Matrix symmetrization

被引：5

作者：

Bar-Itzhack, IY ^{[1
]}

机构：

[1] Technion Israel Inst Technol, Fac Aerosp Engn, IL-32000 Haifa, Israel

来源：

JOURNAL OF GUIDANCE CONTROL AND DYNAMICS | 1998年 / 21卷 / 01期

关键词：

D O I：

10.2514/2.4218

中图分类号：

V [航空、航天];

学科分类号：

08 ; 0825 ;

摘要：

It has been suggested that the symmetrized real matrix is also the symmetric matrix that is the closest, in the Euclidean norm, to the matrix being symmetrized. This implies that, when symmetrizing the solutions to Riccati and Lyapunov equations, one actually replaces the solution by its closest symmetric matrix. A calculus-based proof showed that this result can be obtained using simple rationale.

引用

页码：178 / 179

页数：2