Evaluation of minors associated to weighing matrices

DOI10.1016/j.laa.2007.06.004zbMath1133.15008OpenAlexW2161699839MaRDI QIDQ996332

Marilena Mitrouli, Christos D. Kravvaritis

Publication date: 14 September 2007

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

Full work available at URL: https://doi.org/10.1016/j.laa.2007.06.004

zbMATH Keywords

algorithmsgrowthGaussian eliminationsymbolic computationsminorscomplete pivotingweighing matricesdeterminant calculus

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Determinants, permanents, traces, other special matrix functions (15A15) Roundoff error (65G50) Numerical computation of determinants (65F40) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items (4)

Hadamard Matrices: Insights into Their Growth Factor and Determinant Computations ⋮ An eigenvalue approach evaluating minors for weighing matrices \(W(n, n-1)\) ⋮ \(D\)-optimal designs embedded in Hadamard matrices and their effect on the pivot patterns ⋮ On the complete pivoting conjecture for Hadamard matrices: further progress and a good pivots property

Cites Work

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• Pivot size in Gaussian elimination
• Advanced determinant calculus: a complement
• Determinants associated to zeta matrices of posets
• The Faà di Bruno formula and determinant identities
• Average-Case Stability of Gaussian Elimination
• Growth in Gaussian Elimination
• Error Analysis of Direct Methods of Matrix Inversion
• Determinants Whose Elements Are 0 and 1

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