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Segre Characteristic

A set of integers that give the orders of the blocks in a Jordan canonical form, with those integers corresponding to submatrices containing the same latent root bracketed together. For example, the Segre characteristic of

[alpha 1 ; alpha ; alpha ; beta 1 ; beta 1 ; beta ; gamma ; delta 1 ; delta ; delta]

is [(21)31(21)] (Frazer et al. 1955, p. 94).

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References

Frazer, R. A.; Duncan, W. J.; and Collar, A. R. Elementary Matrices and Some Applications to Dynamics and Differential Equations. Cambridge, England: Cambridge University Press, p. 94, 1955.

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Segre Characteristic

Cite this as:

Weisstein, Eric W. "Segre Characteristic." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/SegreCharacteristic.html

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