Asymptotic growth of the spectral radii of collocation matrices approximating elliptic boundary value problems

International Journal of Applied Mathematics and Computation

Eric Ngondiep¹ 

[1] University of Yaoundé1, Faculty of Sciences, Department of Mathematics$$

关键词: radial basis functions;    elliptic boundary value problems;    collocation matrices;    block Toeplitz matrices;    Perron-Frobenius theory;    Weyl-Tyrtyshnikov equal distribution;    spectral raddi;    asymptotic growth;   

DOI  :  10.0000/ijamc.2012.4.2.412

来源: PSIT Kanpur

【 摘 要 】

Throughout this paper we consider the poissons equations in two dimensions. By the collocation methods based on radial basis functions and by exploiting some tools literatures: Perron-Frobenius theory and Weyl-Tyrtyshnikov equal distribution, we prove under suitable assumptions on the shape parameter appearing in the radial basis function that the spectral radii of the collocation matrices grow as the size of the matrices.

【 授权许可】

Unknown