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.\}",

note = "Funding Information: mapported by NIH Grant 2 RO1 DK17593.",

year = "1992",

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language = "English",

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AU - Tewarson, R. P.

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PY - 1992/8

Y1 - 1992/8

N2 - 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.

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.

UR - https://www.scopus.com/pages/publications/38249007977

U2 - 10.1016/0898-1221(92)90011-6

DO - 10.1016/0898-1221(92)90011-6

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AN - SCOPUS:38249007977

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VL - 24

SP - 93

EP - 97

JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

IS - 4

ER -

A quasi-Newton method for solving nonlinear algebraic equations

Abstract

Bibliographical note

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