Linear Algebra of the Lucas Matrix
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Date
2021
Authors
Irmak, Nurettin
Journal Title
Journal ISSN
Volume Title
Publisher
HACETTEPE UNIV, FAC SCI
Open Access Color
GOLD
Green Open Access
No
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Publicly Funded
No
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Impulse
Average
Influence
Average
Popularity
Top 10%
Abstract
In this paper, we give the factorizations of the Lucas and inverse Lucas matrices. We also investigate the Cholesky factorization of the symmetric Lucas matrix. Moreover, we obtain the upper and lower bounds for the eigenvalues of the symmetric Lucas matrix by using some majorization techniques.
Description
Keywords
Lucas matrix, Cholesky factorization, eigenvalues, majorization, FIBONACCI, Lucas Matrix;Cholesky factorization;eigenvalues;majorization, Matematik, eigenvalues, Matrices, determinants in number theory, Inequalities involving eigenvalues and eigenvectors, Mathematical Sciences, Factorization of matrices, majorization, Lucas matrix, Theory of matrix inversion and generalized inverses, Cholesky factorization
Turkish CoHE Thesis Center URL
Fields of Science
02 engineering and technology, 01 natural sciences, 0202 electrical engineering, electronic engineering, information engineering, 0101 mathematics
Citation
WoS Q
Q2
Scopus Q
Q3
OpenCitations Citation Count
2
Source
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
Volume
50
Issue
2
Start Page
549
End Page
558
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Citations
CrossRef : 2
Scopus : 4
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Mendeley Readers : 2
SCOPUS™ Citations
4
checked on Feb 03, 2026
Web of Science™ Citations
5
checked on Feb 03, 2026
Downloads
3
checked on Feb 03, 2026
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