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Note on the Factorization of a Square Matrix into Two Hermitian or Symmetric Matrices

机译：关于将方阵分解为两个Hermitian或对称矩阵的注记

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摘要

Seven properties of the factorization of a square matrix into two (Hermitian or symmetric) matrices are presented. An example in differential equations is given.

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作者
Bosch, A. J.;
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年度 1984
页码 p.1-7
总页数 7
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Factorization; Jordan form; Operators (Mathematics); Complex variables; Differential equations; Eigenvalues;

机译：分解;约旦形式;算子（数学）;复变量;微分方程;特征值;

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专利

1. Componentwise analysis of direct factorization of real symmetric and Hermitian matrices [J] . Slapnicar I. Linear Algebra and its Applications . 1998,第0期

机译：实对称和埃尔米特矩阵直接因式分解的分量分析
2. 2 × 2 random matrix ensembles with reduced symmetry: From Hermitian to PT-symmetric matrices [J] . Gong J., Wang Q.-H. Journal of physics, A. Mathematical and theoretical . 2012,第44期

机译：对称性降低的2×2随机矩阵集合：从Hermitian到PT对称矩阵
3. Least Squares Hermitian Problem of Matrix Equation (&i&AXB&/i&, &i&CXD&/i&) = (&i&E&/i&, &i&F&/i&) Associated with Indeterminate Admittance Matrices [J] . Yanfang Liang, Shifang Yuan, Yong Tian, Journal of Applied Mathematics and Physics . 2018,第6期

机译：矩阵方程的最小二乘Hermitian问题（iAXB / i，iCXD / i）=（iE / i，iF / i）与不确定的导纳矩阵相关
4. Least-square solutions of the linear matrix equation over symmetric orthogonal symmetric matrices [C] . Tian Ru, Sheng Yan-Ping Proceedings of 2011 International Conference on Machine Learning and Cybernetics . 2011

机译：对称正交对称矩阵上线性矩阵方程的最小二乘解
5. Matrix factorizations, triadic matrices, and modified Cholesky factorizations for optimization [D] . Fang, Haw-ren 2006

机译：矩阵分解，三元矩阵和改进的Cholesky分解以进行优化
6. SNMFSMMA: using symmetric nonnegative matrix factorization and Kronecker regularized least squares to predict potential small molecule-microRNA association [O] . Yan Zhao, Xing Chen, Jun Yin, 2020

机译：SNMFSMMA：使用对称的非负矩阵分解和Kronecker规则化最小二乘来预测潜在的小分子微窝球协会
7. Note on the factorization of a square matrix into two Hermitian or symmetric matrices [O] . Bosch, AJ 1987

机译：关于将正方形矩阵分解为两个Hermitian或对称矩阵的注意

Note on the Factorization of a Square Matrix into Two Hermitian or Symmetric Matrices

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