Two-step inexact Newton-type method for inverse singular value problems

In this paper, based on the two-step Newton iterative procedure, we propose a two-step inexact Newton-type method for solving inverse singular value problems. Under some mild assumptions, our results show that the two-step inexact Newton-type method is super quadratically convergent. Numerical imple...

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Bibliographic Details
Published inNumerical algorithms Vol. 84; no. 3; pp. 847 - 870
Main Authors Ma, Wei, Chen, Xiao-shan
Format Journal Article
LanguageEnglish
Published New York Springer US 01.07.2020
Springer Nature B.V
Subjects
Algebra
Algorithms
Code Division Multiple Access
Computer Science
Iterative methods
Methods
Nonlinear equations
Numeric Computing
Numerical Analysis
Original Paper
Theory of Computation
Inverse singular value problems
Two-step inexact Newton-type method
65F15
Super quadratically convergent
65F18
15A18
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Summary:In this paper, based on the two-step Newton iterative procedure, we propose a two-step inexact Newton-type method for solving inverse singular value problems. Under some mild assumptions, our results show that the two-step inexact Newton-type method is super quadratically convergent. Numerical implementations demonstrate the effectiveness of the new method.
ISSN:1017-1398
1572-9265
DOI:10.1007/s11075-019-00783-x