Solving p-adic polynomial systems via iterative eigenvector algorithms
LINEAR & MULTILINEAR ALGEBRA（2022）
Abstract
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.
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Key words
p-adic linear algebra, solving polynomial systems, eigenvector algorithms
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