24 citations · 85 across the 39 of their papers we have counts for
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cs.MS2012
Orthogononalization on a general purpose graphics processing unit with double double and quad double arithmetic
Jan Verschelde, Genady Yoffe
Our problem is to accurately solve linear systems on a general purpose graphics processing unit with double double and quad double arithmetic. The linear systems originate from the…
cs.MS2012★ 2 cited
Evaluating polynomials in several variables and their derivatives on a GPU computing processor
Jan Verschelde, Genady Yoffe
In order to obtain more accurate solutions of polynomial systems with numerical continuation methods we use multiprecision arithmetic. Our goal is to offset the overhead of double…
cs.SC2012★ 8 cited
Computing Puiseux Series for Algebraic Surfaces
Danko Adrovic, Jan Verschelde
In this paper we outline an algorithmic approach to compute Puiseux series expansions for algebraic surfaces. The series expansions originate at the intersection of the surface wit…