Newton's method for solving a class of nonlinear matrix equations

作者：Liu, Panpan; Zhang, Shugong^*

来源：Journal of Computational and Applied Mathematics, 2014, 256: 254-267.

DOI：10.1016/j.cam.2013.07.038

• Nonlinear matrix equations
• Properties of solutions
• Newton's iterative method

In this paper, a class of nonlinear matrix equations X = Q + A(H) (I circle times X - C)(-1) A is considered. An equivalent form of this equation is derived, and the properties of the solutions are studied. Then Newton's iterative method is applied to solve this equivalent one. Finally, two numerical examples are given to illustrate the efficiency of Newton's method.

• 出版日期2014-1-15
• 单位吉林大学