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Ciarlet, P.G. (1980) Introduction à l’Analyse Numérique Matricielle et à l’Optimisation. Masson, Paris.

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.