\(D\)-optimal designs embedded in Hadamard matrices and their effect on the pivot patterns

DOI10.1016/j.laa.2010.10.028zbMath1210.65072OpenAlexW2053864177MaRDI QIDQ630523

Marilena Mitrouli

Publication date: 17 March 2011

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

Full work available at URL: https://doi.org/10.1016/j.laa.2010.10.028

zbMATH Keywords

numerical examplesHadamard matricesGaussian elimination\(D\)-optimal designspivotsembedded matrices

Mathematics Subject Classification ID

Optimal statistical designs (62K05) Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Determinants, permanents, traces, other special matrix functions (15A15) Numerical computation of determinants (65F40) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items (1)

Sylvester Hadamard matrices revisited

Cites Work

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• Hadamard matrices and their applications: progress 2007--2010
• Exotic complex Hadamard matrices and their equivalence
• Evaluation of minors associated to weighing matrices
• The maximal determinant and subdeterminants of \(\pm\)1 matrices.
• Pivot size in Gaussian elimination
• The growth factor of a Hadamard matrix of order 16 is 16
• Growth in Gaussian Elimination
• On the complete pivoting conjecture for a hadamard matrix of order 12

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