Results 61 to 70 of about 27,032 (189)
Bidiagonal Decompositions and Accurate Computations for the Ballot Table and the Fibonacci Matrix
Numerical Linear Algebra with Applications, Volume 33, Issue 1, February 2026.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.
Jorge Ballarín +2 more
wiley +1 more source
Afyon Kocatepe University Journal of Sciences and Engineering, 2023 Shifted Fibonacci numbers have been examined in the literature in terms of the greatest common divisor, but appropriate definitions and fundamental equations have not been worked on. In this article, we have obtained the Binet formula, which is a fundamental equation used to obtain the necessary element of the shifted Fibonacci number sequence ...
openaire +5 more sources
Journal of Geophysical Research: Solid Earth, Volume 131, Issue 2, February 2026.Abstract We present the first micromagnetic simulations for sub‐micron monoclinic 4C pyrrhotite (Fe7S8 ${\text{Fe}}_{7}{\mathrm{S}}_{8}$), a common mineral in rocks and sediments and an important mineral in paleomagnetic studies. Previous experimental studies on the magnetic properties of pyrrhotite had limited control over granulometry and focused ...
Wyn Williams +6 more
wiley +1 more source
Binomials transformation formulae for scaled Fibonacci numbers
Open Mathematics, 2017 The aim of the paper is to present the binomial transformation formulae of Fibonacci numbers scaled by complex multipliers. Many of these new and nontrivial relations follow from the fundamental properties of the so-called delta-Fibonacci numbers defined
Hetmaniok Edyta +2 more
doaj +1 more source
Entanglement in Quantum Systems Based on Directed Graphs
Advanced Quantum Technologies, Volume 9, Issue 1, January 2026.The entanglement properties of quantum states associated with directed graphs are investigated. It is proved that the vertex degree distribution fully determines this entanglement measure, which remains invariant under vertex relabeling, thereby highlighting its topological character.
Lucio De Simone, Roberto Franzosi
wiley +1 more source
On Quaternion-Gaussian Fibonacci Numbers and Their Properties
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 We study properties of Gaussian Fibonacci numbers. We start with some basic identities. Thereafter, we focus on properties of the quaternions that accept gaussian Fibonacci numbers as coefficients.
Halici Serpil, Cerda-Morales Gamaliel
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Automating Algorithm Experiments With ALGator: From Problem Modeling to Reproducible Results
Software: Practice and Experience, Volume 56, Issue 1, Page 26-41, January 2026.ABSTRACT Background Theoretical algorithm analysis provides fundamental insights into algorithm complexity but relies on simplified and often outdated computational models. Experimental algorithmics complements this approach by evaluating the empirical performance of algorithm implementations on real data and modern computing platforms.
Tomaž Dobravec
wiley +1 more source
Some Fibonacci congruences with square moduli [PDF]
Notes on Number Theory and Discrete MathematicsFibonacci congruence with prime moduli have been extensively studied. Square moduli are obviously not prime numbers, so why study such congruences?
Anthony G. Shannon +2 more
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Fibonacci factoriangular numbers
Indagationes Mathematicae, 2017 A recent conjecture is proved asserting that \(2, 5\), and \(34\) are the only Fibonacci numbers that are of the form \(n! + n(n+1)/2\) for some integer \(n\). The main tool to prove it is an upper bound for a non-zero \(p\)-adic linear form in two logarithms of algebraic numbers.
Gómez Ruiz, C. +1 more
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FPGA Realization of a Novel Hyperchaos Augmented Image Encryption Algorithm
IET Computers &Digital Techniques, Volume 2026, Issue 1, 2026.With the rapid growth of multimedia communication, protecting image data has become increasingly critical. This article proposes a novel 3‐stage hyperchaos‐based augmented image encryption technique (3SHAIET) that utilizes a three‐stage process with chaotic systems of increasing dimensionality (e.g., six‐dimensional [6D], 8D, and 9D) to enhance ...
Wassim Alexan +6 more
wiley +1 more source