A matrix completion problem over integral domainsthe case with 2n — 3 prescribed blocks

  1. Borobia, Alberto 1
  2. Canogar, Roberto 1
  3. Smigoc, Helena 2
  1. 1 Universidad Nacional de Educación a Distancia
    info

    Universidad Nacional de Educación a Distancia

    Madrid, España

    ROR https://ror.org/02msb5n36

  2. 2 University College Dublin.
Zeitschrift:
Proyecciones: Journal of Mathematics

ISSN: 0716-0917,  0717-6279

Datum der Publikation: 2014

Ausgabe: 33

Nummer: 2

Seiten: 215-233

Art: Artikel

DOI: 10.4067/S0716-09172014000200007 DIALNET GOOGLE SCHOLAR lock_openOpen Access editor

Andere Publikationen in: Proyecciones: Journal of Mathematics

Zusammenfassung

Let ∧ = {λ1,...,λnk} be amultisetofelements ofanintegral domain R.Let P be a partially prescribed n X n block matrix such that each prescribed entry is a k—block (a k X k matrix over R). If P has at most 2n — 3 prescribed entries then the unprescribed entries of P can be filled with k—blocks to obtain a matrix over R with spectrum ∧ (some natural conditions on the prescribed entries are required). We describe an algorithm to construct such completion.

Bibliographische Referenzen

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