| On the Nonlinear Matrix Equation X+ A *f1（X）A +B*f2（X）B=Q |
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| 作者姓名： | Sang Hai-feng Liu Pan-pan Zhang Shu-gong Li Qing-chun Ma Fu-ming |
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| 作者单位： | School of Mathematics, Jilin University;School of Mathematics and Statistics, Beihua University |
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| 基金项目： | The NSF(11171133) of China |
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| 摘 要： | In this paper, nonlinear matrix equations of the form X + A*f1 (X)A + B*f2 (X)B = Q are discussed. Some necessary and sufficient conditions for the existence of solutions for this equation are derived. It is shown that under some conditions this equation has a unique solution, and an iterative method is proposed to obtain this unique solution. Finally, a numerical example is given to identify the efficiency of the results obtained.
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| 关 键 词： | nonlinear matrix equation positive definite solution iterative method |
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