International Journal of Mathematics and Mathematical Sciences
Volume 20 (1997), Issue 2, Pages 335-338
A Schur method for the solution of the matrix Riccati equation
1Department of Mathematics and Statistics, Mississippi State University, Mississippi State 39762, MS, USA
2Department of Mathematics, Amirkabir University, Tehran, Iran
Received 8 February 1995
Copyright © 1997 Mohsen Razzaghi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
This paper is concerned with an analytic solution of the finite-time matrix Riccati equation.
The solution to the Riccati equation is given in terms of multiple of two matrices. These matrices
are found using a Schur-type decomposition for Hamiltonian matrices. Simple examples illustrating the
method are presented.