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Sufficient conditions for positive definiteness of tridiagonal matrices revisited

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Abstract

We review several sufficient conditions for the positive definiteness of a tridiagonal matrix and propose a different approach to the problem, recalling and comprising little-known results on chain sequences.

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Authors and Affiliations

  1. Department of Mathematics, University of Aveiro, 3810-193, Aveiro, Portugal

    Milica Anđelić

  2. Department of Mathematics, University of Coimbra, 3001-454, Coimbra, Portugal

    C. M. da Fonseca

Authors
  1. Milica Anđelić
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  2. C. M. da Fonseca
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Corresponding author

Correspondence to C. M. da Fonseca.

Additional information

M. Anđelić is supported by FCT—Fundação para a Ciência e a Tecnologia, grant no. SFRH/BD/44606/2008, and by CIDMA—Center for Research and Development in Mathematics and Applications. C. M. da Fonseca is supported by CMUC—Centro de Matemática da Universidade de Coimbra.

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Anđelić, M., da Fonseca, C.M. Sufficient conditions for positive definiteness of tridiagonal matrices revisited. Positivity 15, 155–159 (2011). https://doi.org/10.1007/s11117-010-0047-y

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  • DOI: https://doi.org/10.1007/s11117-010-0047-y

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