Numerical Schubert calculus via the Littlewood-Richardson homotopy algorithm
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Publication:5856748
DOI10.1090/mcom/3579zbMath1468.14093arXiv1802.00984OpenAlexW3112764780MaRDI QIDQ5856748
Abraham Martín del Campo, Ravi Vakil, Jan Verschelde, Anton Leykin, Frank J. Sottile
Publication date: 29 March 2021
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1802.00984
Numerical computation of solutions to systems of equations (65H10) Classical problems, Schubert calculus (14N15) Geometric aspects of numerical algebraic geometry (14Q65)
Related Items (2)
Certification for polynomial systems via square subsystems ⋮ Classification of Schubert Galois groups in \(Gr(4, 9)\)
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Cites Work
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- A primal-dual formulation for certifiable computations in Schubert calculus
- A lifted square formulation for certifiable Schubert calculus
- A geometric Littlewood-Richardson rule
- Schubert induction
- Coefficient-parameter polynomial continuation
- Numerical Schubert calculus
- Solving determinantal systems using homotopy techniques
- Numerical algebraic geometry
- Lower bounds in real Schubert calculus
- Real Schubert Calculus: Polynomial Systems and a Conjecture of Shapiro and Shapiro
- Numerical Evidence for a Conjecture in Real Algebraic Geometry
- Double transitivity of Galois groups in Schubert calculus of Grassmannians
- Solving schubert problems with Littlewood-Richardson homotopies
- Feasibility of Interference Alignment for the MIMO Interference Channel
- The Cheater’s Homotopy: An Efficient Procedure for Solving Systems of Polynomial Equations
- Galois groups of Schubert problems via homotopy computation
- Schubert Calculus
- Solving Polynomial Systems Using Continuation for Engineering and Scientific Problems
- Pieri’S Formula Via Explicit Rational Equivalence
- Pieri Homotopies for Problems in Enumerative Geometry Applied to Pole Placement in Linear Systems Control
- Algorithm 795
- Pole Placement by Static Output Feedback for Generic Linear Systems
- Experimentation in the Schubert Calculus
- Numerical Schubert Calculus by the Pieri Homotopy Algorithm
- The Secant Conjecture in the Real Schubert Calculus
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