 LAPACK 3.11.0 LAPACK: Linear Algebra PACKage
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## ◆ zget10()

 subroutine zget10 ( integer M, integer N, complex*16, dimension( lda, * ) A, integer LDA, complex*16, dimension( ldb, * ) B, integer LDB, complex*16, dimension( * ) WORK, double precision, dimension( * ) RWORK, double precision RESULT )

ZGET10

Purpose:
``` ZGET10 compares two matrices A and B and computes the ratio
RESULT = norm( A - B ) / ( norm(A) * M * EPS )```
Parameters
 [in] M ``` M is INTEGER The number of rows of the matrices A and B.``` [in] N ``` N is INTEGER The number of columns of the matrices A and B.``` [in] A ``` A is COMPLEX*16 array, dimension (LDA,N) The m by n matrix A.``` [in] LDA ``` LDA is INTEGER The leading dimension of the array A. LDA >= max(1,M).``` [in] B ``` B is COMPLEX*16 array, dimension (LDB,N) The m by n matrix B.``` [in] LDB ``` LDB is INTEGER The leading dimension of the array B. LDB >= max(1,M).``` [out] WORK ` WORK is COMPLEX*16 array, dimension (M)` [out] RWORK ` RWORK is COMPLEX*16 array, dimension (M)` [out] RESULT ``` RESULT is DOUBLE PRECISION RESULT = norm( A - B ) / ( norm(A) * M * EPS )```

Definition at line 98 of file zget10.f.

99*
100* -- LAPACK test routine --
101* -- LAPACK is a software package provided by Univ. of Tennessee, --
102* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
103*
104* .. Scalar Arguments ..
105 INTEGER LDA, LDB, M, N
106 DOUBLE PRECISION RESULT
107* ..
108* .. Array Arguments ..
109 DOUBLE PRECISION RWORK( * )
110 COMPLEX*16 A( LDA, * ), B( LDB, * ), WORK( * )
111* ..
112*
113* =====================================================================
114*
115* .. Parameters ..
116 DOUBLE PRECISION ONE, ZERO
117 parameter( one = 1.0d+0, zero = 0.0d+0 )
118* ..
119* .. Local Scalars ..
120 INTEGER J
121 DOUBLE PRECISION ANORM, EPS, UNFL, WNORM
122* ..
123* .. External Functions ..
124 DOUBLE PRECISION DLAMCH, DZASUM, ZLANGE
125 EXTERNAL dlamch, dzasum, zlange
126* ..
127* .. External Subroutines ..
128 EXTERNAL zaxpy, zcopy
129* ..
130* .. Intrinsic Functions ..
131 INTRINSIC dble, dcmplx, max, min
132* ..
133* .. Executable Statements ..
134*
135* Quick return if possible
136*
137 IF( m.LE.0 .OR. n.LE.0 ) THEN
138 result = zero
139 RETURN
140 END IF
141*
142 unfl = dlamch( 'Safe minimum' )
143 eps = dlamch( 'Precision' )
144*
145 wnorm = zero
146 DO 10 j = 1, n
147 CALL zcopy( m, a( 1, j ), 1, work, 1 )
148 CALL zaxpy( m, dcmplx( -one ), b( 1, j ), 1, work, 1 )
149 wnorm = max( wnorm, dzasum( n, work, 1 ) )
150 10 CONTINUE
151*
152 anorm = max( zlange( '1', m, n, a, lda, rwork ), unfl )
153*
154 IF( anorm.GT.wnorm ) THEN
155 result = ( wnorm / anorm ) / ( m*eps )
156 ELSE
157 IF( anorm.LT.one ) THEN
158 result = ( min( wnorm, m*anorm ) / anorm ) / ( m*eps )
159 ELSE
160 result = min( wnorm / anorm, dble( m ) ) / ( m*eps )
161 END IF
162 END IF
163*
164 RETURN
165*
166* End of ZGET10
167*
double precision function dlamch(CMACH)
DLAMCH
Definition: dlamch.f:69
subroutine zaxpy(N, ZA, ZX, INCX, ZY, INCY)
ZAXPY
Definition: zaxpy.f:88
subroutine zcopy(N, ZX, INCX, ZY, INCY)
ZCOPY
Definition: zcopy.f:81
double precision function zlange(NORM, M, N, A, LDA, WORK)
ZLANGE returns the value of the 1-norm, Frobenius norm, infinity-norm, or the largest absolute value ...
Definition: zlange.f:115
double precision function dzasum(N, ZX, INCX)
DZASUM
Definition: dzasum.f:72
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