A primal-dual formulation for certifiable computations in Schubert calculus
From MaRDI portal
Publication:330099
DOI10.1007/s10208-015-9270-zzbMath1360.14126arXiv1406.0864OpenAlexW2164322540MaRDI QIDQ330099
Jonathan D. Hauenstein, Nickolas Hein, Frank J. Sottile
Publication date: 24 October 2016
Published in: Foundations of Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1406.0864
Numerical computation of solutions to systems of equations (65H10) Effectivity, complexity and computational aspects of algebraic geometry (14Q20) Classical problems, Schubert calculus (14N15)
Related Items (4)
Certification for polynomial systems via square subsystems ⋮ Classification of Schubert Galois groups in \(Gr(4, 9)\) ⋮ A lifted square formulation for certifiable Schubert calculus ⋮ Numerical Schubert calculus via the Littlewood-Richardson homotopy algorithm
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Complexity of path-following methods for the eigenvalue problem
- Lower bounds for numbers of real solutions in problems of Schubert calculus
- The B. and M. Shapiro conjecture in real algebraic geometry and the Bethe ansatz
- Numerical Schubert calculus
- Rational functions with real critical points and the B. and M. Shapiro conjecture in real enumerative geometry
- Robust certified numerical homotopy tracking
- Lower bounds in real Schubert calculus
- Real Schubert Calculus: Polynomial Systems and a Conjecture of Shapiro and Shapiro
- The Monotone Secant Conjecture in the Real Schubert Calculus
- Certified Numerical Homotopy Tracking
- Solving schubert problems with Littlewood-Richardson homotopies
- Algorithm 921
- Galois groups of Schubert problems via homotopy computation
- Schubert calculus and representations of the general linear group
- Experimentation and Conjectures in the Real Schubert Calculus for Flag Manifolds
- An a posteriori certification algorithm for Newton homotopies
- Complexity of Bezout's Theorem I: Geometric Aspects
- COMPLEXITY AND REAL COMPUTATION: A MANIFESTO
- Experimentation in the Schubert Calculus
- Multihomogeneous Newton methods
- The Secant Conjecture in the Real Schubert Calculus
- The Numerical Solution of Systems of Polynomials Arising in Engineering and Science
- Frontiers of reality in Schubert calculus
This page was built for publication: A primal-dual formulation for certifiable computations in Schubert calculus