数学杂志2011，Vol.31Issue(6)：1117-1124,8.
双变量矩阵方程组对称最小二乘解的迭代算法
AN ITERATIVE METHOD FOR THE LEAST-SQUARES SYMMETRIC SOLUTIONS OF THE MATRIX EQUATIONS WITH DOUBLE-VARIABLE
摘要
Abstract
The article studies the problem of the least-squares symmetric solutions of the linear matrix equations with double-variable. We use the conjugate gradient method for solving linear algebraic equations and the special transformation and approximate disposal for the relative matrices and coefficient. Expand the application of the conjugate gradient method, numerical experiments show that the iterative algorithm is quite efficient.关键词
线性矩阵方程组/对称最小二乘解/极小范数最小二乘解/迭代算法/最佳逼近Key words
linear matrix equations/ the least-squares symmetric solutions/ least-squares solutions with least-norm/ iterative method/ optimal approximation分类
数理科学引用本文复制引用
郑凤芹,张凯院,武见..双变量矩阵方程组对称最小二乘解的迭代算法[J].数学杂志,2011,31(6):1117-1124,8.基金项目
陕西省自然科学基金项目(2006A05). （2006A05）
