An Effective Java-based Algorithm to Compute Eigenvalues of Symmetric Toeplitz Matrices
Serein Al-Ratrout
Department of Information Technology, Al Zahra College for Women, P. O. Box 3365, Muscat 111, Oman.
Kamel Al-Khaled *
Department of Mathematics and Statistics, Sultan Qaboos University, P. O. Box 36, Al-Khod 123, Muscat, Sultanate Oman.
*Author to whom correspondence should be addressed.
Abstract
Eigenvalues are a special set of scalars associated with a linear system of equations, that are sometimes also known as characteristic roots. In this work, a Java-based algorithm is developed to find the eigenvalues for Toeplitz matrices using Adomian’s decomposition method (shortly, ADM). Illustrative examples will be examined to support the proposed analysis.
Keywords: Toeplitz matrices, eigenvalues, fast algorithms, matrix computation, adomian decomposition, characteristic polynomials