A SENSITIVITY ANALYSIS OF INVERSE SINGULAR VALUE PROBLEMS

Wei-Ping Shen; Sy-Ming Guu; Chong Li

A SENSITIVITY ANALYSIS OF INVERSE SINGULAR VALUE PROBLEMS

Wei-Ping Shen
, Sy-Ming Guu
, Chong Li

管理研究所(博士班)

研究成果: 期刊稿件 › 文章 › 同行評審

摘要

We consider the sensitivity of the inverse singular value problems. Under the assumptions that the given singular values are distinct and the Jacobian matrix at the solution c* is nonsingular, a perturbation theorem is established where the existence of solutions to the perturbed problem is proved and the estimation is presented. Moreover, numerical experiments are given in the last section to illustrate our theoretical result.

原文	美式英語
頁（從 - 到）	945-956
期刊	Journal of Nonlinear and Convex Analysis
卷	17
發行號	5
出版狀態	已出版 - 2016

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title = "A SENSITIVITY ANALYSIS OF INVERSE SINGULAR VALUE PROBLEMS",

abstract = "We consider the sensitivity of the inverse singular value problems. Under the assumptions that the given singular values are distinct and the Jacobian matrix at the solution c* is nonsingular, a perturbation theorem is established where the existence of solutions to the perturbed problem is proved and the estimation is presented. Moreover, numerical experiments are given in the last section to illustrate our theoretical result.",

keywords = "CONVERGENCE, EIGENVALUE PROBLEMS, Inverse problem, NUMERICAL-METHODS, Newton's method, singular value",

author = "Wei-Ping Shen and Sy-Ming Guu and Chong Li",

year = "2016",

language = "American English",

volume = "17",

pages = "945--956",

journal = "Journal of Nonlinear and Convex Analysis",

issn = "1345-4773",

publisher = "Yokohama Publishers",

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TY - JOUR

T1 - A SENSITIVITY ANALYSIS OF INVERSE SINGULAR VALUE PROBLEMS

AU - Shen, Wei-Ping

AU - Guu, Sy-Ming

AU - Li, Chong

PY - 2016

Y1 - 2016

N2 - We consider the sensitivity of the inverse singular value problems. Under the assumptions that the given singular values are distinct and the Jacobian matrix at the solution c* is nonsingular, a perturbation theorem is established where the existence of solutions to the perturbed problem is proved and the estimation is presented. Moreover, numerical experiments are given in the last section to illustrate our theoretical result.

AB - We consider the sensitivity of the inverse singular value problems. Under the assumptions that the given singular values are distinct and the Jacobian matrix at the solution c* is nonsingular, a perturbation theorem is established where the existence of solutions to the perturbed problem is proved and the estimation is presented. Moreover, numerical experiments are given in the last section to illustrate our theoretical result.

KW - CONVERGENCE

KW - EIGENVALUE PROBLEMS

KW - Inverse problem

KW - NUMERICAL-METHODS

KW - Newton's method

KW - singular value

M3 - Journal Article

SN - 1345-4773

VL - 17

SP - 945

EP - 956

JO - Journal of Nonlinear and Convex Analysis

JF - Journal of Nonlinear and Convex Analysis

IS - 5

ER -

A SENSITIVITY ANALYSIS OF INVERSE SINGULAR VALUE PROBLEMS

摘要

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