Revisiting some r-Fibonacci sequences and Hessenberg matrices

The relationship between different generalizations of Fibonacci numbers and matrices is common in the literature. However, the basic relation of such sequences with Hessenberg matrices is often not properly explored. In this work we revisit some classic results and present some applications in recent contexts.

Authors

Publication Details

Journal
Notes on Number Theory and Discrete Mathematics
Published
2024-11-08
DOI
https://doi.org/10.7546/nntdm.2024.30.4.704-715
Citations
2
Primary Topic
Advanced Mathematical Theories and Applications
Type
article
Field-Weighted Citation Impact
0.56
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Revisiting some r-Fibonacci sequences and Hessenberg matrices

Carlos M. da Fonseca, A. G. Shannon, Paulo Saraiva
2 citations
Notes on Number Theory and Discrete Mathematics
Advanced Mathematical Theories and Applications
0.56
article

Revisiting some r-Fibonacci sequences and Hessenberg matrices

Carlos M. da Fonseca, A. G. Shannon, Paulo Saraiva
article en
2 citations

Abstract

The relationship between different generalizations of Fibonacci numbers and matrices is common in the literature. However, the basic relation of such sequences with Hessenberg matrices is often not properly explored. In this work we revisit some classic results and present some applications in recent contexts.

Notes on Number Theory and Discrete MathematicsVol. 30(4)
Openalex Percentile: Top 34%
Advanced Mathematical Theories and Applications
0.56
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.