International Journal of Mathematics and Mathematical Sciences 
Volume 20 (1997), Issue 2, Pages 335-338
doi:10.1155/S0161171297000446

A Schur method for the solution of the matrix Riccati equation

Mohsen Razzaghi1,2

 1Department of Mathematics and Statistics, Mississippi State University, Mississippi State 39762, MS, USA
2Department of Mathematics, Amirkabir University, Tehran, Iran
Received 8 February 1995

Abstract

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.