On an eigenflow equation and its structure preserving properties

On an eigenflow equation and its structure preserving properties
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关于特征流方程及其结构保持性质

DOI:
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发表时间:
2009
期刊:
IEEE Conference on Decision and Control
影响因子:
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通讯作者:
A. Arsie
A. Arsie
中科院分区:
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文献类型:
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作者:
C. Ebenbauer;A. Arsie

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本文研究了一个动力系统A ∈ = [[N,<sup>AT</sup>+A],A]+ν[[<sup>AT</sup>,A],A],其中A是n×n真实的矩阵,N是常数n× n真实的矩阵,[A,B] = AB−BA,ν是正常数.特别是,这项工作的目的是建立结构保持性能的动力系统的三对角,Hessenberg和Hamilton矩阵结合潜在的应用。
The present work deals with a dynamical system of the form à = [[N,A<sup>T</sup>+A],A]+ν[[A<sup>T</sup> ,A],A],, where A is an n×n real matrix, N is constant n×n real matrix, [A,B] = AB−BA, and ν is a positive constant. In particular, the purpose of this work is to establish structure preserving properties of this dynamical system for tridiagonal, Hessenberg, and Hamiltonian matrices in combination with potential applications.