Solvability of matrix Riccati equations |
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| Authors: | V V Palin |
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| Institution: | (1) School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu, 730000, People’s Republic of China;(2) College of Mathematics–Physics and Information Science, Tianshui Normal University, Tianshui, Gansu, 741001, People’s Republic of China |
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| 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. |
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