CGEEQU (3)  Linux Man Pages
NAME
cgeequ.f 
SYNOPSIS
Functions/Subroutines
subroutine cgeequ (M, N, A, LDA, R, C, ROWCND, COLCND, AMAX, INFO)
CGEEQU
Function/Subroutine Documentation
subroutine cgeequ (integerM, integerN, complex, dimension( lda, * )A, integerLDA, real, dimension( * )R, real, dimension( * )C, realROWCND, realCOLCND, realAMAX, integerINFO)
CGEEQU
Purpose:

CGEEQU computes row and column scalings intended to equilibrate an MbyN matrix A and reduce its condition number. R returns the row scale factors and C the column scale factors, chosen to try to make the largest element in each row and column of the matrix B with elements B(i,j)=R(i)*A(i,j)*C(j) have absolute value 1. R(i) and C(j) are restricted to be between SMLNUM = smallest safe number and BIGNUM = largest safe number. Use of these scaling factors is not guaranteed to reduce the condition number of A but works well in practice.
Parameters:

M
M is INTEGER The number of rows of the matrix A. M >= 0.
NN is INTEGER The number of columns of the matrix A. N >= 0.
AA is COMPLEX array, dimension (LDA,N) The MbyN matrix whose equilibration factors are to be computed.
LDALDA is INTEGER The leading dimension of the array A. LDA >= max(1,M).
RR is REAL array, dimension (M) If INFO = 0 or INFO > M, R contains the row scale factors for A.
CC is REAL array, dimension (N) If INFO = 0, C contains the column scale factors for A.
ROWCNDROWCND is REAL If INFO = 0 or INFO > M, ROWCND contains the ratio of the smallest R(i) to the largest R(i). If ROWCND >= 0.1 and AMAX is neither too large nor too small, it is not worth scaling by R.
COLCNDCOLCND is REAL If INFO = 0, COLCND contains the ratio of the smallest C(i) to the largest C(i). If COLCND >= 0.1, it is not worth scaling by C.
AMAXAMAX is REAL Absolute value of largest matrix element. If AMAX is very close to overflow or very close to underflow, the matrix should be scaled.
INFOINFO is INTEGER = 0: successful exit < 0: if INFO = i, the ith argument had an illegal value > 0: if INFO = i, and i is <= M: the ith row of A is exactly zero > M: the (iM)th column of A is exactly zero
Author:

Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Date:
 November 2011
Definition at line 140 of file cgeequ.f.
Author
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