Journal of Guangdong University of Technology ›› 2007, Vol. 24 ›› Issue (03): 21-23.

• Comprehensive Studies • Previous Articles     Next Articles

Solution and Perturbation Analysis of the Nonlinear Matrix Equation X+A~* F(X)A=Q

  

  1. (Faculty of Applied Mathematics,Guangdong University of Technology,Guangzhou 510090,China)
  • Online:2007-08-10 Published:2007-08-10

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Abstract: The nonlinear matrix equation X+A*F(X)A=Q is investigated.Sufficient conditions for the existence and uniqueness of a positive semi-definite solution are derived.Also conditions are given under which the solution depends continuously on the matrices A and Q.New perturbation estimates for the equation are obtained.

Key words: matrix equation； existence of solutions； perturbation analysis；

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