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The relationship between Hadamard and conventional multiplication for positive definite matrices

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Publication:1091446
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DOI10.1016/0024-3795(87)90260-6zbMath0623.15011OpenAlexW2054927333MaRDI QIDQ1091446

Charles R. Johnson, Ludwig Elsner

Publication date: 1987

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

Full work available at URL: https://pub.uni-bielefeld.de/record/1780396

zbMATH Keywords

Hadamard productpositive definite Hermitian matrices


Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Hermitian, skew-Hermitian, and related matrices (15B57) Miscellaneous inequalities involving matrices (15A45)


Related Items

A weak majorization involving the matrices \(A\circ B\) and \(AB\), Mathematical Aspects of the Relative Gain Array $( A \circ A^{ - T} )$, Iterative least-squares solutions of coupled sylvester matrix equations



Cites Work

  • A note on the Hadamard product of matrices
  • Matrix Analysis
  • Mathematical Aspects of the Relative Gain Array $( A \circ A^{ - T} )$
  • Über eine Ungleichung für positiv definite Matrizen
  • Partitioned and Hadamard product matrix inequalities
  • Hadamard products of matrices
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