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Pré-Publication, Document De Travail Année : 2019

Some formulas for determinants of tridiagonal matrices in terms of finite generalized continued fractions

Résumé

In the paper, by virtue of induction and properties of determinants, the authors discover explicit and recurrent formulas of evaluations for determinants of general tridiagonal matrices in terms of finite generalized continued fractions and apply these formulas to evaluations for determinants of the Sylvester matrix and two Sylvester type matrices.
In the paper, by virtue of induction and properties of determinants, the authors discover explicit and recurrent formulas of evaluations for determinants of general tridiagonal matrices in terms of finite generalized continued fractions and apply these 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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  • HAL Id : hal-02372394 , version 1

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Feng Qi, Wang Wen, Lim Dongkyu, Bai-Ni Guo. Some formulas for determinants of tridiagonal matrices in terms of finite generalized continued fractions: Formulas for determinants of tridiagonal matrices. 2019. ⟨hal-02372394v1⟩
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