A matrix completion problem over integral domains*: thecasewith 2n - 3 prescribed blocks *
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...
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| Lenguaje: | English |
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Universidad Católica del Norte, Departamento de Matemáticas
2014
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oai:scielo:S0716-091720140002000072018-10-30A matrix completion problem over integral domains*: thecasewith 2n - 3 prescribed blocks *Borobia,AlbertoCanogar,RobertoSmigoc,HelenaLet ∧ = {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.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.33 n.2 20142014-06-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172014000200007en10.4067/S0716-09172014000200007 |
| institution |
Scielo Chile |
| collection |
Scielo Chile |
| language |
English |
| description |
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. |
| author |
Borobia,Alberto Canogar,Roberto Smigoc,Helena |
| spellingShingle |
Borobia,Alberto Canogar,Roberto Smigoc,Helena A matrix completion problem over integral domains*: thecasewith 2n - 3 prescribed blocks * |
| author_facet |
Borobia,Alberto Canogar,Roberto Smigoc,Helena |
| author_sort |
Borobia,Alberto |
| title |
A matrix completion problem over integral domains*: thecasewith 2n - 3 prescribed blocks * |
| title_short |
A matrix completion problem over integral domains*: thecasewith 2n - 3 prescribed blocks * |
| title_full |
A matrix completion problem over integral domains*: thecasewith 2n - 3 prescribed blocks * |
| title_fullStr |
A matrix completion problem over integral domains*: thecasewith 2n - 3 prescribed blocks * |
| title_full_unstemmed |
A matrix completion problem over integral domains*: thecasewith 2n - 3 prescribed blocks * |
| title_sort |
matrix completion problem over integral domains*: thecasewith 2n - 3 prescribed blocks * |
| publisher |
Universidad Católica del Norte, Departamento de Matemáticas |
| publishDate |
2014 |
| url |
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172014000200007 |
| work_keys_str_mv |
AT borobiaalberto amatrixcompletionproblemoverintegraldomainsthecasewith2n3prescribedblocks AT canogarroberto amatrixcompletionproblemoverintegraldomainsthecasewith2n3prescribedblocks AT smigochelena amatrixcompletionproblemoverintegraldomainsthecasewith2n3prescribedblocks AT borobiaalberto matrixcompletionproblemoverintegraldomainsthecasewith2n3prescribedblocks AT canogarroberto matrixcompletionproblemoverintegraldomainsthecasewith2n3prescribedblocks AT smigochelena matrixcompletionproblemoverintegraldomainsthecasewith2n3prescribedblocks |
| _version_ |
1718439798568386560 |