Please use this identifier to cite or link to this item: http://dspace.iiti.ac.in:8080/jspui/handle/123456789/431
Title: Bounds for Eigenvalues of Matrix Polynomials Over Quaternion Division Algebra
Authors: Safique Ahmad, Sk.
Keywords: Mathematics
Issue Date: 2016
Publisher: Advances in Applied Clifford Algebras
Citation: Advances in Applied Clifford Algebras , Vol. 26, pp. 1095-1125,2016.
Series/Report no.: JA02;
Abstract: Localization theorems are discussed for the left and right eigenvalues of block quaternionic matrices. Basic definitions of the left and right eigenvalues of quaternionic matrices are extended to quaternionic matrix polynomials. Furthermore, bounds on the absolute values of the left and right eigenvalues of quaternionic matrix polynomials are devised and illustrated for the matrix p norm, where p = 1, 2,∞, F. The above generalizes the bounds on the absolute values of the eigenvalues of complex matrix polynomials, which give sharper bounds to the bounds developed in [LAA, 358, pp. 5–22 2003] for the case of 1, 2, and ∞ matrix norms.]
URI: http://hdl.handle.net/123456789/431
Appears in Collections:Discipline of Mathematics

Files in This Item:
File Description SizeFormat 
Safique Ahmad_JA02.pdf534.3 kBAdobe PDFView/Open    Request a copy


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.