Steffensen method for solving nonlinear matrix equation $X+A^T X^{(-1)}A=Q$

Journal of Linear and Topological Algebra

مقاله 6، دوره 03، شماره 04، اسفند 2014، صفحه 231-247   

نویسندگان

A. Nazari^{* 1}؛ Kh. Sayehvand²؛ M. Rostami²

¹Department of Mathematics, Arak University, P.O. Box 38156-8-8349, Arak, Iran

²Faculty of Mathematical Sciences, University of Malayer, P. O. Box 16846-13114, Malayer, Iran

چکیده

In this article we study Steffensen method to solve nonlinear matrix equation $X+A^T X^{(-1)}A=Q$, when $A$ is a normal matrix. We establish some conditions that generate a sequence of positive definite matrices which converges to solution of this equation.

کلیدواژه‌ها

Fixed point method؛ Steffensen method؛ Nonlinear matrix equations

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