Markus Schweighofer
- Algorithms for Weighted Sums of Squares Decomposition of Non-negative Univariate Polynomials
2017/06/13 by Victor Magron, Mohab Safey El Din, Magron, Victor +3 · 3 citations
Computer Science · Mathematics · #Advanced Optimization Algorithms Research #FOS: Computer and information sciences #Iterative Methods for Nonlinear Equations #Polynomial and algebraic computation #Symbolic Computation (cs.SC)
- Optimization approaches to quadrature: new characterizations of Gaussian\n quadrature on the line and quadrature with few nodes on plane algebraic\n curves, on the plane and in higher dimensions
2016/07/28 by Cordian Riener, Markus Schweighofer, Riener, Cordian +1 · 2 citations
Mathematics · #14H50 #14P05 (Secondary) #65D32 (Primary) #Algebraic Geometry (math.AG) #FOS: Mathematics #Iterative Methods for Nonlinear Equations #Mathematical Approximation and Integration #Mathematical functions and polynomials #Numerical Analysis (math.NA) #Optimization and Control (math.OC)
- Global optimization of polynomials using gradient tentacles and sums of squares
2005/11/24 by Markus Schweighofer, Schweighofer, Markus · 1 citation
Computer Science · Mathematics · #13J30 #90C26 #Advanced Optimization Algorithms Research #Algebraic Geometry (math.AG) #Commutative Algebra and Its Applications #FOS: Mathematics #Optimization and Control (math.OC) #Polynomial and algebraic computation
- A note on the representation of positive polynomials with structured sparsity
2006/11/16 by David Grimm, Tim Netzer, Grimm, David +3 · 1 citation
Decision Sciences · Engineering · Mathematics · #11E25 #13J30 #14P10 #Advanced Control Systems Optimization #Advanced Optimization Algorithms Research #Algebraic Geometry (math.AG) #FOS: Mathematics #Optimization and Control (math.OC) #Probabilistic and Robust Engineering Design
- Pure states, nonnegative polynomials and sums of squares
2009/05/26 by Sabine Burgdorf, Claus Scheiderer, Burgdorf, Sabine +3 · 1 citation
Mathematics · Computer Science · #Advanced Topics in Algebra #Polynomial and algebraic computation #Algebraic structures and combinatorial models
- Sum-of-squares certificates for copositivity via test states
2023/10/19 by Markus Schweighofer, Schweighofer, Markus, Luis Felipe Vargas +1 · 2 citations
Mathematics · #05C31 #05C69 #13J30 15Bxx #14P10 #90C22 #90C23 #90C27 #Advanced Optimization Algorithms Research #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #FOS: Mathematics #Rings and Algebras (math.RA)
- Exact SOHS decompositions of trigonometric univariate polynomials with Gaussian coefficients
2022/02/14 by Victor Magron, Magron, Victor, Mohab Safey El Din +5 · 1 citation
Computer Science · Mathematics · #Digital Filter Design and Implementation #FOS: Computer and information sciences #FOS: Mathematics #Mathematical Analysis and Transform Methods #Numerical Methods and Algorithms #Optimization and Control (math.OC) #Symbolic Computation (cs.SC)