24 citations · 85 across the 39 of their papers we have counts for
44 papers
Extrapolating Solution Paths of Polynomial Homotopies towards Singularities with PHCpack and phcpy
Jan Verschelde, Kylash Viswanathan
PHCpack is a software package for polynomial homotopy continuation, which provides a robust path tracker [Telen, Van Barel, Verschelde, SISC 2020]. This tracker computes the radius…
Extrapolating on Taylor Series Solutions of Homotopies with Nearby Poles
Jan Verschelde, Kylash Viswanathan
A polynomial homotopy is a family of polynomial systems in one parameter, which defines solution paths starting from known solutions and ending at solutions of a system that has to…
GPU Accelerated Newton for Taylor Series Solutions of Polynomial Homotopies in Multiple Double Precision
Jan Verschelde
A polynomial homotopy is a family of polynomial systems, typically in one parameter . Our problem is to compute power series expansions of the coordinates of the solutions in th…
Exporting Ada Software to Python and Julia
Jan Verschelde
The objective is to demonstrate the making of Ada software available to Python and Julia programmers using GPRbuild. GPRbuild is the project manager of the GNAT toolchain. With GPR…
Locating the Closest Singularity in a Polynomial Homotopy
Jan Verschelde, Kylash Viswanathan
A polynomial homotopy is a family of polynomial systems, where the systems in the family depend on one parameter. If for one value of the parameter we know a regular solution, then…
Least Squares on GPUs in Multiple Double Precision
Jan Verschelde
This paper describes the application of the code generated by the CAMPARY software to accelerate the solving of linear systems in the least squares sense on Graphics Processing Uni…