A dynamical system method for solving nonlinear ill-posed problems

Li Li; Bo Han

doi:10.1016/j.amc.2007.07.070

A dynamical system method for solving nonlinear ill-posed problems

Li Li^*
, Bo Han

^*Corresponding author for this work

School of Mathematics

Harbin Institute of Technology

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

15 Scopus citations

Abstract

This paper investigates the dynamical systems for solving nonlinear ill-posed problems, and uses Lyapunov theory which is constructed in this paper to prove the stability of the solution of the dynamical system problems. Finally, numerical experiments are presented with PC-MATLAB.

Original language	English
Pages (from-to)	399-406
Number of pages	8
Journal	Applied Mathematics and Computation
Volume	197
Issue number	1
DOIs	https://doi.org/10.1016/j.amc.2007.07.070
State	Published - 15 Mar 2008

Keywords

Dynamical system method
Lyapunov theory
Nonlinear ill-posed problems

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10.1016/j.amc.2007.07.070

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title = "A dynamical system method for solving nonlinear ill-posed problems",

abstract = "This paper investigates the dynamical systems for solving nonlinear ill-posed problems, and uses Lyapunov theory which is constructed in this paper to prove the stability of the solution of the dynamical system problems. Finally, numerical experiments are presented with PC-MATLAB.",

keywords = "Dynamical system method, Lyapunov theory, Nonlinear ill-posed problems",

author = "Li Li and Bo Han",

year = "2008",

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AU - Han, Bo

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AB - This paper investigates the dynamical systems for solving nonlinear ill-posed problems, and uses Lyapunov theory which is constructed in this paper to prove the stability of the solution of the dynamical system problems. Finally, numerical experiments are presented with PC-MATLAB.

KW - Dynamical system method

KW - Lyapunov theory

KW - Nonlinear ill-posed problems

UR - https://www.scopus.com/pages/publications/38949188248

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DO - 10.1016/j.amc.2007.07.070

M3 - 文章

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VL - 197

SP - 399

EP - 406

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 1

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A dynamical system method for solving nonlinear ill-posed problems

Abstract

Keywords

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