论文标题
部分可观测时空混沌系统的无模型预测
Topological approach to diagonalization algorithms
论文作者
论文摘要
在本文中，我们证明存在一类稀疏的Hermitian（或真实对称）矩阵的渐近对角线化算法，并且仅当矩阵在行置于行后置于赫森伯格矩阵时，就有一些行置于行。证明基于莫尔斯理论，罗伯茨的无差异图，曲折拓扑和基于计算机的同源计算。
In this paper we prove that there exists an asymptotical diagonalization algorithm for a class of sparse Hermitian (or real symmetric) matrices if and only if the matrices become Hessenberg matrices after some permutation of rows and columns. The proof is based on Morse theory, Roberts' theorem on indifference graphs, toric topology, and computer-based homological calculations.
