New Approach to Identify Common Eigenvalues of real matrices using Gerschgorin Theorem and Bisection method

TL;DR

This paper introduces a novel method combining Gerschgorin theorem and Bisection method to identify common eigenvalues of real matrices, with potential applications in image processing and noise estimation.

Contribution

The paper presents a new, simple approach for finding common eigenvalues of matrices using Gerschgorin theorem and Bisection method, enhancing existing techniques.

Findings

Effective in identifying common eigenvalues

Applicable to image processing tasks

Potential for noise estimation improvements

Abstract

In this paper, a new approach is presented to determine common eigenvalues of two matrices. It is based on Gerschgorin theorem and Bisection method. The proposed approach is simple and can be useful in image processing and noise estimation.