Positivity

, Volume 15, Issue 1, pp 155–159

Sufficient conditions for positive definiteness of tridiagonal matrices revisited

Article

DOI: 10.1007/s11117-010-0047-y

Cite this article as:
Anđelić, M. & da Fonseca, C.M. Positivity (2011) 15: 155. doi:10.1007/s11117-010-0047-y
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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.

Keywords

Chain sequencesWall–Wetzel theoremTridiagonal matrixPositive definite matrix

Mathematics Subject Classification (2000)

15A1515A5715A4515A6015A48

Copyright information

© Birkhäuser/Springer Basel AG 2010

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of AveiroAveiroPortugal
  2. 2.Department of MathematicsUniversity of CoimbraCoimbraPortugal