A Comparative Study of Jacobi Method and Givens Method for Finding Eigenvalues and Eigenvectors of a Real Symmetric Matrices


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Authors

  • Alanur Hussain Laskar Department of Mathematics, M. H. C. M.Science College, Algapur-Hailakandi, Assam, India
  • Samira Behera Department of Mathematics, Assam University, Silchar, Assam, India

Keywords:

Eigenvalues and eigenvectors, Jacobi method, Givens method, Symmetric matrix, Bisection method

Abstract

The aim of this paper is to compare the Jacobi method and the Givens method for finding the eigenvalues and the corresponding eigenvectors of a real symmetric matrices. Finally, we have seen that with examples Givens method is non iterative and more efficient than Jacobi method, although it requires the given symmetric matrix into a tridiagonal matrix having the same eigenvalues.

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Published

01-11-2017

How to Cite

Alanur Hussain Laskar, & Samira Behera. (2017). A Comparative Study of Jacobi Method and Givens Method for Finding Eigenvalues and Eigenvectors of a Real Symmetric Matrices. International Journal of Mathematics And Its Applications, 5(4 - B), 151–165. Retrieved from https://ijmaa.in/index.php/ijmaa/article/view/1250

Issue

Vol. 5 No. 4 - B (2017)

Section

Research Article

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