Approximation of the pth Roots of a Matrix by Using Trapezoid Rule
| Autor: | Ahmad Izani Mohamed Ismail, Amir Sadeghi |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2012 |
| Předmět: |
Quantum chromodynamics
Pure mathematics Article Subject Computer Science::Information Retrieval Computation lcsh:Mathematics Mathematical analysis Positive-definite matrix lcsh:QA1-939 Square matrix Lattice (module) Matrix (mathematics) Mathematics (miscellaneous) Cauchy's integral theorem Cauchy's integral formula Mathematics |
| Zdroj: | International Journal of Mathematics and Mathematical Sciences, Vol 2012 (2012) |
| ISSN: | 0161-1712 |
| DOI: | 10.1155/2012/634698 |
| Popis: | 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 computingf(A), in particular the roots ofA, whereAis 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. |
| Databáze: | OpenAIRE |
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