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Extensions of the Hadamard determinant theorem

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Publication:788064
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DOI10.1007/BF02762889zbMath0531.15003MaRDI QIDQ788064

Russell Merris

Publication date: 1983

Published in: Israel Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

generalized matrix functionpositive definite Hermitian matrixHadamard determinant theorem


Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Hermitian, skew-Hermitian, and related matrices (15B57) Miscellaneous inequalities involving matrices (15A45)


Related Items (4)

An update on a few permanent conjectures ⋮ The binet-cauchy theorem and inequalities for the schur power matrix ⋮ Research problems ⋮ Concavity of certain functions of matrices



Cites Work

  • Inequalities for the permanent function
  • Two problems involving Schur functions
  • A Convexity Proof of Hadamard's Inequality
  • The Hadamard Theorem for Permanents
  • Permanents
  • Mean Value and Limit Theorems for Generalized Matrix Functions
  • The permanent analogue of the Hadamard determinant theorem
  • Unnamed Item


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