On convergence properties of the modified trust region method under Hölderian error bound condition | Zendy

Jirui Ma | Zendy; Jinyan Fan | Zendy

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On convergence properties of the modified trust region method under Hölderian error bound condition

Author(s) -

Jirui Ma,

Jinyan Fan

Publication year - 2021

Publication title -

journal of industrial and management optimization

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.325

H-Index - 32

eISSN - 1553-166X

pISSN - 1547-5816

DOI - 10.3934/jimo.2021222

Subject(s) - jacobian matrix and determinant , convergence (economics) , trust region , upper and lower bounds , nonlinear system , mathematics , order (exchange) , computer science , mathematical optimization , mathematical analysis , physics , radius , computer security , finance , quantum mechanics , economics , economic growth

Trust region method is one of the important methods for nonlinear equations. In this paper, we show that the modified trust region method converges globally under the Hölderian continuity of the Jacobian. The convergence order of the method is also given under the Hölderian error bound condition.

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