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

41 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

Access to Document

10.1023/A:1023611931016

Cite this

@article{f959c0783ca74701b6675d935ba66703,

title = "The inexact Newton-like method for inverse eigenvalue problem",

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.",

keywords = "Inverse eigenvalue problem, Newton-like method, Nonlinear equations",

author = "CHAN, {R. H.} and CHUNG, {H. L.} and XU, {S. F.}",

year = "2003",

month = mar,

doi = "10.1023/A:1023611931016",

language = "English",

volume = "43",

pages = "7--20",

journal = "BIT Numerical Mathematics",

issn = "0006-3835",

publisher = "Springer Netherlands",

number = "1",

}

TY - JOUR

T1 - The inexact Newton-like method for inverse eigenvalue problem

AU - CHAN, R. H.

AU - CHUNG, H. L.

AU - XU, S. F.

PY - 2003/3

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 - http://www.scopus.com/inward/record.url?scp=4043116218&partnerID=8YFLogxK

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

Abstract

Funding

Keywords

Access to Document

Other files and links

Fingerprint

Cite this