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- Publisher Website: 10.1016/S0019-3577(08)80026-2
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Article: Embedding polynomial matrices of one variable
| Title | Embedding polynomial matrices of one variable |
|---|---|
| Authors | |
| Keywords | Forney sequence Minimal basis Polynomial matrix Saturated module Vector bundles on the projective line |
| Issue Date | 23-Sep-2009 |
| Publisher | Elsevier |
| Citation | Indagationes Mathematicae, 2008, v. 19, n. 4, p. 643-648 How to Cite? |
| Abstract | A non square matrix with coefficients in K[z] can (if a condition on its minors is satisfied) be embedded into a square matrix with determinant 1. Finding theoretically and in an algorithmic way an embedding of small degree is solved by a construction with vector bundles on the projective line over K. |
| Persistent Identifier | http://hdl.handle.net/10722/357121 |
| ISSN | 2023 Impact Factor: 0.5 2023 SCImago Journal Rankings: 0.447 |
| ISI Accession Number ID |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Van der Put, Marius | - |
| dc.contributor.author | Tsang, Fai Lung | - |
| dc.date.accessioned | 2025-06-23T08:53:29Z | - |
| dc.date.available | 2025-06-23T08:53:29Z | - |
| dc.date.issued | 2009-09-23 | - |
| dc.identifier.citation | Indagationes Mathematicae, 2008, v. 19, n. 4, p. 643-648 | - |
| dc.identifier.issn | 0019-3577 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/357121 | - |
| dc.description.abstract | <p>A non square matrix with coefficients in <em>K</em>[z] can (if a condition on its minors is satisfied) be embedded into a square matrix with determinant 1. Finding theoretically and in an algorithmic way an embedding of small degree is solved by a construction with vector bundles on the projective line over <em>K</em>.<br></p> | - |
| dc.language | eng | - |
| dc.publisher | Elsevier | - |
| dc.relation.ispartof | Indagationes Mathematicae | - |
| dc.rights | This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License. | - |
| dc.subject | Forney sequence | - |
| dc.subject | Minimal basis | - |
| dc.subject | Polynomial matrix | - |
| dc.subject | Saturated module | - |
| dc.subject | Vector bundles on the projective line | - |
| dc.title | Embedding polynomial matrices of one variable | - |
| dc.type | Article | - |
| dc.identifier.doi | 10.1016/S0019-3577(08)80026-2 | - |
| dc.identifier.scopus | eid_2-s2.0-70349201293 | - |
| dc.identifier.volume | 19 | - |
| dc.identifier.issue | 4 | - |
| dc.identifier.spage | 643 | - |
| dc.identifier.epage | 648 | - |
| dc.identifier.isi | WOS:000268944700010 | - |
| dc.identifier.issnl | 0019-3577 | - |