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Lower bounds by Birkhoff interpolation

  • Published:2017-04 Issue: Volume:39 Page:38-50
  • ISSN:0885-064X
  • Container-title:Journal of Complexity
  • language:en
  • Short-container-title:Journal of Complexity

Author:

García-Marco Ignacio,Koiran Pascal

Publisher

Elsevier BV

Subject

Applied Mathematics,Control and Optimization,Numerical Analysis,Statistics and Probability,Algebra and Number Theory,General Mathematics

Reference21 articles.

1. M. Agrawal, V. Vinay, Arithmetic circuits: A chasm at depth four, in: Proc. 49th IEEE Symposium on Foundations of Computer Science, 2008, pp. 67–75.

2. Polynomial interpolation in several variables;Alexander;J. Algebraic Geom.,1995

3. A partial characterization of poised Hermite–Birkhoff interpolation problems;Atkinson;SIAM J. Numer. Anal.,1969

4. On the Alexander–Hirschowitz theorem;Brambilla;J. Pure Appl. Algebra,2008

5. Condition: The Geometry of Numerical Algorithms;Bürgisser,2013

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1. Optimal Hermite-Fejér interpolation of algebraic polynomials and the best one-sided approximation on the interval [−1,1];Journal of Mathematical Analysis and Applications;2024-08

2. Weighted Sum-of-Squares Lower Bounds for Univariate Polynomials Imply $$\text{VP} \neq \text{VNP}$$;computational complexity;2024-04-16

3. Optimal Birkhoff Interpolation and Birkhoff Numbers in Some Function Spaces;Acta Mathematica Scientia;2022-10-18

4. Reconstruction algorithms for sums of affine powers;Journal of Symbolic Computation;2020-05

5. Polynomial Equivalence Problems for Sum of Affine Powers;Proceedings of the 2018 ACM International Symposium on Symbolic and Algebraic Computation;2018-07-11
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