On positive definite solutions of nonlinear matrix equation Xs-A∗X-tA=Q

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摘要

In this paper, the nonlinear matrix equation Xs-A∗X-tA=Q is investigated. Based on the fixed-point theory, the existence and the uniqueness of the positive definite solution are studied. An effective iterative method to obtain the unique positive definite solution is established given ‖A‖·‖Q-1‖s+ts

论文关键词:15A24,65F15,65F35,Nonlinear matrix equation,Positive definite solution,Iteration,Perturbation estimates,Fixed-point theorem

论文评审过程:Available online 4 January 2010.

论文官网地址:https://doi.org/10.1016/j.amc.2009.12.050