A note on the representation and definition of semiseparable matrices (Articolo in rivista)

Type
Label
  • A note on the representation and definition of semiseparable matrices (Articolo in rivista) (literal)
Anno
  • 2005-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1002/nla.455 (literal)
Alternative label
  • Raf Vandebril; Marc Van Barel; Nicola Mastronardi (2005)
    A note on the representation and definition of semiseparable matrices
    in Numerical linear algebra with applications
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Raf Vandebril; Marc Van Barel; Nicola Mastronardi (literal)
Pagina inizio
  • 839 (literal)
Pagina fine
  • 858 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 12 (literal)
Rivista
Note
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Department of Computer Science, Katholieke Universiteit Leuven, Celestijnenlaan 200A B-3001 Leuven, Belgio; Department of Computer Science, Katholieke Universiteit Leuven, Celestijnenlaan 200A B-3001 Leuven, Belgio; Istituto per le Applicazioni del Calcolo, CNR, via Amendola 122/D, 70126, Bari, Italia (literal)
Titolo
  • A note on the representation and definition of semiseparable matrices (literal)
Abstract
  • In this paper the definition of semiseparable matrices is investigated. Properties of the frequently used definition and the corresponding representation by generators are deduced. Corresponding to the class of tridiagonal matrices another definition of semiseparable matrices is introduced preserving the nice properties dual to the class of tridiagonal matrices. Several theorems and properties are included showing the viability of this alternative definition. Because of the alternative definition, the standard representation of semiseparable matrices is not satisfying anymore. The concept of a representation is explicitly formulated and a new kind of representation corresponding to the alternative definition is given. It is proved that this representation keeps all the interesting properties of the generator representation. (literal)
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