Eigenvalues of factorable matrices with form IV symmetry

Abstract

Abstract The methods developed for eigensolution of matrices with special patterns ( Commun. Numer. Methods Engng 2003; 19 : 125; 2004; 20 : 133) is extended to another canonical form defined as the symmetry of Form IV . Efficient methods are presented for evaluating the eigenvalues for this form of matrices. The graph representation of this type of symmetry is also included in this study. The process of development is accompanied by some illustrative examples. Copyright © 2005 John Wiley & Sons, Ltd.