Open AccessJournal Article
Circulant, Negacyclic and Semicirculant Matrices with the Modified Pell, Jacobsthal and Jacobsthal-Lucas Numbers
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In this paper, the Modified Pell, Jacobsthal and Jacob Sthal-Lucas Numbers with the modified Pell, Negacyclic and Semicirculant Matrices with the Modified Pells and Jacobsthals were used.Abstract:
Circulant, Negacyclic and Semicirculant Matrices with the Modified Pell, Jacobsthal and Jacobsthal-Lucas Numbersread more
Citations
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Journal ArticleDOI
On the inverse of circulant matrix via generalized k-Horadam numbers
Yasin Yazlik,Necati Taskara +1 more
TL;DR: The results in here are the most general statements to obtain the inverses and determinants in such matrices having the elements of all second order sequences.
Journal ArticleDOI
On k-Circulant Matrices with Arithmetic Sequence
TL;DR: Bahsi and Solak as discussed by the authors considered k-circulant matrices with arithmetic sequence and investigated the eigenvalues, determinants and Euclidean norms of such matrices.
Journal ArticleDOI
On the norms of r-circulant matrices with the hyper-Fibonacci and Lucas numbers
Mustafa Bahşi,Süleyman Solak +1 more
TL;DR: In this article, the norms of circulant matrices were studied and the hyper-Fibonacci and hyper-Lucas numbers were used to define the norm of the norm.
Journal ArticleDOI
On k -circulant matrices involving the Jacobsthal numbers
TL;DR: In this article, Jiang et al. considered a k-circulant matrix whose first row is (J1, J2,..., Jn), where Jn is the n th Jacobsthal number, and obtained the formulae for the eigenvalues of such matrix improving the formula which can be obtained from the result of Y. Yazlik and N. Taskara [J. Inequal.
Journal ArticleDOI
On the Some Properties of Circulant Matrices with Third Order Linear Recurrent Sequences
Arzu Coskun,Necati Taskara +1 more
TL;DR: In this article, the authors defined the circulant matrices C(Z) which entries are third order linear recurrent sequences and computed eigenvalues, spectral norm and determinant of this matrix.
References
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Book
Matrix Analysis
Roger A. Horn,Charles R. Johnson +1 more
TL;DR: In this article, the authors present results of both classic and recent matrix analyses using canonical forms as a unifying theme, and demonstrate their importance in a variety of applications, such as linear algebra and matrix theory.
Journal ArticleDOI
Spectral decomposition of real circulant matrices
TL;DR: In this article, spectral decompositions of real circulant matrices are presented, i.e., eigendecompositions and singular value decomposition, for skew right and skew left circulants.
Jacobsthal and pell curves
TL;DR: In this article, the Jacobsthal and Jacobs thaiLucas numbers are considered as members of a family of w-curves, which are referred to as w-cliques.
Journal Article
Jacobsthal Numbers and Alternating Sign Matrices
Darrin D. Frey,James A. Sellers +1 more
TL;DR: In this article, the m th Jacobsthal number by Jm is defined, where m is the number of alternating sign matrices, and Jm denotes the m-th Jacobstal number.
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