TOPICS
Search

Stable Type

A polynomial equation whose 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.

Explore with Wolfram|Alpha

References

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

Referenced on Wolfram|Alpha

Stable Type

Cite this as:

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

Subject classifications