Average conditioning of underdetermined polynomial systems
Resumen:
This article study the average conditioning for a random underdetermined polynomial system. The expected value of the moments of the condition number are compared to the moments of the condition number of random matrices. An expression for these moments is given by studying the kernel finding problem for random matrices. Furthermore, the second moment of the Frobenius condition number is computed.
| 2023 | |
| Numerical Analysis | |
| Inglés | |
| Universidad de la República | |
| COLIBRI | |
| https://hdl.handle.net/20.500.12008/43927 | |
| Acceso abierto | |
| Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
| _version_ | 1807522809861111808 |
|---|---|
| author | Carrasco, Federico |
| author_facet | Carrasco, Federico |
| author_role | author |
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| collection | COLIBRI |
| dc.contributor.filiacion.none.fl_str_mv | Carrasco Federico, Universidad de la República (Uruguay). Facultad de Ciencias. Centro de Matemática |
| dc.creator.none.fl_str_mv | Carrasco, Federico |
| dc.date.accessioned.none.fl_str_mv | 2024-05-28T17:22:59Z |
| dc.date.available.none.fl_str_mv | 2024-05-28T17:22:59Z |
| dc.date.issued.none.fl_str_mv | 2023 |
| dc.description.abstract.none.fl_txt_mv | This article study the average conditioning for a random underdetermined polynomial system. The expected value of the moments of the condition number are compared to the moments of the condition number of random matrices. An expression for these moments is given by studying the kernel finding problem for random matrices. Furthermore, the second moment of the Frobenius condition number is computed. |
| dc.description.es.fl_txt_mv | Versión permitida preprint. |
| dc.format.extent.es.fl_str_mv | 18 p. |
| dc.format.mimetype.es.fl_str_mv | application/pdf |
| dc.identifier.citation.es.fl_str_mv | Carrasco , F. "Average conditioning of underdetermined polynomial systems".[Preprint]. Publicado en: Mathematics (Numerical Analysis). 2023, arXiv: 2305.05965, Ago 2023, pp 1-18. DOI: 10.48550/arXiv.2305.05965 |
| dc.identifier.doi.none.fl_str_mv | 10.48550/arXiv.2305.05965 |
| dc.identifier.uri.none.fl_str_mv | https://hdl.handle.net/20.500.12008/43927 |
| dc.language.iso.none.fl_str_mv | en eng |
| dc.publisher.es.fl_str_mv | arXiv |
| dc.relation.ispartof.es.fl_str_mv | Mathematics (Numerical Analysis), arXiv: 2305.05965, ago. 2023, pp 1-18 |
| dc.rights.license.none.fl_str_mv | Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
| dc.rights.none.fl_str_mv | info:eu-repo/semantics/openAccess |
| dc.source.none.fl_str_mv | reponame:COLIBRI instname:Universidad de la República instacron:Universidad de la República |
| dc.subject.es.fl_str_mv | Numerical Analysis |
| dc.title.none.fl_str_mv | Average conditioning of underdetermined polynomial systems |
| dc.type.es.fl_str_mv | Preprint |
| dc.type.none.fl_str_mv | info:eu-repo/semantics/preprint |
| dc.type.version.none.fl_str_mv | info:eu-repo/semantics/submittedVersion |
| description | Versión permitida preprint. |
| eu_rights_str_mv | openAccess |
| format | preprint |
| id | COLIBRI_5d004f6ebbd963f65eb89f6c72f245cc |
| identifier_str_mv | Carrasco , F. "Average conditioning of underdetermined polynomial systems".[Preprint]. Publicado en: Mathematics (Numerical Analysis). 2023, arXiv: 2305.05965, Ago 2023, pp 1-18. DOI: 10.48550/arXiv.2305.05965 10.48550/arXiv.2305.05965 |
| instacron_str | Universidad de la República |
| institution | Universidad de la República |
| instname_str | Universidad de la República |
| language | eng |
| language_invalid_str_mv | en |
| network_acronym_str | COLIBRI |
| network_name_str | COLIBRI |
| oai_identifier_str | oai:colibri.udelar.edu.uy:20.500.12008/43927 |
| publishDate | 2023 |
| reponame_str | COLIBRI |
| repository.mail.fl_str_mv | mabel.seroubian@seciu.edu.uy |
