Improved global algorithms for maximal eigenpair

This paper is a continuation of our previous paper [Front. Math. China, 2017, 12(5): 1023–1043] where global algorithms for computing the maximal eigenpair were introduced in a rather general setup. The efficiency of the global algorithms is improved in this paper in terms of a good use of power ite...

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Bibliographic Details
Published inFrontiers of Mathematics Vol. 14; no. 6; pp. 1077 - 1116
Main Authors Chen, Mu-Fa, Li, Yue-Shuang
Format Journal Article
LanguageEnglish
Published Beijing Higher Education Press 01.12.2019
Springer Nature B.V
Subjects
Algorithms
Economic models
Iterative methods
Mathematics
Mathematics and Statistics
Optimization
Research Article
68Q25
Maximal eigenpair
power iteration
65F10
93E15
shifted inverse iteration
quasi-symmetrization
65F15
60J27
global algorithm
Online AccessGet full text
ISSN1673-3452
2731-8648
1673-3576
2731-8656
DOI10.1007/s11464-019-0799-z

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Summary:This paper is a continuation of our previous paper [Front. Math. China, 2017, 12(5): 1023–1043] where global algorithms for computing the maximal eigenpair were introduced in a rather general setup. The efficiency of the global algorithms is improved in this paper in terms of a good use of power iteration and two quasi-symmetric techniques. Finally, the new algorithms are applied to Hua’s economic optimization model.
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content type line 14
ISSN:1673-3452
2731-8648
1673-3576
2731-8656
DOI:10.1007/s11464-019-0799-z