Computational Methods for Linear Matrix Equations
Computational Methods for Linear Matrix Equations
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DOI：
10.1137/130912839
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发表时间：
2016-08
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影响因子：
--
通讯作者：
V. Simoncini
中科院分区：
文献类型：
--
作者：
V. Simoncini
给定维数一致的方阵A，B，D，E和矩阵C，考虑未知矩阵中的线性矩阵方程A{\martbf X} E+D{\martbf X} B = C.我们的目的是提供一个概述的主要算法的发展，在过去的几十年中发生的数值解决这个问题和相关的问题，这是生产可靠的数值工具，在制定和解决先进的数学模型在工程和科学计算。
Given the square matrices $A, B, D, E$ and the matrix $C$ of conforming dimensions, we consider the linear matrix equation $A{\mathbf X} E+D{\mathbf X} B = C$ in the unknown matrix ${\mathbf X}$. Our aim is to provide an overview of the major algorithmic developments that have taken place over the past few decades in the numerical solution of this and related problems, which are producing reliable numerical tools in the formulation and solution of advanced mathematical models in engineering and scientific computing.