\(D\)-optimal weighing designs for \(n\equiv -1\pmod 4\) objects and a large number of weighings

DOI10.1016/S0024-3795(03)00614-1zbMath1025.62025MaRDI QIDQ1414159

D. Massart

Publication date: 19 November 2003

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

regular graph\(D\)-optimal designsstatistical designs

Mathematics Subject Classification ID

Optimal statistical designs (62K05) Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Determinants, permanents, traces, other special matrix functions (15A15) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Matrices of integers (15B36)

Related Items (6)

Computing efficient exact designs of experiments using integer quadratic programming ⋮ Special structures in \(\mathcal{Q}(4, q)\), projective planes and its application in \(L(h, k)\)-colorings of their Moore graphs ⋮ The trace-minimal graph with \(2v\) vertices and regularity \(v+1\) ⋮ D-optimal \((0,1)\)-weighing designs for eight objects ⋮ D-optimal (0,1)-weighing designs for 10 objects ⋮ Trace-minimal graphs and D-optimal weighing designs

Cites Work

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• On the optimality of spring balance weighing designs
• Optimality of some weighing and \(2^n\) fractional factorial designs
• Notes on D-optimal designs
• Largest \(j\)-simplices in \(d\)-cubes: Some relatives of the Hadamard maximum determinant problem
• Trace-minimal graphs and D-optimal weighing designs
• D-optimal weighing designs for four and five objects
• D-optimal Designs for Seven Objects and a Large Number of Weighings
• Determinants with Elements ± 1
• Some Improvements in Weighing and Other Experimental Techniques
• On Hotelling's Weighing Problem
• \(D\)-optimal weighing designs for six objects.

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