Bulletin of the Iranian Mathematical Society

Bulletin of the Iranian Mathematical Society

Generalized numerical ranges of matrix polynomials

Document Type : Research Paper

Authors
Shahid Bahonar University of Kerman, Kerman, Iran
Abstract
In this paper, we introduce the notions of C-numerical range and C-spectrum of matrix
polynomials. Some algebraic and geometrical properties are investigated. We also study the relationship between the C-numerical range of a matrix polynomial and the joint C-numerical range of its coefficients.
Keywords
Subjects

Volume 39, Issue 5 - Serial Number 5
October 2013
Pages 789-803

  • Receive Date 01 October 2011
  • Revise Date 10 June 2012
  • Accept Date 10 June 2012