Steffensen method for solving nonlinear matrix equation $X+A^T X^{(-1)}A=Q$
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 de nite matrices which converges to solution of this equation.
کلید واژگان
fixed point methodSteffensen method
Nonlinear matrix equations
Linear and multilinear algebra; matrix theory
شماره نشریه
04تاریخ نشر
2014-12-011393-09-10
ناشر
Central Tehran Branch, Islamic Azad Universityسازمان پدید آورنده
Department of Mathematics, Arak University, P.O. Box 38156-8-8349, Arak, IranFaculty of Mathematical Sciences, University of Malayer, P. O. Box 16846-13114, Malayer, Iran
Faculty of Mathematical Sciences, University of Malayer, P. O. Box 16846-13114, Malayer, Iran
شاپا
2252-02012345-5934
