\&.
.fi
.PP
.br
\fIB\fP 
.PP
.nf
          B is COMPLEX array, dimension (LDA, N)\&.
          On exit B N-by-N is initialized according to TYPE\&.
.fi
.PP
.br
\fIX\fP 
.PP
.nf
          X is COMPLEX array, dimension (LDX, N)\&.
          On exit X is the N-by-N matrix of right eigenvectors\&.
.fi
.PP
.br
\fILDX\fP 
.PP
.nf
          LDX is INTEGER
          The leading dimension of X\&.
.fi
.PP
.br
\fIY\fP 
.PP
.nf
          Y is COMPLEX array, dimension (LDY, N)\&.
          On exit Y is the N-by-N matrix of left eigenvectors\&.
.fi
.PP
.br
\fILDY\fP 
.PP
.nf
          LDY is INTEGER
          The leading dimension of Y\&.
.fi
.PP
.br
\fIALPHA\fP 
.PP
.nf
          ALPHA is COMPLEX
.fi
.PP
.br
\fIBETA\fP 
.PP
.nf
          BETA is COMPLEX

          Weighting constants for matrix A\&.
.fi
.PP
.br
\fIWX\fP 
.PP
.nf
          WX is COMPLEX
          Constant for right eigenvector matrix\&.
.fi
.PP
.br
\fIWY\fP 
.PP
.nf
          WY is COMPLEX
          Constant for left eigenvector matrix\&.
.fi
.PP
.br
\fIS\fP 
.PP
.nf
          S is REAL array, dimension (N)
          S(i) is the reciprocal condition number for eigenvalue i\&.
.fi
.PP
.br
\fIDIF\fP 
.PP
.nf
          DIF is REAL array, dimension (N)
          DIF(i) is the reciprocal condition number for eigenvector i\&.
.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 \fB172\fP of file \fBclatm6\&.f\fP\&.
.SH "Author"
.PP 
Generated automatically by Doxygen for LAPACK from the source code\&.