• NUMERICAL APPROACH TO FIND THE DOMINANT EIGENVALUE AND ITS CORRESPONDING EIGENVECTORS OF CERTAIN TWO-PARAMETER MATRIX EIGENVALUE PROBLEM

Niranjan Bora*

Abstract


This paper is concerned about the numerical study of two-parameter right definite eigenvalue problems in matrix form, which resulted in a discretization of a two-parameter Sturm–Liouville problem. The coupled spectral parameters of two-parameter eigenvalue problems will be separated using the Kronecker product. The dominant eigen-pair and its corresponding eigenvectors of the generalized eigenvalue problem of one parameter will be calculated with the help of Power Method. Finally, a numerical example is presented to illustrate the Method.


Keywords


Multiparameter eigenvalue problem, Tensor Product, kronecker product, power method.

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