Approximation of the pth Roots of a Matrix by Using Trapezoid Rule

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. 1-13. ISSN 0161-1712

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Abstract

The computation of the roots of positive definite matrices arises in nuclear magnetic resonance, control theory, lattice quantum chromo-dynamics �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.

Item Type:	Article
Subjects:	Q Science > QA Mathematics > QA1-939 Mathematics
Divisions:	Pusat Pengajian Sains Matematik (School of Mathematical Sciences) > Article
Depositing User:	Mr Noorazilan Noordin
Date Deposited:	12 Jan 2018 03:45
Last Modified:	12 Jan 2018 03:45
URI:	http://eprints.usm.my/id/eprint/38357

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