| dc.creator | Massri, Cesar Dario | |
| dc.date.accessioned | 2017-06-26T15:40:03Z | |
| dc.date.available | 2017-06-26T15:40:03Z | |
| dc.date.created | 2017-06-26T15:40:03Z | |
| dc.date.issued | 2015-04 | |
| dc.identifier | Massri, Cesar Dario; Solving a sparse system using linear algebra; Elsevier; Journal Of Symbolic Computation; 73; 4-2015; 157-174 | |
| dc.identifier | 0747-7171 | |
| dc.identifier | http://hdl.handle.net/11336/18860 | |
| dc.identifier | CONICET Digital | |
| dc.identifier | CONICET | |
| dc.description.abstract | We give a new theoretical tool to solve sparse systems with finitely many solutions. It is based on toric varieties and basic linear algebra; eigenvalues, eigenvectors and coefficient matrices. We adapt Eigenvalue theorem and Eigenvector theorem to work with a canonical rectangular matrix (the first Koszul map) and prove that these new theorems serve to solve overdetermined sparse systems and to count the expected number of solutions. | |
| dc.language | eng | |
| dc.publisher | Elsevier | |
| dc.relation | info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.jsc.2015.06.003 | |
| dc.relation | info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0747717115000449 | |
| dc.relation | info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1211.3715 | |
| dc.rights | https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.subject | Multiplication Matrix | |
| dc.subject | Eigenvector | |
| dc.subject | Sparse System | |
| dc.subject | Toric Varieties | |
| dc.title | Solving a sparse system using linear algebra | |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:ar-repo/semantics/artículo | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
