Direct global Lanczos method for large linear systems with multiple right-hand sides

  • S. Elgharbi
  • M. EsghirEmail author
  • O. Ibrihich
  • B. Abouzaid
  • M. Essaouini
  • S. El Hajji


The present paper presents a new variant of global nonsymmetric Lanczos method for solving nonsymmetric linear large systems with multiple right-hand sides. Numerical experiments are reported to illustrate the behavior and the efficiency of our proposed method.


Global iterative methods Global Lanczos process Nonsymmetric linear systems Multiple right-hand sides Schur complement 

Mathematics Subject Classification

65F10 65F25 



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Copyright information

© African Mathematical Union and Springer-Verlag GmbH Deutschland, ein Teil von Springer Nature 2018

Authors and Affiliations

  • S. Elgharbi
    • 1
  • M. Esghir
    • 1
    Email author
  • O. Ibrihich
    • 2
  • B. Abouzaid
    • 3
  • M. Essaouini
    • 4
  • S. El Hajji
    • 1
  1. 1.Laboratory of Mathematics, Computing and Applications, Faculty of SciencesMohammed V University in RabatRabatMorocco
  2. 2.Département de Génie réseaux et Télécommunications, Ecole Nationale des Sciences Appliquées de KhouribgaHassan I University in SettatSettatMorocco
  3. 3.Ecole Nationale des Sciences Appliquées d’El JadidaChouaib Doukkali University in El JadidaEl JadidaMorocco
  4. 4.Faculty of SciencesChouaib Doukkali University in El JadidaEl JadidaMorocco

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