Solving p-adic Polynomial Systems via Iterative Eigenvector Algorithms.
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Submission date: 14. Jul. 2019
MSC-Numbers: 15A18, 11S05
Keywords and phrases: p-adic linear algebra, solving polynomial systems, eigenvector algorithms
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In this article, we describe an implementation of a polynomial system solver to compute the approximate solutions of a 0-dimensional polynomial system with finite precision p-adic arithmetic. We also describe an improvement to an algorithm of Caruso, Roe, and Vaccon for calculating the eigenvalues and eigenvectors of a p-adic matrix.