Numerical analysis of simultaneous nonlinear algebraic equations

Author

Sato, Chikara

Author_Institution

Fac. of Sci. & Eng., Keio Univ., Yokohama, Japan

fYear

1988

fDate

7-9 Jun 1988

Firstpage

1221

Abstract

J.B. Moore´s (J. Assoc. Comp. Math., vol.14, p.311-5, 1976) method of solving a single-variable algebraic equation is generalized to a method for multivariable simultaneous algebraic equations. The proposed method makes use of an objective function similar to the Lyapunov function, but it has multiple-zero points corresponding to the solution of the original algebraic equation. Using the proposed method, all solutions of a simultaneous nonlinear algebraic equation with complex coefficients are obtained for both real and complex roots

Keywords

nonlinear equations; numerical analysis; complex coefficients; complex roots; multiple-zero points; multivariable simultaneous algebraic equations; nonlinear algebraic equations; numerical analysis; objective function; real roots; Newton method; Nonlinear circuits; Nonlinear equations; Numerical analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 1988., IEEE International Symposium on

Conference_Location

Espoo

Type

conf

DOI

10.1109/ISCAS.1988.15147

Filename

15147

Link To Document

https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2117224