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Numerical Linear Algebra with Applications
Article . 2026 . Peer-reviewed
License: CC BY NC ND
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Digital Repository of University of Zaragoza
Article . 2026
Data sources: Digital Repository of University of Zaragoza
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Bidiagonal Decompositions and Accurate Computations for the Ballot Table and the Fibonacci Matrix

descriptionPublicationkeyboard_double_arrow_right Article 06 Jan 2026 Spain English Publisher:WileyJournal:Numerical Linear Algebra with Applications, volume 33 (issn: 1070-5325, eissn: 1099-1506, Copyright policy )
Authors: Jorge Ballarín; Jorge Delgado; J. M. Peña;

doi: 10.1002/nla.70060

Bidiagonal Decompositions and Accurate Computations for the Ballot Table and the Fibonacci Matrix

Abstract

ABSTRACT Riordan arrays include many important examples of matrices. Here we consider the ballot table and the Fibonacci matrix. For finite truncations of these Riordan arrays, we obtain bidiagonal decompositions. Using them, algorithms to solve key linear algebra problems for ballot tables and Fibonacci matrices with high relative accuracy are derived. We include numerical experiments showing the accuracy of our method.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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