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On a Finite Algorithm for Computing Neutral Subspaces of Skew-Symmetric Matrices


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Abstract

Let K be a nonsingular skew-symmetric matrix of even order n = 2m. For such a matrix, the paper proposes a finite algorithm for computing an m-dimensional neutral subspace, which uses arithmetic operations and quadratic radicals only. The necessity of computing neutral subspaces originates in the problem of solving quadratic matrix equations.

About the authors

Kh. D. Ikramov

Lomonosov Moscow State University

Author for correspondence.
Email: ikramov@cs.msu.su
Russian Federation, Moscow

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