Optimization of the determinant of the Vandermonde matrix and related matrices

DOI10.1007/s11009-017-9595-yzbMath1458.33006OpenAlexW2768562324WikidataQ59612190 ScholiaQ59612190MaRDI QIDQ1739349

Karl Lundengård, Jonas Österberg, Sergei D. Silvestrov

Publication date: 26 April 2019

Published in: Methodology and Computing in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11009-017-9595-y

zbMATH Keywords

optimizationGröbner basisorthogonal polynomialsellipsoidhomogeneous polynomialsVandermonde determinantoptimal experiment design

Mathematics Subject Classification ID

Optimal statistical designs (62K05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Varieties (08B99) Special matrices (15B99)

Uses Software

• Maple

Cites Work

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• Determinants and their applications in mathematical physics
• Extreme points of the Vandermonde determinant on the sphere and some limits involving the generalized Vandermonde determinant
• A general approach to \(D\)-optimal designs for weighted univariate polynomial regression models
• Lagrange Multipliers and Optimality
• Integers, Polynomials, and Rings

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