| 非线性矩阵方程中心对称解的牛顿- MCG算法 |
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| 引用本文： | 陈世军.非线性矩阵方程中心对称解的牛顿- MCG算法[J].延边大学理工学报,2019,0(2):109-113. |
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| 作者姓名： | 陈世军 |
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| 作者单位： | ( 福建工程学院 应用技术学院, 福建 福州 350001 ) |
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| 摘 要： | 研究了一类含有高次逆幂非线性矩阵方程中心对称解的数值计算问题.首先用牛顿算法求等价的线性矩阵方程的中心对称解,然后用修正共轭梯度算法(MCG算法)求线性矩阵方程的中心对称解或中心对称最小二乘解.数值算例表明,本文算法有效.
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| 关 键 词： | 含高次逆幂的矩阵方程 中心对称解 修正共轭梯度法 |
A Newton-MCG algorithm for centrosymmetric solutions of nonlinear matrix equations |
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| CHEN Shijun.A Newton-MCG algorithm for centrosymmetric solutions of nonlinear matrix equations[J].Journal of Yanbian University (Natural Science),2019,0(2):109-113. |
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| Authors: | CHEN Shijun |
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| Affiliation: | ( College of Applied Technology, Fujian University of Technology, Fuzhou 350001, China ) |
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| Abstract: | In this paper, we study the numerical computation of central symmetric solution for a class of nonlinear matrix equation with higher order inverse -power. The modified conjugate gradient algorithm(MCG)is used to solve the central symmetric solution or the central symmetric least squares solution of the linear matrix equation derived by Newton's algorithm in each iteration step. The numerical example shows that the algorithm is effective. |
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| Keywords: | matrix equation with high order inverse -power central symmetric solution modified conjugate gradient method |
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