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arXiv · 1306.3713

The eigenpairs of a Sylvester-Kac type matrix associated with a simple model for one-dimensional deposition and evaporation

C. M. da Fonseca·Dan A. Mazilu·Irina Mazilu·H. Thomas Williams
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Abstract

A straightforward model for deposition and evaporation on discrete cells of a finite array of any dimension leads to a matrix equation involving a Sylvester-Kac type matrix. The eigenvalues and eigenvectors of the general matrix are determined for an arbitrary number of cells. A variety of models to which this solution may be applied are discussed.

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C. M. da Fonseca, Dan A. Mazilu, Irina Mazilu, H. Thomas Williams. 2013-06-16. The eigenpairs of a Sylvester-Kac type matrix associated with a simple model for one-dimensional deposition and evaporation. https://arxiv.org/abs/1306.3713

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