Robust Perron cluster analysis in conformation dynamics
type: Item
instance of: scholarly article
title: Robust Perron cluster analysis in conformation dynamics
zbMATH Open document ID: 1070.15019
author: Peter Deuflhard
author: Marcus Weber
published in: Linear Algebra and its Applications
publication date: 2005-05-04T00:00:00Z
review text: This paper is organized as follows. In Section 2, the authors revisit the stochastic generalized symmetric eigenproblem corresponding to the Perron cluster of eigenvalues, which can be viewed as being generated from multiple Perron eigenvalue by perturbation. They derive the concept of their new algorithm in Section 3. In Section 4, the Perron cluster analysis problem is formulated as a constrained maximization problem. In Section 5, the problem is reformulated as an unconstrained maximization problem. In Section 6, numerical experiments are given to document the improvement by their new algorithm over the former one.
reviewed by: Yueh-er Kuo
Mathematics Subject Classification ID: 15B51
Mathematics Subject Classification ID: 62H30
Mathematics Subject Classification ID: 15A18
Mathematics Subject Classification ID: 65F15
Mathematics Subject Classification ID: 60J10
zbMATH DE Number: 2165378
zbMATH Keywords: Markov chains
zbMATH Keywords: cluster algorithms
zbMATH Keywords: cluster of eigenvalues
zbMATH Keywords: Perron cluster analysis
zbMATH Keywords: conformation dynamics
zbMATH Keywords: stochastic matrices
zbMATH Keywords: symmetric eigenproblem
zbMATH Keywords: numerical experiments
MaRDI profile type: Publication
full work available at URL: j.laa.2004.10.026
OpenAlex ID: W2012029966
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DOI: 10.1016/J.LAA.2004.10.026
description: scientific article; zbMATH DE number 2165378