, Volume 15, Issue 1, pp 155-159

Sufficient conditions for positive definiteness of tridiagonal matrices revisited

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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.

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.