An Iterative Method for Solving the Least Norm Solution of Linear Matrix Equations

机译：一种求解线性矩阵方程的最低规范解的迭代方法

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摘要

In this paper,if a special initial matrix is chosen, we presented an iterative method to find the least norm solution of the consistent matrix equations A1X+XB1=C1,A2X+XB2=C2.

机译：在本文中，如果选择了特殊的初始矩阵，我们介绍了一种迭代方法来找到一致矩阵方程A1x + Xb1 = C2的最小规范解，A2x + Xb2 = C2。

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《International conference of matrices and operators》|2011年||共3页
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Yan-feng Wei;
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正文语种
中图分类代数、数论、组合理论;
关键词
Matrix equations; Iterative method; least norm solution;

机译：矩阵方程;迭代方法;最少规范解决方案;

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机译：线性矩阵方程A_1XB_1 + C _1X〜TD_1 = M_1，A_2XB _2 + C_2X〜TD_2 = M_2的最小范数解和最小二乘解的迭代算法
2. The matrix iterative methods for solving a class of generalized coupled Sylvester-conjugate linear matrix equations [J] . Ya-Jun Xie, Chang-Feng Ma Applied Mathematical Modelling . 2015,第16期

机译：求解一类广义耦合Sylvester-共轭线性矩阵方程的矩阵迭代方法
3. A finite iterative algorithm for solving the least-norm generalized (P, Q) reflexive solution of the matrix equations A_iXBi = C_i [J] . Yong-gong Peng, Xiang Wang Journal of computational analysis and applications . 2014,第3期

机译：求解矩阵方程A_iXBi = C_i的最小范数广义（P，Q）自反解的有限迭代算法
4. An Iterative Method for Solving the Least Norm Solution of Linear Matrix Equations [C] . Yan-feng Wei MAO;International conference of matrices and operators . 2011

机译：线性矩阵方程最小二乘解的迭代解法
5. Iteration methods for approximation of solutions of nonlinear equations in Banach spaces. [D] . Chidume, Chukwudi. 2008

机译：Banach空间中非线性方程解的逼近迭代方法。
6. On Generalization Based on Bi et al. Iterative Methods with Eighth-Order Convergence for Solving Nonlinear Equations [O] . Taher Lotfi, Alicia Cordero, Juan R. Torregrosa, -1

机译：基于Bi等人的概论。八阶收敛迭代法求解非线性方程
7. The iterative methods for solving nonlinear matrix equation X+A⋆X−1A+B⋆X−1B=Q [O] . Sarah Vaezzadeh, Seyyed Vaezpour, Reza Saadati, 2013

机译：求解非线性矩阵方程X +A⋆X-1A+B⋆X-1B= Q的迭代方法

An Iterative Method for Solving the Least Norm Solution of Linear Matrix Equations

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