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The negative signature of some Hermitian matrices

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Publication:1208282
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DOI10.1016/0024-3795(93)90336-MzbMath0812.15016MaRDI QIDQ1208282

Tiberiu Constantinescu, Aurelian Gheondea

Publication date: 16 May 1993

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


zbMATH Keywords

liftingHermitian matricespartial matrixHermitian completionsnegative signature


Mathematics Subject Classification ID

Hermitian, skew-Hermitian, and related matrices (15B57)


Related Items

Completely J -positive linear systems of finite order ⋮ The elliptic matrix completion problem ⋮ Max-min problems on the ranks and inertias of the matrix expressions \(A - BXC \pm (BXC)^{\ast}\) with applications



Cites Work

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  • Bordered matrices
  • Restricted quadratic forms, inertia theorems, and the Schur complement
  • Extensions of band matrices with band inverses
  • Minimal signature in lifting of operators. II
  • One-step completions of Hermitian partial matrices with minimal negative signature
  • On the Matrix Equation $AX + X^ * A^ * = C$
  • Inertia possibilities for completions of partial hermitian matrices*
  • On negative eigenvalues of selfadjoint eztensions of band matrices
  • Über einige Fortsetzungsprobleme, die eng mit der Theorie hermitescher Operatoren im RaumeIIx zusammenhängen. I. Einige Funktionenklassen und ihre Darstellungen
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