A Dual Deflation Method for the Computation of Eigenmodes of Positive Definite Matrices

Authors

Pravin Singh Department of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban 4001, South Africa
Shivani Singh Department of Decision Science, University of South Africa, Pretoria 0003, South Africa
Virath Singh Department of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban 4001, South Africa

DOI:

https://doi.org/10.37256/cm.5220243674

Keywords:

eigenvalues, symmetric positive definite, deflation

Abstract

In this paper we advocate a new method to compute the eigenmodes of real symmetric positive definite matrices. Our method involves the zeros of a quartic polynomial, shifted inverse iteration and deflation of two eigenmodes simultaneously.

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Published

2024-04-17

Issue

Contemporary Mathematics, Volume 5 Issue 2 (2024), 1122-2592

Section

Research Article

License

This work is licensed under a Creative Commons Attribution 4.0 International License.