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How Tight is Hadamard's Bound?

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Publication:2775761
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DOI10.1080/10586458.2001.10504453zbMath0992.15005OpenAlexW2094401305MaRDI QIDQ2775761

Thom Mulders, John Abbott

Publication date: 22 September 2002

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.em/1069786341


zbMATH Keywords

random matricesdeterminantsasymptotic expansionsHadamard's inequality


Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Miscellaneous inequalities involving matrices (15A45) Random matrices (algebraic aspects) (15B52)


Related Items (5)

On determinants and the volume of random polytopes in isotropic convex bodies ⋮ Mod-Gaussian convergence for random determinants ⋮ Roundoff-Error-Free Algorithms for Solving Linear Systems via Cholesky and LU Factorizations ⋮ Linear programming using limited-precision oracles ⋮ On the reduction of a random basis


Uses Software

  • Hull


Cites Work

  • The special functions and their approximations. Vol. I, II
  • Matrix Analysis
  • Computational Solutions of Matrix Problems Over an Integral Domain
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