A note on the maximization of matrix valued Hankel determinants with applications
DOI10.1016/j.cam.2004.09.012zbMath1081.15002OpenAlexW4240139339MaRDI QIDQ1763764
William J. Studden, Dette, Holger
Publication date: 22 February 2005
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2004.09.012
orthogonal polynomialsHankel matrixmatrix measuresspring balance weighing designsapproximate optimal designs
Optimal statistical designs (62K05) Determinants, permanents, traces, other special matrix functions (15A15) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)
Related Items (3)
Cites Work
- Ratio asymptotics for orthogonal matrix polynomials
- \(D_s\)-optimal designs for polynomial regression using continued fractions
- Polynomial interpolation and Gaussian quadrature for matrix-valued functions
- Matrix measures, moment spaces and Favard's theorem for the interval \([0,1\) and \([0,\infty)\)]
- Orthogonal matrix polynomials and higher-order recurrence relations
- Orthogonal matrix polynomials: zeros and Blumenthal's theorem
- Orthogonal matrix polynomials and applications
- Generalized Chebyshev polynomials and discrete Schrödinger operators
- On the choice of optimality criteria in comparing statistical designs
- Markov's Theorem for Orthogonal Matrix Polynomials
- Optimal weighing designs: approximate theory
- Density Questions for the Truncated Matrix Moment Problem
- On Orthogonal Polynomials With Respect to a Positive Definite Matrix of Measures
- On Non-randomized Fractional Weighing Designs
- Matrix Chebyshev polynomials and continued fractions
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