Maximal determinant over a certain class of matrices and its application to D-optimality of designs

DOI10.1016/j.laa.2011.04.036zbMath1239.15005OpenAlexW2080502902MaRDI QIDQ763072

Katarzyna Filipiak, Rafał Róẓański, Augustyn Markiewicz

Publication date: 8 March 2012

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

Full work available at URL: https://doi.org/10.1016/j.laa.2011.04.036

zbMATH Keywords

information matrixeigenvaluesdeterminantsblock designsmaximal determinantD-optimality of designsinference model

Mathematics Subject Classification ID

Optimal statistical designs (62K05) Determinants, permanents, traces, other special matrix functions (15A15) Eigenvalues, singular values, and eigenvectors (15A18) Statistical block designs (62K10)

Related Items (2)

On Universal Optimality of Circular Weakly Neighbor Balanced Designs Under an Interference Model ⋮ On the Optimality of Circular Block Designs Under a Mixed Interference Model

Cites Work

• Unnamed Item
• Unnamed Item
• Connectedness of complete block designs under an interference model
• Optimal designs for a mixed interference model
• Determinants of block tridiagonal matrices
• On the E-optimality of complete designs under an interference model
• Optimality of neighbour balanced designs
• D-optimal block designs with at most six varieties
• Optimality of neighbor balanced designs under mixed effects model.
• Optimality of type I orthogonal arrays for general interference model with correlated observa\-tions
• Optimality and efficiency of circular neighbor balanced designs for correlated observations
• D-optimal designs with minimal and nearly minimal number of units
• Inequalities: theory of majorization and its applications

This page was built for publication: Maximal determinant over a certain class of matrices and its application to D-optimality of designs