Dissertation/Thesis
Numerical computation of minimal polynomial bases: A generalized resultant approach
| Τίτλος: | Numerical computation of minimal polynomial bases: A generalized resultant approach |
|---|---|
| Συγγραφείς: | E. N. Antoniou, A. I. G. Vardulakis, S. Vologiannidis |
| Συνεισφορές: | The Pennsylvania State University CiteSeerX Archives |
| Πηγή: | http://anadrasis.web.auth.gr/santo/Journals/LAA05.pdf. |
| Συλλογή: | CiteSeerX |
| Θεματικοί όροι: | polynomial matrices, Minimal polynomial basis, Matrix fraction description. AMS classi…cation, 15A33, 15A23, 65F30 |
| Περιγραφή: | We propose a new algorithm for the computation of a minimal polynomial basis of the left kernel of a given polynomial matrix F (s): The proposed method exploits the structure of the left null space of generalized Wolovich or Sylvester resultants to compute row polynomial vectors that form a minimal polynomial basis of left kernel of the given polynomial matrix. The entire procedure can be implemented using only orthogonal transformations of constant matrices and results to a minimal basis with orthonormal coe ¢ cients. |
| Τύπος εγγράφου: | Thesis |
| Περιγραφή αρχείου: | application/pdf |
| Γλώσσα: | English |
| Relation: | http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.332.8397; http://anadrasis.web.auth.gr/santo/Journals/LAA05.pdf |
| Διαθεσιμότητα: | http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.332.8397 http://anadrasis.web.auth.gr/santo/Journals/LAA05.pdf |
| Rights: | Metadata may be used without restrictions as long as the oai identifier remains attached to it. |
| Αριθμός Καταχώρησης: | edsbas.D5BFECCF |
| Βάση Δεδομένων: | BASE |
| FullText | Text: Availability: 0 CustomLinks: – Url: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.332.8397# Name: EDS - BASE (ns324271) Category: fullText Text: View record from BASE |
|---|---|
| Header | DbId: edsbas DbLabel: BASE An: edsbas.D5BFECCF RelevancyScore: 672 AccessLevel: 3 PubType: Dissertation/Thesis PubTypeId: unknown PreciseRelevancyScore: 671.999938964844 |
| IllustrationInfo | |
| Items | – Name: Title Label: Title Group: Ti Data: Numerical computation of minimal polynomial bases: A generalized resultant approach – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22E%2E+N%2E+Antoniou%22">E. N. Antoniou</searchLink><br /><searchLink fieldCode="AR" term="%22A%2E+I%2E+G%2E+Vardulakis%22">A. I. G. Vardulakis</searchLink><br /><searchLink fieldCode="AR" term="%22S%2E+Vologiannidis%22">S. Vologiannidis</searchLink> – Name: Author Label: Contributors Group: Au Data: The Pennsylvania State University CiteSeerX Archives – Name: TitleSource Label: Source Group: Src Data: <i>http://anadrasis.web.auth.gr/santo/Journals/LAA05.pdf</i>. – Name: Subset Label: Collection Group: HoldingsInfo Data: CiteSeerX – Name: Subject Label: Subject Terms Group: Su Data: <searchLink fieldCode="DE" term="%22polynomial+matrices%22">polynomial matrices</searchLink><br /><searchLink fieldCode="DE" term="%22Minimal+polynomial+basis%22">Minimal polynomial basis</searchLink><br /><searchLink fieldCode="DE" term="%22Matrix+fraction+description%2E+AMS+classi…cation%22">Matrix fraction description. AMS classi…cation</searchLink><br /><searchLink fieldCode="DE" term="%2215A33%22">15A33</searchLink><br /><searchLink fieldCode="DE" term="%2215A23%22">15A23</searchLink><br /><searchLink fieldCode="DE" term="%2265F30%22">65F30</searchLink> – Name: Abstract Label: Description Group: Ab Data: We propose a new algorithm for the computation of a minimal polynomial basis of the left kernel of a given polynomial matrix F (s): The proposed method exploits the structure of the left null space of generalized Wolovich or Sylvester resultants to compute row polynomial vectors that form a minimal polynomial basis of left kernel of the given polynomial matrix. The entire procedure can be implemented using only orthogonal transformations of constant matrices and results to a minimal basis with orthonormal coe ¢ cients. – Name: TypeDocument Label: Document Type Group: TypDoc Data: Thesis – Name: Format Label: File Description Group: SrcInfo Data: application/pdf – Name: Language Label: Language Group: Lang Data: English – Name: NoteTitleSource Label: Relation Group: SrcInfo Data: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.332.8397; http://anadrasis.web.auth.gr/santo/Journals/LAA05.pdf – Name: URL Label: Availability Group: URL Data: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.332.8397<br />http://anadrasis.web.auth.gr/santo/Journals/LAA05.pdf – Name: Copyright Label: Rights Group: Cpyrght Data: Metadata may be used without restrictions as long as the oai identifier remains attached to it. – Name: AN Label: Accession Number Group: ID Data: edsbas.D5BFECCF |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsbas&AN=edsbas.D5BFECCF |
| RecordInfo | BibRecord: BibEntity: Languages: – Text: English Subjects: – SubjectFull: polynomial matrices Type: general – SubjectFull: Minimal polynomial basis Type: general – SubjectFull: Matrix fraction description. AMS classi…cation Type: general – SubjectFull: 15A33 Type: general – SubjectFull: 15A23 Type: general – SubjectFull: 65F30 Type: general Titles: – TitleFull: Numerical computation of minimal polynomial bases: A generalized resultant approach Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: E. N. Antoniou – PersonEntity: Name: NameFull: A. I. G. Vardulakis – PersonEntity: Name: NameFull: S. Vologiannidis – PersonEntity: Name: NameFull: The Pennsylvania State University CiteSeerX Archives IsPartOfRelationships: – BibEntity: Identifiers: – Type: issn-locals Value: edsbas – Type: issn-locals Value: edsbas.oa Titles: – TitleFull: http://anadrasis.web.auth.gr/santo/Journals/LAA05.pdf Type: main |
| ResultId | 1 |