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On Lavoie's determinantal inequality

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Publication:1150416
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DOI10.1016/0024-3795(81)90168-3zbMath0456.15004OpenAlexW2067553836MaRDI QIDQ1150416

George P. H. Styan

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1016/0024-3795(81)90168-3


zbMATH Keywords

Moore-Penrose inversepartitioned matrixHadamard determinant theorem


Mathematics Subject Classification ID

Factorization of matrices (15A23) Theory of matrix inversion and generalized inverses (15A09) Determinants, permanents, traces, other special matrix functions (15A15) Eigenvalues, singular values, and eigenvectors (15A18)


Related Items (3)

A generalization of Lavoie's inequality concerning the sum of idempotent matrices ⋮ Lavoie inequalities for weighted generalized inverses of matrices ⋮ Covariance of Moore-Penrose inverses with respect to an invertible matrix




Cites Work

  • A determinantal inequality involving the Moore-Penrose inverse
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