Sadeghi, Amir and Md. Ismail, Ahmad Izani
(2012)
Approximation of the pth Roots of a Matrix by Using Trapezoid Rule.
International Journal of Mathematics and Mathematical Sciences, 2012 (634698).
pp. 113.
ISSN 01611712
Abstract
The computation of the roots of positive definite matrices arises in nuclear magnetic resonance,
control theory, lattice quantum chromodynamics �QCD�, and several other areas of applications.
The Cauchy integral theorem which arises in complex analysis can be used for computing f(A), in
particular the roots of A, where A is a square matrix. The Cauchy integral can be approximated by
using the trapezoid rule. In this paper, we aim to give a brief overview of the computation of roots
of positive definite matrices by employing integral representation. Some numerical experiments
are given to illustrate the theoretical results.
Actions (login required)

View Item 