Bendixson's inequality
id:
bendixson-s-inequality-191-9756317
title:
Bendixson's inequality
text:
In mathematics, Bendixson's inequality is a quantitative result in the field of matrices derived by Ivar Bendixson in 1902. The inequality puts limits on the imaginary and real parts of characteristic roots (eigenvalues) of real matrices. A special case of this inequality leads to the result that characteristic roots of a real symmetric matrix are always real. The inequality relating to the imaginary parts of characteristic roots of real matrices is stated as: Let A = be a real n × n matrix and
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https://en.wikipedia.org/wiki/Bendixson%27s_inequality
date created:
date modified:
2024-01-17T22:20:01Z
main entity:
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