A Robust Numerical Path Tracking Algorithm for Polynomial Homotopy Continuation-Reference-Cited by-同舟云学术

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A Robust Numerical Path Tracking Algorithm for Polynomial Homotopy Continuation

Published:2020-01 Issue:6 Volume:42 Page:A3610-A3637
ISSN:1064-8275
Container-title:SIAM Journal on Scientific Computing
language:en
Short-container-title:SIAM J. Sci. Comput.

Author:

Telen Simon,Barel Marc Van,Verschelde Jan

Funder

Funds for Scientific Research

EOS

National Science Foundation

Onderzoeksraad, KU Leuven

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Subject

Applied Mathematics,Computational Mathematics

Link

https://epubs.siam.org/doi/pdf/10.1137/19M1288036

Reference46 articles.

1. Fast and Backward Stable Computation of Roots of Polynomials

2. Adaptive Multiprecision Path Tracking

3. On the location of poles of Padé approximants

4. Algebraic properties of robust Padé approximants

5. Robust Certified Numerical Homotopy Tracking

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2. Validated Numerics for Algebraic Path Tracking;Proceedings of the 2024 International Symposium on Symbolic and Algebraic Computation;2024-07-16

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4. Extrapolating Solution Paths of Polynomial Homotopies Towards Singularities with PHCpack and Phcpy;Lecture Notes in Computer Science;2024

5. GPU Accelerated Newton for Taylor Series Solutions of Polynomial Homotopies in Multiple Double Precision;Lecture Notes in Computer Science;2024

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