GMRES préconditionné par une décomposition LDL T perturbée avec un pivotage statique

  • Julie Thonon

    Student thesis: Master typesMaster in Mathematics

    Abstract

    The aim of this work is to study the solution of symmetric indefinite sparse systems of linear equations. The GMRES, right GMRES and FGMRES algorithms are studied and applied to such systems. Furthermore, the multifrontal method is proposed to compute the LDLT decomposition as preconditioner. Finally, the algorithms are numerically tested and a roundoff error analysis is realized to compare the two algorithms right GMRES and FGMRES.
    Date of Award2009
    Original languageFrench
    SupervisorANNICK SARTENAER (Supervisor), Valerie HENRY (Jury) & Suzanne THIRY (Jury)

    Cite this

    GMRES préconditionné par une décomposition LDL T perturbée avec un pivotage statique
    Thonon, J. (Author). 2009

    Student thesis: Master typesMaster in Mathematics