中北大学学报（自然科学版）2011，Vol.32Issue(2)：128-134,7.DOI:10.3969/j.issn.1673-3193.2011.02.003
一类矩阵方程组双对称解的修正共轭梯度法
The Modified Conjugate Gradient Method for the Bisymmetric Solutions of a Class Matrix Equations
摘要
Abstract
An iterative method was presented to find the bisymmetric solutions of the multivariable linear matrix equations. With this method, the existence of the bisymmetric solutions can be determined, and the minimal-norm bisymmetric solutions can be got by choosing special initial bisymmetric matrices. In addition, the optimal approximation matrices to the given matrices can be obtained in the solutions set of the matrix equations. Numerical experiments proved the effectiveness of the algorithm.关键词
矩阵方程组/双对称矩阵/极小范数双对称解/迭代算法/最佳逼近Key words
matrix equations/ bisymmetric matrix/ minimal-norm bisymmetric solutions/ iterative method/ optimal approximation分类
数理科学引用本文复制引用
郑凤芹,张凯院..一类矩阵方程组双对称解的修正共轭梯度法[J].中北大学学报（自然科学版）,2011,32(2):128-134,7.基金项目
陕西省自然科学基金资助项目(2006A05) （2006A05）
