The Eigenvalues of a Tridiagonal Matrix in Biogeography

Boris Igelnik; Daniel J. Simon

doi:10.1016/j.amc.2011.05.054

The Eigenvalues of a Tridiagonal Matrix in Biogeography

Boris Igelnik
, Daniel J. Simon

BMI Research

Research output: Contribution to journal › Article › peer-review

Abstract

We derive the eigenvalues of a tridiagonal matrix with a special structure. A conjecture about the eigenvalues was presented in a previous paper, and here we prove the conjecture. The matrix structure that we consider has applications in biogeography theory.

Original language	American English
Journal	Applied Mathematics and Computation
Volume	218
DOIs	https://doi.org/10.1016/j.amc.2011.05.054
State	Published - Sep 1 2011

Keywords

Linear algebra
Biogeography
Biogeography-based optimization
Rational root theorem

Disciplines

Algebra
Electrical and Computer Engineering

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10.1016/j.amc.2011.05.054License: CC BY

The Eigenvalues of a Tridiagonal Matrix in BiogeographyFinal published version, 4.14 MBLicense: CC BY

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title = "The Eigenvalues of a Tridiagonal Matrix in Biogeography",

abstract = " We derive the eigenvalues of a tridiagonal matrix with a special structure. A conjecture about the eigenvalues was presented in a previous paper, and here we prove the conjecture. The matrix structure that we consider has applications in biogeography theory.",

keywords = "Linear algebra, Biogeography, Biogeography-based optimization, Rational root theorem",

author = "Boris Igelnik and Simon, \{Daniel J.\}",

note = "Igelnik, B., Simon, D. (2011). The eigenvalues of a tridiagonal matrix in biogeography. Applied Mathematics and Computation, 218, 1, 195-201.",

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T1 - The Eigenvalues of a Tridiagonal Matrix in Biogeography

AU - Igelnik, Boris

AU - Simon, Daniel J.

N1 - Igelnik, B., Simon, D. (2011). The eigenvalues of a tridiagonal matrix in biogeography. Applied Mathematics and Computation, 218, 1, 195-201.

PY - 2011/9/1

Y1 - 2011/9/1

N2 - We derive the eigenvalues of a tridiagonal matrix with a special structure. A conjecture about the eigenvalues was presented in a previous paper, and here we prove the conjecture. The matrix structure that we consider has applications in biogeography theory.

AB - We derive the eigenvalues of a tridiagonal matrix with a special structure. A conjecture about the eigenvalues was presented in a previous paper, and here we prove the conjecture. The matrix structure that we consider has applications in biogeography theory.

KW - Linear algebra

KW - Biogeography

KW - Biogeography-based optimization

KW - Rational root theorem

UR - https://engagedscholarship.csuohio.edu/enece_facpub/15

U2 - 10.1016/j.amc.2011.05.054

DO - 10.1016/j.amc.2011.05.054

M3 - Article

VL - 218

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

ER -

The Eigenvalues of a Tridiagonal Matrix in Biogeography

Abstract

Keywords

Disciplines

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