Approximating the inverse and the Moore-Penrose inverse of complex matrices

被引：2

作者：

Cordero, Alicia ^{[1
]}

Torregrosa, Juan R. ^{[1
]}

Zafar, Fiza ^{[1
,2
]}

机构：

[1] Univ Politecn Valencia, Inst Multidisciplinary Math, Camino Vera S-N, E-46022 Valencia, Spain

[2] Bahauddin Zakariya Univ, Ctr Adv Studies Pure & Appl Math, Multan, Pakistan

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2019年 / 42卷 / 17期

关键词：

iterative method; Moore-Penrose inverse; Schulz-type method; singular value decomposition;

D O I：

10.1002/mma.5879

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A parametric family of fourth-order schemes for computing the inverse and the Moore-Penrose inverse of a complex matrix is designed. A particular value of the parameter allows us to obtain a fifth-order method. Convergence analysis of the different methods is studied. Every iteration of the proposed schemes involves four matrix multiplications. A numerical comparison with other known methods, in terms of the average number of matrix multiplications and the mean of CPU time, is presented.

引用

页码：5920 / 5928

页数：9

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