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Solvability of quadratic matrix equations

Solvability of quadratic matrix equations

Authors :
V. V. Palin
Source :
Moscow University Mathematics Bulletin. 63:256-261
Publication Year :
2008
Publisher :
Allerton Press, 2008.

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.

Details

ISSN :
19348444 and 00271322
Volume :
63
Database :
OpenAIRE
Journal :
Moscow University Mathematics Bulletin
Accession number :
edsair.doi...........b082860b978d9ba2d9e6731353937f0a
Full Text :
https://doi.org/10.3103/s0027132208060053