关键字：Matrix algebra;Algorithms - Iterative methods;Iterative algorithm - Maximal solution - Minimal solutions - Nonlinear matrix equation - Positive-definite matrices

摘要：In this paper, the distribution of the positive definite solution of the nonlinear equation X^s + A^*X ^-qA = 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.

卷号：220

是否译文：否