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Indefinite Quadratic Form


A quadratic form Q(x) is indefinite if it is less than 0 for some values and greater than 0 for others. The quadratic form, written in the form (x,Ax), is indefinite if eigenvalues of the matrix A are of both signs.


See also

Positive Definite Quadratic Form, Positive Semidefinite Quadratic Form

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References

Gradshteyn, I. S. and Ryzhik, I. M. Tables of Integrals, Series, and Products, 6th ed. San Diego, CA: Academic Press, p. 1106, 2000.

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Indefinite Quadratic Form

Cite this as:

Weisstein, Eric W. "Indefinite Quadratic Form." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/IndefiniteQuadraticForm.html

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