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

Author

Demyanko, Kirill V. and Nechepurenko, Yuri M.

Subjects
*NUMERICAL analysis, *MATHEMATICAL analysis, *ALGORITHMS, *COMPUTER simulation, *MATHEMATICAL models
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. [ABSTRACT FROM AUTHOR]

Published
2018
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