TY - JOUR
A2 - Wang, Qing-Wen
AU - Sadeghi, Amir
AU - Ismail, Ahmad Izani Md.
PY - 2012
DA - 2012/01/24
TI - Approximation of the *p*th Roots of a Matrix by Using Trapezoid Rule
SP - 634698
VL - 2012
AB - 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.
SN - 0161-1712
UR - https://doi.org/10.1155/2012/634698
DO - 10.1155/2012/634698
JF - International Journal of Mathematics and Mathematical Sciences
PB - Hindawi Publishing Corporation
KW -
ER -