非线性矩阵方程X~s+sum from i=1 to m A_i~HX~(-t_i)A_i=Q的不动点迭代算法
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摘要
为了求解非线性矩阵方程X~s+sum from i=1 to m A_i~HX~(-t_i)A_i=Q在0 In order to solve the maximal Hermitian positive definite solution of nonlinear matrix equation X~s+sum from i=1 to m A_i~HX~(-t_i)A_i=Q(0
引文
[1]CAI J,CHEN G.On the Hermitian positive definite solutions of nonlinear matrix equation Xs+A*X-tA=Q[J].Applied Mathematics and Computation,2010,217:117-123.
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[5]PENG Zhenyun,EI-SAYED S M,ZHANG Xianglin.Iterative methods for the extremal positive definite solution of the matrix equation X+A*X-αA=Q[J].Applied Mathematics and Computational,2007,200:520-527.
[6]ZHOU D,CHEN G,Some properties of the nonlinear matrix equation Xs+A*X-tA=Q[J].Journal of Mathematics Analysis Applications,2012:392:75-82.
[7]LIU A,CHEN G.On the Hermitian positive definite som lutions of nonlinear matrix equation Xs+-tiAi i∑A*iX=1=Q[J].Applied Mathematics and Computation,2014,243:950-959.
[8]PARODI M.La localisation des valeurs caracterisiques desmatrices etses applications[M].Paris:Cauthier-Villars,1959:165-180.
[9]FURUTA T.Operator inequalities associated with Holder-McCarthy and Kantorovich inequalities[J].Journal of Inequalities and Appllied,1998,6:137-160.
[2]ZHOU D,CHEN G.Some inequalities for the nonlinear matrix equation Xs+A*X-tA=Q:trace,determinant and eigenvalue[J].Applied Mathematics and Computation,2013,224:21-28.
[3]YIN X,WEN R.On the nonlinear matrix equation X+m J].Bulletin of the Korean i∑A*iX-qAi=Q(0
[5]PENG Zhenyun,EI-SAYED S M,ZHANG Xianglin.Iterative methods for the extremal positive definite solution of the matrix equation X+A*X-αA=Q[J].Applied Mathematics and Computational,2007,200:520-527.
[6]ZHOU D,CHEN G,Some properties of the nonlinear matrix equation Xs+A*X-tA=Q[J].Journal of Mathematics Analysis Applications,2012:392:75-82.
[7]LIU A,CHEN G.On the Hermitian positive definite som lutions of nonlinear matrix equation Xs+-tiAi i∑A*iX=1=Q[J].Applied Mathematics and Computation,2014,243:950-959.
[8]PARODI M.La localisation des valeurs caracterisiques desmatrices etses applications[M].Paris:Cauthier-Villars,1959:165-180.
[9]FURUTA T.Operator inequalities associated with Holder-McCarthy and Kantorovich inequalities[J].Journal of Inequalities and Appllied,1998,6:137-160.