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Stable Type

A polynomial equation is of stable type if its roots all have negative real parts. For a real quadratic equation

z^2+Bz+C=0,

the stability conditions are B,C>0. For a real cubic equation

z^3+Az^2+Bz+C=0,

the stability conditions are A,B,C>0 and AB>C.

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References

Birkhoff, G. and Mac Lane, S. A Survey of Modern Algebra, 5th ed. New York: Macmillan, pp. 108-109, 1996.

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Stable Type

Cite this as:

Weisstein, Eric W. "Stable Type." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/StableType.html

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