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A note on the matrix ordering of special C-matrices

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Publication:1082754
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DOI10.1016/0024-3795(85)90058-8zbMath0603.62071OpenAlexW1966081816MaRDI QIDQ1082754

Jerzy K. Baksalary, Friedrich Pukelsheim

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0024-3795(85)90058-8


zbMATH Keywords

matrix inequalityC-matrixNecessary and sufficient conditionsLoewner matrix ordering


Mathematics Subject Classification ID

Multivariate analysis (62H99) Miscellaneous inequalities involving matrices (15A45) Statistical block designs (62K10)


Related Items (5)

Multinomial logistic regression algorithm ⋮ Ordering of transformed recorded electroencephalography (EEG) signals by a novel precede operator ⋮ Ordered matrices with nonnegative group projector ⋮ Monotonicity of quadratic-approximation algorithms ⋮ Nonnegative and positive definiteness of matrices modified by two matrices of rank one



Cites Work

  • On optimality properties of simple block designs in the approximate design theory
  • A theorem on the difference of the generalized inverses of two nonnegative matrices
  • Inequalities: theory of majorization and its applications
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