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Solvability of quadratic matrix equations

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Abstract

Solvability conditions are studied in this paper for a quadratic matrix Riccati equation arising in studies of the Chapman-Enskog projection for a Cauchy problem and a mixed problem for momentum approximations of kinetic equations. The structure of the matrix equation permits one to formulate necessary and sufficient solvability conditions in terms of eigenvectors and associated vectors for the matrix composed from the coefficients.

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Authors and Affiliations

  1. Faculty of Mechanics and Mathematics, Moscow State University, Leninskie Gory, Moscow, 119899, Russia

    V. V. Palin

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  1. V. V. Palin
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Additional information

Original Russian Text © V.V. Palin, 2008, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2008, Vol. 63, No. 6, pp. 36–41.

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Palin, V.V. Solvability of quadratic matrix equations. Moscow Univ. Math. Bull. 63, 256–261 (2008). https://doi.org/10.3103/S0027132208060053

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  • DOI: https://doi.org/10.3103/S0027132208060053

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