Multilinear polynomial systems: Root isolation and bit complexity

Author:

Emiris Ioannis Z.,Mantzaflaris Angelos,Tsigaridas Elias P.

Funder

ANR

PGMO

PHC

Publisher

Elsevier BV

Subject

Computational Mathematics,Algebra and Number Theory

Reference56 articles.

1. Algorithms in algebraic geometry and applications;Alonso,1996

2. Output-sensitive algorithms for sumset and sparse polynomial multiplication;Arnold,2015

3. Bilinear systems with two supports: Koszul resultant matrices, eigenvalues, and eigenvectors;Bender,2018

4. Tellegen's principle into practice;Bostan,2003

5. Fast algorithms for zero-dimensional polynomial systems using duality;Bostan;Appl. Algebra Eng. Commun. Comput.,2003

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1. Solving Sparse Polynomial Systems using Gröbner Bases and Resultants;Proceedings of the 2022 International Symposium on Symbolic and Algebraic Computation;2022-07-04

2. The Canny–Emiris Conjecture for the Sparse Resultant;Foundations of Computational Mathematics;2022-03-30

3. Koszul-Type Determinantal Formulas for Families of Mixed Multilinear Systems;SIAM Journal on Applied Algebra and Geometry;2021-01

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