Newton’s method for the quadratic matrix equation
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摘要
Under suitable condition, a quadratic matrix equation is equivalent to a nonlinear matrix equation. We apply Newton’s method to the nonlinear matrix equation for computing the numerical solution of a class of quadratic matrix equations. Convergence theorems are derived and numerical results are also given.
论文关键词：Quadratic matrix equation,Nonlinear matrix equation,Iteration method,Newton’s method,Convergence theorem
论文评审过程：Available online 4 August 2006.
论文官网地址：https://doi.org/10.1016/j.amc.2006.06.014
