The behavior of symmetric Krylov subspace methods for solving M x= (M - [gamma] I)v (Articolo in rivista)

Type
Label
  • The behavior of symmetric Krylov subspace methods for solving M x= (M - [gamma] I)v (Articolo in rivista) (literal)
Anno
  • 2004-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1016/S0024-3795(03)00487-7 (literal)
Alternative label
  • Simoncini V.; Pennacchio M. (2004)
    The behavior of symmetric Krylov subspace methods for solving M x= (M - [gamma] I)v
    in Linear algebra and its applications; North Holland Pub. Co., Amsterdam (Paesi Bassi)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Simoncini V.; Pennacchio M. (literal)
Pagina inizio
  • 53 (literal)
Pagina fine
  • 71 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 380 (literal)
Rivista
Note
  • Mathematical Reviews on the web (MathSciNet) (literal)
  • Scopu (literal)
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Dipartimento di Matematica, Università di Bologna; Istituto di Matematica Applicata e Tecnologie Informatiche, CNR, Pavia (literal)
Titolo
  • The behavior of symmetric Krylov subspace methods for solving M x= (M - [gamma] I)v (literal)
Abstract
  • We analyze the behavior of Krylov subspace methods for the solution of the symmetric system Mx = (M - gammaI)upsilon when gamma is close to some of the extreme eigenvalues of M. We show that a stagnation phase may occur if the structure of the right-hand side is not taken into account, and we analyze the occurrence and persistence of such stagnation. A natural alternative strategy is proposed and we show that the new approach provides a better approximation, with the same number of matrix-vector multiplications. Numerical experiments are also included. (literal)
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