A block Newton’s method for computing invariant pairs of nonlinear matrix pencils-Reference-Cited by-同舟云学术

A block Newton’s method for computing invariant pairs of nonlinear matrix pencils

Published:2018-02-01 Issue:1 Volume:33 Page:15-23
ISSN:1569-3988
Container-title:Russian Journal of Numerical Analysis and Mathematical Modelling
language:en
Short-container-title:

Author:

Demyanko Kirill V.¹²,Nechepurenko Yuri M.¹²

Affiliation:

1. Institute of Numerical Mathematics, Russian Academy of Sciences , Gubkina str., 8 , Moscow 119333 , Russia

2. Keldysh Institute of Applied Mathematics , Miusskaya sq., 4 , Moscow 125047 , Russia

Abstract

Abstract The block inverse iteration and block Newton’s methods proposed by the authors of this paper for computing invariant pairs of regular linear matrix pencils are generalized to the case of regular nonlinear matrix pencils. Numerical properties of the proposed methods are demonstrated with a typical quadratic eigenproblem.

Publisher

Walter de Gruyter GmbH

Subject

Modelling and Simulation,Numerical Analysis

Link

https://www.degruyter.com/document/doi/10.1515/rnam-2018-0002/pdf

Reference13 articles.

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4. K. V. Demyanko, Yu. M. Nechepurenko, and M. Sadkane, A Newton-like method for computing deflating subspaces. J. Numer. Math. 23 (2015), 289–301.

5. K. V. Demyanko, Yu. M. Nechepurenko, and M. Sadkane, A Newton-type method for nonlinear eigenproblems. Russ. J. Numer. Anal. Math. Modelling32 (2017), No. 4, 1–8.