IJPAM: Volume 108, No. 4 (2016)
FOR PARALLEL EIGENVALUE PROBLEM
University Hassan 1-er LISERT-ENSA Bd.
Beni Amir, BP. 77, Khouribga, MOROCCO
University Kaddi Ayad
ENSA Av Abdelkrim Khattabi, BP 575
University Hassan II Casablanca
FSAC-MACS, BP. 5366, Maarif Casablanca, MOROCCO
Abstract. In this paper, we introduce the double power iteration method witch can be seen as an extension of the classical power iteration in the sense that we calculate the two dominants eigenvalues at each stage. This work aims to propose a solution of slow convergence problem to the power iteration method and the calculation of the second dominant eigenvalue. We develop a parallel iterative procedure for the calculation of eigenvalues of a given matrix and we can expressed this method as a Quadrant Interlocking Factorization (QIF) which introduced by [#!Eva79!#] and studied by [#!EvHa80!#]-[#!EvHa81!#] in other works.
Received: June 13, 2016
AMS Subject Classification: 15A06, 15A23
Key Words and Phrases: double power iteration, Q.I.F Fcatorization, RL, LU, QR Factorization, linear system and parallel process
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DOI: 10.12732/ijpam.v108i4.19 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 945 - 955