A quasi-Newton method for solving nonlinear algebraic equations

S. Kim; R. P. Tewarson

doi:10.1016/0898-1221(92)90011-6

A quasi-Newton method for solving nonlinear algebraic equations

S. Kim, R. P. Tewarson

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

An algorithm for solving systems of nonlinear algebraic equations is described. The Jacobian matrix is modified by using a convex combination of Broyden and a weighted update. A q-superlinear convergence theorem and computational evidence exhibiting significant relative efficiency of the proposed method are given.

Original language	English
Pages (from-to)	93-97
Number of pages	5
Journal	Computers and Mathematics with Applications
Volume	24
Issue number	4
DOIs	https://doi.org/10.1016/0898-1221(92)90011-6
State	Published - Aug 1992

Bibliographical note

Funding Information:
mapported by NIH Grant 2 RO1 DK17593.

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10.1016/0898-1221(92)90011-6

Cite this

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title = "A quasi-Newton method for solving nonlinear algebraic equations",

abstract = "An algorithm for solving systems of nonlinear algebraic equations is described. The Jacobian matrix is modified by using a convex combination of Broyden and a weighted update. A q-superlinear convergence theorem and computational evidence exhibiting significant relative efficiency of the proposed method are given.",

author = "S. Kim and Tewarson, {R. P.}",

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AB - An algorithm for solving systems of nonlinear algebraic equations is described. The Jacobian matrix is modified by using a convex combination of Broyden and a weighted update. A q-superlinear convergence theorem and computational evidence exhibiting significant relative efficiency of the proposed method are given.

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A quasi-Newton method for solving nonlinear algebraic equations

Abstract

Bibliographical note

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