3 citations · 3 across the 2 of their papers we have counts for
4 papers
Super-linear convergence in the p-adic QR-algorithm
Avinash Kulkarni, Tristan Vaccon
The QR-algorithm is one of the most important algorithms in linear algebra. Its several variants make feasible the computation of the eigenvalues and eigenvectors of a numerical re…
-adic Integral Geometry
Avinash Kulkarni, Antonio Lerario
We prove a -adic version of the Integral Geometry Formula for averaging the intersection of two -adic projective algebraic sets. We apply this result to give bounds on the nu…
Solving p-adic polynomial systems via iterative eigenvector algorithms
Avinash Kulkarni
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…
An arithmetic invariant theory of curves from
Avinash Kulkarni
Let be a field of characteristic 0, let be a uniquely trigonal genus 4 curve, and let be a simply ramified point of the uniquely trigonal morphism. We constr…