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Eigenvalues of factorable matrices with form IV symmetry

✍ Scribed by Kaveh, A. ;Sayarinejad, M. A.

Publisher
John Wiley and Sons
Year
2005
Tongue
English
Weight
162 KB
Volume
21
Category
Article
ISSN
1069-8299

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✦ Synopsis

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 Β© 2005 John Wiley & Sons, Ltd.

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An explicit factorization of the Fourier symbol matrix functions generated by Sommerfeld diffraction problems with oblique derivatives is obtained. For this purpose a new prefactorization procedure is developed which makes use of factorization through weighted ΒΈ spaces. These results yield a represe