Solvability of matrix Riccati equations

  • V. V. Palin
Article
First Online:

Abstract

The paper is aimed at studying solvability conditions for the quadratic matrix Riccati equation that arises in connection with the Chapman–Enskog projection for the Cauchy problem and the mixed problem for moment approximations of kinetic equations. The structure of the matrix equation allows for the formulation of necessary and sufficient conditions for the existence of solutions in terms of eigenvectors and associated vectors of the coefficient matrix.

Keywords

Generic Position Matrix Equation Invariant Subspace Linear Hull Projection Problem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Copyright information

© Springer Science+Business Media, Inc. 2009

Authors and Affiliations

  • V. V. Palin
    • 1
  1. 1.Moscow State UniversityMoscowRussia

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