计算量小的改进super-Halley方法半局部收敛性分析

Q1 Mathematics

Lms Journal of Computation and Mathematics Pub Date : 2016-01-01 DOI:10.1112/S1461157016000395

Xiuhua Wang, Jisheng Kou

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引用次数: 1

摘要

研究了Banach空间中改进super-Halley方法的半局部收敛性。[J]。古蒂海姆和硕士Hernández, Comput。数学。appll . 36(1998) 1-8]，这些改进的方法不需要计算二阶导数，减少了反演的计算，也提高了r阶。在较弱的条件下，证明了该解的存在唯一性定理。

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Analysis of semilocal convergence for ameliorated super-Halley methods with less computation for inversion

In this paper, the semilocal convergence for ameliorated super-Halley methods in Banach spaces is considered. Different from the results in [J. M. Gutiérrez and M. A. Hernández, Comput. Math. Appl. 36 (1998) 1–8], these ameliorated methods do not need to compute a second derivative, the computation for inversion is reduced and the R-order is also heightened. Under a weaker condition, an existence–uniqueness theorem for the solution is proved.

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来源期刊

Lms Journal of Computation and Mathematics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.60

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： LMS Journal of Computation and Mathematics has ceased publication. Its final volume is Volume 20 (2017). LMS Journal of Computation and Mathematics is an electronic-only resource that comprises papers on the computational aspects of mathematics, mathematical aspects of computation, and papers in mathematics which benefit from having been published electronically. The journal is refereed to the same high standard as the established LMS journals, and carries a commitment from the LMS to keep it archived into the indefinite future. Access is free until further notice.