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

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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… Click to show full 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.

Keywords: nonlinear matrix; block newton; matrix; invariant pairs; matrix pencils; computing invariant

Journal Title: Russian Journal of Numerical Analysis and Mathematical Modelling
Year Published: 2018

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