Results 51 to 60 of about 1,544,471 (165)
VanderLaan Circulant Type Matrices
Abstract and Applied Analysis, Volume 2015, Issue 1, 2015., 2015 Circulant matrices have become a satisfactory tools in control methods for modern complex systems. In the paper, VanderLaan circulant type matrices are presented, which include VanderLaan circulant, left circulant, and g‐circulant matrices. The nonsingularity of these special matrices is discussed by the surprising properties of VanderLaan numbers. The
Hongyan Pan, Zhaolin Jiang, Shen Yin
wiley +1 more source
On the jacobsthal, horadam and geometric mean sequences [PDF]
, 2016 This paper, in considering aspects of the geometric mean sequence, offers new results connecting Jacobsthal and Horadam numbers which are established and then proved independently.This paper, in considering aspects of the geometric mean sequence, offers ...
Rabago, Julius, F. T. +1 more
core
On The Connections Between Jacobsthal Numbers and Fibonacci p-Numbers
, 2020 In this paper, we define the Fibonacci-Jacobsthal p-sequence and then we discuss the connection between of the Fibonacci-Jacobsthal p-sequence with the Jacobsthal and Fibonacci p-sequences.
Omur Deveci, Ozgur Erdag
core +1 more source
k-Jacobsthal and k-Jacobsthal Lucas matrix sequences
International Mathematical Forum, 2016 In this study, we consider sequences named k-Jacobsthal, k-Jacobsthal Lucas sequences. After that, by using these sequences, we dene kJacobsthal and k-Jacobsthal-Lucas matrix sequence at the same time. Finally we investigate some properties of these sequences, present some important relationship between k-Jacobsthal matrix sequence and kJacobsthal ...
S. Uygun, H. Eldogan
openaire +1 more source
On Jacobsthal and Jacobsthal‐Lucas Circulant Type Matrices
Abstract and Applied Analysis, Volume 2015, Issue 1, 2015., 2015 Circulant type matrices have become an important tool in solving fractional order differential equations. In this paper, we consider the circulant and left circulant and g‐circulant matrices with the Jacobsthal and Jacobsthal‐Lucas numbers. First, we discuss the invertibility of the circulant matrix and present the determinant and the inverse matrix ...
Yanpeng Gong +3 more
wiley +1 more source
On the (r, p, k)-Generalized Jacobsthal Numbers and the Jacobsthal Fundamental Fibonacci System
Trends in Computational and Applied MathematicsThe main goal of this paper is to study the model of the sequences of (r, p, k)-generalized Jacobsthal numbers, by the approach based on the properties of its associated Jacobsthal fundamental Fibonacci system and its fundamental sequence.
M. Rachidi, F. Yilmaz
doaj +1 more source
Qualitative Behavior of Bidimensional Rational Fuzzy Difference Equations
Abstract and Applied Analysis, Volume 2025, Issue 1, 2025.This paper aims to extend the research conducted by Yalçınkaya et al. on one‐dimensional dynamics, specifically, their work titled “Qualitative behavior of a higher‐order fuzzy difference equation.” The purpose of this study is to expand the analysis of fuzzy difference equations into a bidimensional framework.
Najmeddine Attia +2 more
wiley +1 more source
Exact Inverse Matrices of Fermat and Mersenne Circulant Matrix
Abstract and Applied Analysis, Volume 2015, Issue 1, 2015., 2015 The well known circulant matrices are applied to solve networked systems. In this paper, circulant and left circulant matrices with the Fermat and Mersenne numbers are considered. The nonsingularity of these special matrices is discussed. Meanwhile, the exact determinants and inverse matrices of these special matrices are presented.
Yanpeng Zheng, Sugoog Shon, Zidong Wang
wiley +1 more source
Journal of Mathematics, Volume 2024, Issue 1, 2024.Spinors can be expressed as Lie algebra of infinitesimal rotations. Spinors are also defined as elements of a vector space which carries a linear representation of the Clifford algebra typically. The motivation for this study is to define a new and particular sequence.
Tülay Erişir, Serkan Araci
wiley +1 more source
Total Graph Interpretation of the Numbers of the Fibonacci Type
Journal of Applied Mathematics, Volume 2015, Issue 1, 2015., 2015 We give a total graph interpretation of the numbers of the Fibonacci type. This graph interpretation relates to an edge colouring by monochromatic paths in graphs. We will show that it works for almost all numbers of the Fibonacci type. Moreover, we give the lower bound and the upper bound for the number of all (A1, 2A1)‐edge colourings in trees.
Urszula Bednarz +3 more
wiley +1 more source