Moore–Penrose inverse of generalized Fibonacci matrix and its applications

DOI10.1080/00207160.2015.1074189zbMath1354.15004OpenAlexW2307938800MaRDI QIDQ2957755

Shou-Qiang Shen, Junjie He

Publication date: 27 January 2017

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2015.1074189

zbMATH Keywords

Moore-Penrose inversegeneralized Pascal matrixgeneralized Fibonacci numberHoradam numbergeneralized Fibonacci matrix

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Theory of matrix inversion and generalized inverses (15A09) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Cites Work

• On the determinants and inverses of circulant matrices with Fibonacci and Lucas numbers
• A generalization of Fibonacci and Lucas matrices
• On the bounds for the norms of \(r\)-circulant matrices with the Fibonacci and Lucas numbers
• Some combinatorial identities via Fibonacci numbers
• On the norms of circulant matrices with the Fibonacci and Lucas numbers
• Generalized inverses. Theory and applications.
• SINGULAR CASE OF GENERALIZED FIBONACCI AND LUCAS MATRICES
• Erratum to ``On the norms of circulant matrices with the Fibonacci and Lucas numbers

This page was built for publication: Moore–Penrose inverse of generalized Fibonacci matrix and its applications