Open AccessOn computation of real eigenvalues of matrices via the Adomian decomposition
Author(s) -
Hooman Fatoorehchi,
Hossein Abolghasemi
Publication year - 2014
Publication title -
journal of the egyptian mathematical society
Language(s) - English
Resource type - Journals
eISSN - 2090-9128
pISSN - 1110-256X
DOI - 10.1016/j.joems.2013.06.004
Subject(s) - eigenvalues and eigenvectors , adomian decomposition method , mathematics , computation , eigendecomposition of a matrix , matrix (chemical analysis) , decomposition , iterative method , matrix differential equation , point (geometry) , algebra over a field , mathematical optimization , algorithm , mathematical analysis , pure mathematics , differential equation , geometry , ecology , physics , materials science , quantum mechanics , composite material , biology
The problem of matrix eigenvalues is encountered in various fields of engineering endeavor. In this paper, a new approach based on the Adomian decomposition method and the Faddeev-Leverrier’s algorithm is presented for finding real eigenvalues of any desired real matrices. The method features accuracy and simplicity. In contrast to many previous techniques which merely afford one specific eigenvalue of a matrix, the method has the potential to provide all real eigenvalues. Also, the method does not require any initial guesses in its starting point unlike most of iterative techniques. For the sake of illustration, several numerical examples are included