| repository.name.fl_str_mv | COLIBRI - Universidad de la República |
| repository_id_str | 4771 |
| rights_invalid_str_mv | Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
| spelling | Carrasco Federico, Universidad de la República (Uruguay). Facultad de Ciencias. Centro de Matemática2024-05-28T17:22:59Z2024-05-28T17:22:59Z2023Carrasco , F. "Average conditioning of underdetermined polynomial systems".[Preprint]. Publicado en: Mathematics (Numerical Analysis). 2023, arXiv: 2305.05965, Ago 2023, pp 1-18. DOI: 10.48550/arXiv.2305.05965https://hdl.handle.net/20.500.12008/4392710.48550/arXiv.2305.05965Versión permitida preprint.This article study the average conditioning for a random underdetermined polynomial system. The expected value of the moments of the condition number are compared to the moments of the condition number of random matrices. An expression for these moments is given by studying the kernel finding problem for random matrices. Furthermore, the second moment of the Frobenius condition number is computed.Submitted by Egaña Florencia (florega@gmail.com) on 2024-05-28T13:50:08Z No. of bitstreams: 2 license_rdf: 25790 bytes, checksum: 489f03e71d39068f329bdec8798bce58 (MD5) 2305.05965v2.pdf: 161786 bytes, checksum: cfe15d2dc1da2df9ef205536ffba4be3 (MD5)Approved for entry into archive by Faget Cecilia (lfaget@fcien.edu.uy) on 2024-05-28T13:53:11Z (GMT) No. of bitstreams: 2 license_rdf: 25790 bytes, checksum: 489f03e71d39068f329bdec8798bce58 (MD5) 2305.05965v2.pdf: 161786 bytes, checksum: cfe15d2dc1da2df9ef205536ffba4be3 (MD5)Made available in DSpace by Luna Fabiana (fabiana.luna@seciu.edu.uy) on 2024-05-28T17:22:59Z (GMT). No. of bitstreams: 2 license_rdf: 25790 bytes, checksum: 489f03e71d39068f329bdec8798bce58 (MD5) 2305.05965v2.pdf: 161786 bytes, checksum: cfe15d2dc1da2df9ef205536ffba4be3 (MD5) Previous issue date: 202318 p.application/pdfenengarXivMathematics (Numerical Analysis), arXiv: 2305.05965, ago. 2023, pp 1-18Las obras depositadas en el Repositorio se rigen por la Ordenanza de los Derechos de la Propiedad Intelectual de la Universidad de la República.(Res. Nº 91 de C.D.C. de 8/III/1994 – D.O. 7/IV/1994) y por la Ordenanza del Repositorio Abierto de la Universidad de la República (Res. Nº 16 de C.D.C. de 07/10/2014)info:eu-repo/semantics/openAccessLicencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)Numerical AnalysisAverage conditioning of underdetermined polynomial systemsPreprintinfo:eu-repo/semantics/preprintinfo:eu-repo/semantics/submittedVersionreponame:COLIBRIinstname:Universidad de la Repúblicainstacron:Universidad de la RepúblicaCarrasco, FedericoLICENSElicense.txtlicense.txttext/plain; charset=utf-84267http://localhost:8080/xmlui/bitstream/20.500.12008/43927/5/license.txt6429389a7df7277b72b7924fdc7d47a9MD55CC-LICENSElicense_urllicense_urltext/plain; charset=utf-850http://localhost:8080/xmlui/bitstream/20.500.12008/43927/2/license_urla006180e3f5b2ad0b88185d14284c0e0MD52license_textlicense_texttext/html; charset=utf-822465http://localhost:8080/xmlui/bitstream/20.500.12008/43927/3/license_text6d6e490f4468ecf5055a84af48d45653MD53license_rdflicense_rdfapplication/rdf+xml; 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- Universidad de la Repúblicafalse |
| spellingShingle | Average conditioning of underdetermined polynomial systems Carrasco, Federico Numerical Analysis |
| status_str | submittedVersion |
| title | Average conditioning of underdetermined polynomial systems |
| title_full | Average conditioning of underdetermined polynomial systems |
| title_fullStr | Average conditioning of underdetermined polynomial systems |
| title_full_unstemmed | Average conditioning of underdetermined polynomial systems |
| title_short | Average conditioning of underdetermined polynomial systems |
| title_sort | Average conditioning of underdetermined polynomial systems |
| topic | Numerical Analysis |
| url | https://hdl.handle.net/20.500.12008/43927 |
