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Toumi, A. (2005) Utilisation des filtres de Tchebycheff et construction de préconditionneurs spéciaux pour l’accélération des methods de Krylov. Thèse No. 2296, de l’Institut National Polytechnique de Toulouse, France.

has been cited by the following article:

• TITLE: On the FOM Algorithm for the Resolution of the Linear Systems Ax = b

  AUTHORS: Mongi Benhamadou

  KEYWORDS: FOM, Krylov Subspace, Hessenberg Matrix, Sturm Sequence, Givens Method

  JOURNAL NAME: Advances in Linear Algebra & Matrix Theory, Vol.4 No.3, September 23, 2014

  ABSTRACT: In this paper, we propose another version of the full orthogonalization method (FOM) for the resolution of linear system Ax = b, based on an extended definition of Sturm sequence in the calculation of the determinant of an upper hessenberg matrix in o(n2). We will also give a new version of Givens method based on using a tensor product and matrix addition. This version can be used in parallel calculation.