Determinants of some Hessenberg matrices with generating functions

DOI10.1515/spma-2022-0170zbMath1500.15003OpenAlexW4289517769WikidataQ113741008 ScholiaQ113741008MaRDI QIDQ2079790

Utsanee Leerawat, Katthaleeya Daowsud

Publication date: 30 September 2022

Published in: Special Matrices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/spma-2022-0170

zbMATH Keywords

generating functiondeterminantHessenberg matrix

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Matrices, determinants in number theory (11C20) Toeplitz, Cauchy, and related matrices (15B05)

Related Items (1)

On the recursive and explicit form of the general J.C.P. Miller formula with applications

Cites Work

• A new algorithm for computing the inverse and the determinant of a Hessenberg matrix
• Factorization of Hessenberg matrices
• A new recursive algorithm for inverting Hessenberg matrices
• On the computation of inverses and determinants of a kind of special matrices
• A note on the determinant of a Toeplitz-Hessenberg matrix
• Evaluating Determinants via Generating Functions
• Evaluation of Hessenberg determinants via generating function approach
• Hessenberg matrices and the generalized Fibonacci-Narayana sequence
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