On positive definite solutions of the family of matrix equations X+A*X-nA=Q

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摘要

The nonlinear matrix equation X+A*X-nA=Q and properties of its positive definite solutions are studied. Sufficient conditions for existence the minimal XS and special Xl positive definite solutions are derived and iterative procedures for computing these solution are discussed.

论文关键词：15A24,15A45,65F35,Nonlinear matrix equation,Positive definite solution

论文评审过程：Received 28 January 2005, Revised 13 June 2005, Available online 26 July 2005.

论文官网地址：https://doi.org/10.1016/j.cam.2005.06.007