The Solution of the Lambda Modes Problem Using Block Iterative Eigensolvers

  • A. Carreño
  • A. Vidal-Ferràndiz
  • D. Ginestar
  • G. Verdú
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10861)


High efficient methods are required for the computation of several lambda modes associated with the neutron diffusion equation. Multiple iterative eigenvalue solvers have been used to solve this problem. In this work, three different block methods are studied to solve this problem. The first method is a procedure based on the modified block Newton method. The second one is a procedure based on subspace iteration and accelerated with Chebyshev polynomials. Finally, a block inverse-free Krylov subspace method is analyzed with different preconditioners. Two benchmark problems are studied illustrating the convergence properties and the effectiveness of the methods proposed.


Neutron diffusion equation Eigenvalue problem Lambda modes Block method 



This work has been partially supported by Spanish Ministerio de Economía y Competitividad under projects ENE2017-89029-P, MTM2017-85669-P and BES-2015-072901.


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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  • A. Carreño
    • 1
  • A. Vidal-Ferràndiz
    • 1
  • D. Ginestar
    • 2
  • G. Verdú
    • 1
  1. 1.Instituto Universitario de Seguridad Industrial, Radiofísica y MedioambientalUniversitat Politècnica de ValènciaValènciaSpain
  2. 2.Instituto Universitario de Matemática MultidisciplinarUniversitat Politècnica de ValènciaValènciaSpain

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