Imperfect singular solutions of nonlinear equations and a numerical method of proving their existence

IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

Volumn E82-A, Issue 6, 1999, Pages 1062-1069

  Kanzawa, Yuchi ^a   Oishi, Shin'Ichi ^a  

^a WASEDA UNIVERSITY   (Japan)

Author keywords

Imperfect singular solutions extended systems; Krawczyk based interval validation method; Numerical computation with guaranteed accuracy

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; NUMERICAL METHODS; PERTURBATION TECHNIQUES; PROBLEM SOLVING;

EXTENDED SYSTEMS; IMPERFECT SINGULAR SOLUTIONS; KRAWCZYK-BASED INTERVAL VALIDATION METHOD;

NONLINEAR EQUATIONS;

EID: 0032684913     PISSN: 09168508     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (3)

1. H. Werber and W. Werner, On the accurate determination of nonisolated solutions of nonlinear equations, Computing, vol.26, pp.315-326, 1981.
2. N. Yamamoto, Regularization of solutions of nonlinear equations with singular jacobian matrices, Journal of Information Processing, vol.17, no.1, pp.16-21, 1984.
3. M. Kashiwagi and S. Oishi, A numerical validating method of approximate solution of nonlinear equations using interval analysis and rational arithmetic, IEICE Trans., vol.J77-A, no.10, pp.1372-1382, Oct. 1994.