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01/30/2023
GPU Accelerated Newton for Taylor Series Solutions of Polynomial Homotopies in Multiple Double Precision
A polynomial homotopy is a family of polynomial systems, typically in on...
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06/28/2022
Exporting Ada Software to Python and Julia
The objective is to demonstrate the making of Ada software available to ...
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05/15/2022
Locating the Closest Singularity in a Polynomial Homotopy
A polynomial homotopy is a family of polynomial systems, where the syste...
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10/15/2021
Least Squares on GPUs in Multiple Double Precision
This paper describes the application of the code generated by the CAMPAR...
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01/22/2021
Accelerated Polynomial Evaluation and Differentiation at Power Series in Multiple Double Precision
The problem is to evaluate a polynomial in several variables and its gra...
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12/11/2020
Parallel Software to Offset the Cost of Higher Precision
Hardware double precision is often insufficient to solve large scientifi...
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02/21/2020
Robust Numerical Tracking of One Path of a Polynomial Homotopy on Parallel Shared Memory Computers
We consider the problem of tracking one solution path defined by a polyn...
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09/11/2019
A Robust Numerical Path Tracking Algorithm for Polynomial Homotopy Continuation
We propose a new algorithm for numerical path tracking in polynomial hom...
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06/28/2019
Solving Polynomial Systems with phcpy
The solutions of a system of polynomials in several variables are often ...
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04/11/2018
A Blackbox Polynomial System Solver on Parallel Shared Memory Computers
A numerical irreducible decomposition for a polynomial system provides r...
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05/01/2017
Computing Tropical Prevarieties in Parallel
The computation of the tropical prevariety is the first step in the appl...
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12/15/2016
The Method of Gauss-Newton to Compute Power Series Solutions of Polynomial Homotopies
We consider the extension of the method of Gauss-Newton from complex flo...
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06/17/2016