A Newton type linearization method for solution of nonlinear equations

M. Shacham; R. S.H. Mah

doi:10.1016/0098-1354(78)80009-X

A Newton type linearization method for solution of nonlinear equations

M. Shacham, R. S.H. Mah

Department of Chemical Engineering

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

3 Scopus citations

Abstract

Convergence properties of a new iterative method for solution of non-linear equations are investigated. It is shown that for a system of equations which contain mixed linear equations and homogeneous functions of degree n, the convergence of this method is equivalent to the convergence of Newton's method. In contrast to the latter, this new method does not require evaluation of the vector of function values at every iteration.

Original language	English
Pages (from-to)	64-66
Number of pages	3
Journal	Computers and Chemical Engineering
Volume	2
Issue number	1
DOIs	https://doi.org/10.1016/0098-1354(78)80009-X
State	Published - 1 Jan 1978

ASJC Scopus subject areas

General Chemical Engineering
Computer Science Applications

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10.1016/0098-1354(78)80009-X

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title = "A Newton type linearization method for solution of nonlinear equations",

abstract = "Convergence properties of a new iterative method for solution of non-linear equations are investigated. It is shown that for a system of equations which contain mixed linear equations and homogeneous functions of degree n, the convergence of this method is equivalent to the convergence of Newton's method. In contrast to the latter, this new method does not require evaluation of the vector of function values at every iteration.",

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year = "1978",

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doi = "10.1016/0098-1354(78)80009-X",

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AU - Shacham, M.

AU - Mah, R. S.H.

PY - 1978/1/1

Y1 - 1978/1/1

N2 - Convergence properties of a new iterative method for solution of non-linear equations are investigated. It is shown that for a system of equations which contain mixed linear equations and homogeneous functions of degree n, the convergence of this method is equivalent to the convergence of Newton's method. In contrast to the latter, this new method does not require evaluation of the vector of function values at every iteration.

AB - Convergence properties of a new iterative method for solution of non-linear equations are investigated. It is shown that for a system of equations which contain mixed linear equations and homogeneous functions of degree n, the convergence of this method is equivalent to the convergence of Newton's method. In contrast to the latter, this new method does not require evaluation of the vector of function values at every iteration.

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U2 - 10.1016/0098-1354(78)80009-X

DO - 10.1016/0098-1354(78)80009-X

M3 - Article

AN - SCOPUS:49349136668

SN - 0098-1354

VL - 2

SP - 64

EP - 66

JO - Computers and Chemical Engineering

JF - Computers and Chemical Engineering

IS - 1

ER -

A Newton type linearization method for solution of nonlinear equations

Abstract

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