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arXiv · 1211.3715

Solving a sparse systems using linear algebra

César Massri
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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.

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César Massri. 2012-11-15. Solving a sparse systems using linear algebra. https://arxiv.org/abs/1211.3715

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