The inexact Newton-like method for inverse eigenvalue problem

R. H. CHAN; H. L. CHUNG; S. F. XU

doi:10.1023/A:1023611931016

The inexact Newton-like method for inverse eigenvalue problem

R. H. CHAN^*, H. L. CHUNG, S. F. XU

^*Corresponding author for this work

Research output: Journal Publications › Journal Article (refereed) › peer-review

42 Citations (Scopus)

Abstract

In this paper, we consider using the inexact Newton-like method for solving inverse eigenvalue problem. This method can minimize the oversolving problem of Newton-like methods and hence improve the efficiency. We give the convergence analysis of the method, and provide numerical tests to illustrate the improvement over Newton-like methods.

Original language	English
Pages (from-to)	7-20
Number of pages	14
Journal	BIT Numerical Mathematics
Volume	43
Issue number	1
DOIs	https://doi.org/10.1023/A:1023611931016
Publication status	Published - Mar 2003
Externally published	Yes

Funding

The work of the first author was p artially sup p orted by the HK Research Grant Council grant CUHK4212/99P and CUHK DAG 2060183, and the work of the third author was p artially sup p orted by the Natural Science Foundation of China under Grant 19971007.

Keywords

Inverse eigenvalue problem
Newton-like method
Nonlinear equations

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10.1023/A:1023611931016

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abstract = "In this paper, we consider using the inexact Newton-like method for solving inverse eigenvalue problem. This method can minimize the oversolving problem of Newton-like methods and hence improve the efficiency. We give the convergence analysis of the method, and provide numerical tests to illustrate the improvement over Newton-like methods.",

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AU - CHAN, R. H.

AU - CHUNG, H. L.

AU - XU, S. F.

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Y1 - 2003/3

N2 - In this paper, we consider using the inexact Newton-like method for solving inverse eigenvalue problem. This method can minimize the oversolving problem of Newton-like methods and hence improve the efficiency. We give the convergence analysis of the method, and provide numerical tests to illustrate the improvement over Newton-like methods.

AB - In this paper, we consider using the inexact Newton-like method for solving inverse eigenvalue problem. This method can minimize the oversolving problem of Newton-like methods and hence improve the efficiency. We give the convergence analysis of the method, and provide numerical tests to illustrate the improvement over Newton-like methods.

KW - Inverse eigenvalue problem

KW - Newton-like method

KW - Nonlinear equations

UR - https://www.scopus.com/pages/publications/4043116218

U2 - 10.1023/A:1023611931016

DO - 10.1023/A:1023611931016

M3 - Journal Article (refereed)

AN - SCOPUS:4043116218

SN - 0006-3835

VL - 43

SP - 7

EP - 20

JO - BIT Numerical Mathematics

JF - BIT Numerical Mathematics

IS - 1

ER -

The inexact Newton-like method for inverse eigenvalue problem

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