2023
DOI: 10.46939/j.sci.arts-23.4-a12
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Novel Approach for Eigenvalue Problems Using the Monte Carlo Method

FAUZIA SHAHEEN,
NAJMUDDIN AHMAD

Abstract: In this paper, we have studied various types of Monte Carlo methods along with the Power method to evaluate the maximum and minimum eigenvalue of a linear system of equations. We have studied how the accuracy of the maximum eigenvalue depends on the parameters, l (moves in Markova chain), ℵ (no of Markova chain), ℘ (accelerating parameter), and a parameter m (the power applied on the resolving matrix). We have applied these methods to the randomly chosen symmetric matrices. We have also made comparisons for th… Show more

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