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

Da Fonseca C.M.; Mazilu D.A.; Mazilu I.; Williams H.T.

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

机译：Sylvester-Kac型矩阵的特征对与一维沉积和蒸发的简单模型相关

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摘要

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.

机译：在任何尺寸的有限阵列的离散单元上进行沉积和蒸发的简单模型都会导致涉及Sylvester-Kac型矩阵的矩阵方程。对于任意数量的像元，确定通用矩阵的特征值和特征向量。讨论了可以应用该解决方案的各种模型。

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《Applied mathematics letters》 |2013年第12期|共6页
作者
Da Fonseca C.M.; Mazilu D.A.; Mazilu I.; Williams H.T.;
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原文格式 PDF
正文语种 eng
中图分类应用数学;
关键词
Eigenvalues; Eigenvectors; Sylvester-Kac matrix;

机译：特征值;特征向量;Sylvester-Kac矩阵;

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1. The eigenpairs of a Sylvester-Kac type matrix associated with a simple model for one-dimensional deposition and evaporation [J] . Da Fonseca C.M., Mazilu D.A., Mazilu I., Applied mathematics letters . 2013,第12期

机译：Sylvester-Kac型矩阵的特征对与一维沉积和蒸发的简单模型相关
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7. The eigenpairs of a Sylvester-Kac type matrix associated with a simple model for one-dimensional deposition and evaporation [O] . da Fonseca, C. M., Mazilu, Dan A., Mazilu, Irina, 2013

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8. Simple one-dimensional isothermal and vertical vadose zone steady-state infiltration/evaporation model. [R] . F. T. Lindstrom D. E. Cawlfield D. D. Daffern D. F. Emer 1991

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

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