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

Authors

  • A. Nazari Department of Mathematics, Arak University, P.O. Box 38156-8-8349, Arak, Iran
  • Kh. Sayehvand Faculty of Mathematical Sciences, University of Malayer, P. O. Box 16846-13114, Malayer, Iran
  • M. Rostami Faculty of Mathematical Sciences, University of Malayer, P. O. Box 16846-13114, Malayer, Iran
Abstract:

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 denite matrices which converges to solution of this equation.

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Journal title

volume 03  issue 04

pages  231- 247

publication date 2014-12-01

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