A matrix completion problem over integral domains: the case with 2n — 3 prescribed blocks

• Borobia, Alberto ^[1] ; Canogar, Roberto ^[1] ; Smigoc, Helena ^[2]
  1. [1] Universidad Nacional de Educación a Distancia

     Universidad Nacional de Educación a Distancia

     Madrid, España

     
  2. [2] University College Dublin

     University College Dublin

     Irlanda

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 33, Nº. 2, 2014, págs. 215-233
• Idioma: inglés
• DOI: 10.4067/S0716-09172014000200007
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• Resumen

  • 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.

• Referencias bibliográficas
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