The eigenvalues of a tridiagonal matrix in biogeography

DOI10.1016/j.amc.2011.05.054zbMath1255.15009OpenAlexW2040929305MaRDI QIDQ656676

Boris Igelnik, Dan Simon

Publication date: 13 January 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://engagedscholarship.csuohio.edu/cgi/viewcontent.cgi?article=1014&context=enece_facpub

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Eigenvalues, singular values, and eigenvectors (15A18) Ecology (92D40) Special matrices (15B99)

Related Items (9)

Tridiagonal test matrices for eigenvalue computations: two-parameter extensions of the Clement matrix ⋮ Equivalence of fourth order boundary value problems and matrix eigenvalue problems ⋮ Matrix representations of fourth-order boundary value problems with coupled or mixed boundary conditions ⋮ Spectrum and eigenvectors for a class of tridiagonal matrices ⋮ Persymmetric Jacobi matrices with square-integer eigenvalues and dispersionless mass-spring chains ⋮ Eigenvalues of a class of fourth-order boundary value problems with transmission conditions using matrix theory ⋮ A simple derivation of the eigenvalues of a tridiagonal matrix arising in biogeography ⋮ The eigenpairs of a Sylvester-Kac type matrix associated with a simple model for one-dimensional deposition and evaporation ⋮ Remark on the eigenvalues of a tridiagonal matrix in biogeography

Cites Work

• Spectrum of certain tridiagonal matrices when their dimension goes to infinity
• On the eigenvalues of some tridiagonal matrices
• A note on the eigenvalues of a special class of matrices
• Exact eigensystems for some matrices arising from discretizations
• An explicit formula for eigenvalues of Bethe trees and upper bounds on the largest eigenvalue of any tree
• Eigenvalues and eigenvectors of some tridiagonal matrices with non-constant diagonal entries
• Analytic Results for the Eigenvalues of Certain Tridiagonal Matrices
• Eigenvalues and eigenvectors of tridiagonal matrices
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The eigenvalues of a tridiagonal matrix in biogeography