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Communication Dans Un Congrès Année : 2020

Several explicit and recurrent formulas for determinants of tridiagonal matrices via generalized continued fractions

Résumé

In the paper, by the aid of mathematical induction and some properties of determinants, the authors present several explicit and recurrent formulas of evaluations for determinants of general tridiagonal matrices in terms of finite generalized continued fractions and apply these newly-established formulas to evaluations for determinants of the Sylvester matrix and two Sylvester type matrices.
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Dates et versions

hal-02372394 , version 1 (20-11-2019)
hal-02372394 , version 2 (14-11-2020)

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Paternité - Pas d'utilisation commerciale

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Feng Qi, Wang Wen, Bai-Ni Guo, Dongkyu Lim. Several explicit and recurrent formulas for determinants of tridiagonal matrices via generalized continued fractions. Springer Book Series Lecture Notes in Networks and Systems, Nov 2019, Beni-Mellal, Macedonia. pp.233--248, ⟨10.1007/978-3-030-62299-2_15⟩. ⟨hal-02372394v2⟩
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