Key Words:Matrix algebra;Algorithms - Iterative methods;Iterative algorithm - Maximal solution - Minimal solutions - Nonlinear matrix equation - Positive-definite matrices
Abstract:In this paper, the distribution of the positive definite solution of the nonlinear equation X<sup>s</sup> + A<sup>*</sup>X <sup>-q</sup>A = I is deduced, the existence of the maximal solution and the minimal solution is discussed and two new iterative algorithms for obtaining these solutions are proposed. These algorithms avoid matrix inversion. © 2013 Elsevier Inc. All rights reserved.
Volume:220
Translation or Not:no