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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2021, Volume 61, Number 4, Page 571
DOI: https://doi.org/10.31857/S0044466921040104 (Mi zvmmf11222) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Optimal control

A modied trapezoidal Broyden's method for nonlineare quations

Song Wu, Hai Jun Wang

School of Mathematics, China University of Mining and Technology, 221116 Xuzhou, P. R. China
Citations (1)
DOI: https://doi.org/10.31857/S0044466921040104
Abstract: A modified Trapezoidal Broyden's method for nonlinear equations is presented. We design and implement an alternative approximation to Jacobian matrix of Trapezoidal Broyden’s method. This method improve the efficiency by reducing the number of iterations required by the Broyden’s method, and solve the problem that the approximate matrix almost singular or singular at some points. The local convergence properties of the new method is presented. Numerical results illustrate that the proposedmethod is efficient and robust.
Key words: trapezoidal Broyden's method, quasi-Newton method, superlinear convergence, nonlinear equations.
Funding agency Grant number
Fundamental Research Funds for the Central Universities of China 2017XKQY088
This work is supported by the Fundamental Funds for Central Universities of China (2017XKQY088).
Received: 28.06.2019
Revised: 06.06.2020
Accepted: 16.12.2020
English version:
Computational Mathematics and Mathematical Physics, 2021, Volume 61, Issue 4, Pages 542–555
DOI: https://doi.org/10.1134/S0965542521040102
Bibliographic databases:
Document Type: Article
UDC: 519.65
Language: Russian
Citation: Song Wu, Hai Jun Wang, “A modied trapezoidal Broyden's method for nonlineare quations”, Zh. Vychisl. Mat. Mat. Fiz., 61:4 (2021), 571; Comput. Math. Math. Phys., 61:4 (2021), 542–555
Citation in format AMSBIB
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\by Song~Wu, Hai~Jun~Wang
\paper A modied trapezoidal Broyden's method for nonlineare quations
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2021
\vol 61
\issue 4
\pages 571
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\crossref{https://doi.org/10.31857/S0044466921040104}
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\transl
\jour Comput. Math. Math. Phys.
\yr 2021
\vol 61
\issue 4
\pages 542--555
\crossref{https://doi.org/10.1134/S0965542521040102}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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