A REGULARIZATION PROCEDURE FOR SIGMA(N)(I=1)F(I)(Z(J))X(I)=G(Z(J)), (J=1,2, N)

Authors
IXARU LG DEMEYER H VANDENBERGHE G VANDAELE M
Citation
Lg. Ixaru et al., A REGULARIZATION PROCEDURE FOR SIGMA(N)(I=1)F(I)(Z(J))X(I)=G(Z(J)), (J=1,2, N), Numerical linear algebra with applications, 3(1), 1996, pp. 81-90
Citations number
18
Categorie Soggetti
Mathematics, General",Mathematics,Mathematics
Journal title
Numerical linear algebra with applications → ACNP
ISSN journal
10705325
Volume
3
Issue
1
Year of publication
1996
Pages
81 - 90
Database
ISI
SICI code
1070-5325(1996)3:1<81:ARPFS(>2.0.ZU;2-5
Abstract
A regularization procedure for linear systems of the type Sigma(i=1)(n ) f(i)(z(j))x(i)=g(z(j)), j=1, 2,...,n is presented, which is particul arly useful in the case when z(1), z(2),...,z(n) are close to each oth er. The associated numerical algorithm was tested on several examples for which analytic solutions do exist and was found to yield highly ac curate results.