, Volume 15, Issue 1, pp 155-159

First online:

Sufficient conditions for positive definiteness of tridiagonal matrices revisited

  • Milica AnđelićAffiliated withDepartment of Mathematics, University of Aveiro
  • , C. M. da FonsecaAffiliated withDepartment of Mathematics, University of Coimbra Email author 

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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.


Chain sequences Wall–Wetzel theorem Tridiagonal matrix Positive definite matrix

Mathematics Subject Classification (2000)

15A15 15A57 15A45 15A60 15A48