• Daneshyari
  • Topics
    • Physical Sciences and Engineering
      Life Sciences
      Health Sciences
      Social Sciences and Humanities
Physical Sciences and Engineering Mathematics Applied Mathematics

Fibonacci identities via the determinant of tridiagonal matrix

Article ID Journal Published Year Pages File Type
6422302 Applied Mathematics and Computation 2011 4 Pages PDF
Abstract

In this paper, using the method of Laplace expansion to evaluate the determinant tridiagonal matrices, we construct a kind of determinants to give new proof of the Fibonacci identities.

Keywords
Fibonacci numberDeterminantTridiagonal matrix
Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Preview
Fibonacci identities via the determinant of tridiagonal matrix
Authors
Jishe Feng,
Related Articles
An approximate solution based on Jacobi polynomials for time-fractional convection–diffusion equation
Local energy-preserving algorithms for nonlinear fourth-order Schrödinger equation with trapped term
Including homoclinic connections and T-point heteroclinic cycles in the same global problem for a reversible family of piecewise linear systems
Discrete spline methods for solving two point fractional Bagley–Torvik equation
Perturbation bounds of generalized inverses
A parameter uniform difference scheme for singularly perturbed parabolic delay differential equation with Robin type boundary condition
Maps preserving the diamond partial order
Counterexamples to conjectures on graph distance measures based on topological indexes
Stackelberg game based relay selection for physical layer security and energy efficiency enhancement in cognitive radio networks
On modeling and global solutions for d.c. optimization problems by canonical duality theory
Journal
Applied Mathematics and Computation
Journal: Applied Mathematics and Computation
Related Categories
Fibonacci number
Determinant
Tridiagonal matrix
Algebra and Number Theory
Analysis
Applied Mathematics
Computational Mathematics
Control and Optimization
Discrete Mathematics and Combinatorics
Geometry and Topology
Logic
Mathematical Physics
Mathematics (General)
Modelling and Simulation
Numerical Analysis
Statistics and Probability
Theoretical Computer Science
Related Journals
Journal of Mathematical Psychology
The Journal of Mathematical Behavior
Discrete Applied Mathematics
Fuzzy Information and Engineering
Computers & Mathematics with Applications
Computers & Operations Research
European Journal of Operational Research
Journal of the Egyptian Mathematical Society
Operations Research Perspectives
Simulation Modelling Practice and Theory
Sustainable Energy, Grids and Networks
Journal of the Franklin Institute
Journal of Applied Mathematics and Mechanics
Comptes Rendus Mécanique
Nonlinear Analysis: Real World Applications
Nonlinear Analysis: Theory, Methods & Applications
Journal of Mathematical Economics
Mathematical Social Sciences
Spatial Statistics
Surveys in Operations Research and Management Science
Computers & Industrial Engineering
Mathematical and Computer Modelling
Mathematics and Computers in Simulation
Journal of Statistical Planning and Inference
Revista Internacional de Métodos Numéricos para Cálculo y Diseño en Ingeniería
Applied Mathematical Modelling
Applied Mathematics Letters
Nonlinear Analysis: Hybrid Systems
Daneshyari provides fulltext access to millions of research papers.