Pentadiagonal Companion Matrices
| Autor: | Brydon Eastman, Kevin N. Vander Meulen |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
zeros of polynomials
Algebra and Number Theory 010102 general mathematics pentadiagonal matrices Companion matrices Fiedler companion matrices 010103 numerical & computational mathematics algorithms 01 natural sciences Hessenberg matrices Algebra companion matrices Pentadiagonal matrix QA1-939 Astrophysics::Solar and Stellar Astrophysics Astrophysics::Earth and Planetary Astrophysics Geometry and Topology 0101 mathematics Mathematics |
| Zdroj: | Special Matrices, Vol 4, Iss 1 (2016) |
| ISSN: | 2300-7451 |
| DOI: | 10.1515/spma-2016-0003 |
| Popis: | The class of sparse companion matrices was recently characterized in terms of unit Hessenberg matrices. We determine which sparse companion matrices have the lowest bandwidth, that is, we characterize which sparse companion matrices are permutationally similar to a pentadiagonal matrix and describe how to find the permutation involved. In the process, we determine which of the Fiedler companion matrices are permutationally similar to a pentadiagonal matrix. We also describe how to find a Fiedler factorization, up to transpose, given only its corner entries. |
| Databáze: | OpenAIRE |
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