Results 101 to 110 of about 1,240,504 (163)

On the Bounds for the Norms of Toeplitz Matrices with the Jacobsthal and Jacobsthal Lucas Numbers

open access: yesJournal of Engineering Technology and Applied Sciences, 2019
In this study, we compute the value of the various norms of the Toeplitz matrices whose elements are Jacobsthal numbers, Jacobsthal Lucas numbers and upper and lower bounds for the spectral norms of these matrices. Also, the Euclidean norm of Kronecker product of Toeplitz matrices with Jacobsthal and the Jacobsthal Lucas numbers are denoted.
openaire   +3 more sources

CIRCULANT, NEGACYCLIC AND SEMICIRCULANT MATRICES WITH THE MODIFIED PELL, JACOBSTHAL AND JACOBSTHAL-LUCAS NUMBERS

open access: yes, 2007
In this paper, we give some properties of the modified Pell, Jacobsthal and Jacobsthal-Lucas numbers. We then define the circulant, nega-cyclic and semicirculant matrices with these numbers and investigate the norms, eigenvalues and determinants of these
Kocer, E. Gokcen
core  

A new approach to Jacobsthal quaternions

open access: yes, 2017
The Jacobsthal quaternions defined by Szynal-Liana and Wloch [35]. In this paper, we defined some properties of Jacobsthal quaternions. Also, we investigated the relations between the Jacobsthal quaternions which connected with Jacobsthal and ...
Fügen Torunbalcı-Aydın   +3 more
core   +1 more source

On the bi-periodic k-Jacobsthal and k-Jacobsthal-Lucas numbers

open access: yesProgress in Applied Science and Technology
This paper introduces and investigates the bi-periodic Jacobsthal and Jacobsthal–Lucas sequences, extending the classical Jacobsthal framework by incorporating periodicity and a tunable parameter . We establish recurrence relations, derive generating functions, and present Binet-type formulas for these generalized sequences.
Mongkol Tatong, Oam Sthityanak
openaire   +1 more source

Dual third-order Jacobsthal quaternions

open access: yes, 2018
In 2016, Yüce and Torunbalcı Aydın (18) defined dual Fibonacci quaternions. In this paper, we defined the dual third-order Jacobsthal quaternions and dual third-order Jacobsthal-Lucas quaternions.
Cerda-Morales, Gamaliel
core   +1 more source

Non-Newtonian Jacobsthal and Jacobsthal-Lucas numbers: A new look

open access: yesFilomat
In this study, we introduce a novel version of Jacobsthal and Jacobsthal-Lucas numbers, termed as non-Newtonian Jacobsthal and non-Newtonian Jacobsthal-Lucas numbers. We investigate various char-acteristics of these newly defined sequences. Additionally, we explore several formulas and identities such as Cassini?s identity, d?Ocagne?s identity, Binet?s
İlknur Yeşilyurt, Nilay Değirmen
openaire   +1 more source

On the norms of Hankel matrices with the k-Jacobsthal and k-Jacobsthal Lucas numbers

open access: yes, 2014
In this paper, we dene the Hankel matrices with k-Jacobsthal and k- Jacobsthal Lucas numbers.

core  

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