Computational Methods for Linear Matrix Equations 论文

2016SIAM Review引用 490
Matrix Theory and AlgorithmsNumerical methods for differential equationsElectromagnetic Scattering and Analysis

详细信息

发表期刊/会议
SIAM Review
发表日期
2016-01-01
发表年份
2016

关键词

Matrix Theory and AlgorithmsNumerical methods for differential equationsElectromagnetic Scattering and Analysis

摘要

Given the square matrices A, B, D, E and the matrix C of conforming dimensions, we consider the linear matrix equation AXE + DXB = C in the unknown matrix 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.