K. Rhofir, M. Ameur, A. Radid
University Hassan 1-er LISERT-ENSA Bd.
Beni Amir, BP. 77, Khouribga, MOROCCO
University Kaddi Ayad
ENSA Av Abdelkrim Khattabi, BP 575
Gueliz-Marrakech, MOROCCO
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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