<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In the paper, the authors provide five alternative proofs of two formulas for a tridiagonal determinant, supply a detailed proof of the inverse of the corresponding tridiagonal matrix, and provide a proof for a formula of another tridiagonal determinant. This is a companion of the paper [F. Qi, V. Čerňanová,and Y. S. Semenov, <italic>Some tridiagonal determinants related to central Delannoy numbers, the Chebyshev polynomials, and the Fibonacci polynomials</italic>, Politehn. Univ. Bucharest Sci. Bull. Ser. A Appl. Math. Phys. <bold>81</bold> (2019), in press.</p></abstract>

In the paper, the authors provide five alternative proofs of two formulas for a tridiagonal determinant, supply a detailed proof of the inverse of the corresponding tridiagonal matrix, and provide a proof for a formula of another tridiagonal determinant. This is a companion of the paper [F. Qi, V. Čerňanová,and Y. S. Semenov, Some tridiagonal determinants related to central Delannoy numbers, the Chebyshev polynomials, and the Fibonacci polynomials, Politehn. Univ. Bucharest Sci. Bull. Ser. A Appl. Math. Phys. 81 (2019), in press.

Alternative proofs of some formulas for two tridiagonal determinants

Henan Polytechnic University, China College of Mathematics, Inner Mongolia University for Nationalities

Department of Mathematics, College of Science

Department of Mathematics, Sanmenxia Polytechnic

Acta Universitatis Sapientiae, Mathematica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Alternative proofs of some formulas for two tridiagonal determinants"}

In the paper, the authors provide five alternative proofs of two formulas for a tridiagonal determinant, supply a detailed proof of the inverse of the...

Alternative proofs of some formulas for two tridiagonal determinants

Published Online: Mar 04, 2019

Page range: 287 - 297

Received: Jun 19, 2018

DOI: https://doi.org/10.2478/ausm-2018-0022

Keywords
alternative proof, tridiagonal determinant, tridiagonal matrix, inverse

© 2018 Feng Qi et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Alternative proofs of some formulas for two tridiagonal determinants

Published Online: Mar 04, 2019

Page range: 287 - 297

Received: Jun 19, 2018

DOI: https://doi.org/10.2478/ausm-2018-0022

Keywordsalternative proof, tridiagonal determinant, tridiagonal matrix, inverse

© 2018 Feng Qi et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
alternative proof, tridiagonal determinant, tridiagonal matrix, inverse