Bendixson's inequality

In mathematics, Bendixson's inequality is a quantitative result in the field of matrices derived by Ivar Bendixson in 1902. ^[1]

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Table of Contents

1. 5 relations: Eigenvalues and eigenvectors, Gershgorin circle theorem, Ivar Otto Bendixson, Matrix (mathematics), Symmetric matrix.

Eigenvalues and eigenvectors

In linear algebra, an eigenvector or characteristic vector is a vector that has its direction unchanged by a given linear transformation. Bendixson's inequality and Eigenvalues and eigenvectors are Abstract algebra, linear algebra and matrix theory.

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Gershgorin circle theorem

In mathematics, the Gershgorin circle theorem may be used to bound the spectrum of a square matrix. Bendixson's inequality and Gershgorin circle theorem are linear algebra and matrix theory.

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Ivar Otto Bendixson

Ivar Otto Bendixson (1 August 1861 – 29 November 1935) was a Swedish mathematician.

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Matrix (mathematics)

In mathematics, a matrix (matrices) is a rectangular array or table of numbers, symbols, or expressions, with elements or entries arranged in rows and columns, which is used to represent a mathematical object or property of such an object.

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Symmetric matrix

In linear algebra, a symmetric matrix is a square matrix that is equal to its transpose.

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References

[1] https://en.wikipedia.org/wiki/Bendixson's_inequality

Also known as Bendixon's inequality.

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