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.
Library of Congress Subject Headings
Polynomials; Matrices; Schur multiplier
Publication Date
5-13-2010
Document Type
Thesis
Advisor
Not listed
Recommended Citation
Lahnovych, Carrie, "Analysis and computation of a quadratic matrix polynomial with Schur-products and applications to the Barboy-Tenne model" (2010). Thesis. Rochester Institute of Technology. Accessed from
https://repository.rit.edu/theses/4502
Campus
RIT – Main Campus
Comments
Note: imported from RIT’s Digital Media Library running on DSpace to RIT Scholar Works in December 2013. Physical copy available through RIT's The Wallace Library at: QA161.P59 L34 2010