Analysis and computation of a quadratic matrix polynomial with Schur-products and applications to the Barboy-Tenne model

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Title: Analysis and computation of a quadratic matrix polynomial with Schur-products and applications to the Barboy-Tenne model
Author: Lahnovych, Carrie
Abstract: Quadratic matrix polynomials of the form Y^2 +τ ◦Y = B +τ ◦C , where Y , τ , B, and C are real, symmetric 3x3 matrices and the dot ◦ denotes the Schur product, arise in the Barboy-Tenne equations of statistical mechanics [1]. In this paper we discuss the number of solutions for Y , and devise and implement algorithms solving equations of this form. We will focus our attention on solving the equations in two specific cases and discuss the existence of a solution in the general case.
Record URI: http://hdl.handle.net/1850/12207
Date: 2010-05-13

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