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A convexity lemma on the interlacing inequalities for invariant factors

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Publication:1112137
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DOI10.1016/0024-3795(88)90201-7zbMath0659.15019OpenAlexW2115389623WikidataQ124820850 ScholiaQ124820850MaRDI QIDQ1112137

Eduardo Marques de Sá

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0024-3795(88)90201-7


zbMATH Keywords

convexityinvariant factorsinterlacing inequalitiesdivisibility of polynomials


Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Polynomials in general fields (irreducibility, etc.) (12E05) Miscellaneous inequalities involving matrices (15A45)


Related Items

Interlacing and degree conditios for invariat polynomials ⋮ Bounded rank perturbations of a regular matrix pencil ⋮ Corrections to ``A convexity lemma on the interlacing inequalities for invariant factors ⋮ High, low, and quantitative roads in linear algebra



Cites Work

  • Interlacing inequalities for invariant factors
  • Imbedding conditions for \(\lambda\)-matrices
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