Numerical Algebra, Control and Optimization (NACO)

An algorithm for the largest eigenvalue of nonhomogeneous nonnegative polynomials

Pages: 75 - 91, Volume 4, Issue 1, March 2014      doi:10.3934/naco.2014.4.75

       Abstract        References        Full Text (481.0K)       Related Articles       

Nur Fadhilah Ibrahim - Department of Mathematics and Statistics, Curtin University, Bentley, WA, Australia (email)

Abstract: In this paper, we propose an iterative method for calculating the largest eigenvalue of nonhomogeneous nonnegative polynomials. This method is a generalization of the method in [19]. We also prove this method is convergent for irreducible nonhomogeneous nonnegative polynomials.

Keywords:  Eigenvalue, nonhomogeneous, polynomial, iterative method, tensor.
Mathematics Subject Classification:  Primary: 15A18, 15A69; Secondary: 65F15

Received: February 2013;      Revised: November 2013;      Available Online: December 2013.