If all the Eigenvalues of a Real Matrix *A* have Real Parts, then to an
arbitrary negative definite quadratic form
with
there corresponds a positive
definite quadratic form
such that if one takes

then and satisfy

**References**

Gradshteyn, I. S. and Ryzhik, I. M. *Tables of Integrals, Series, and Products, 5th ed.* San Diego, CA:
Academic Press, p. 1122, 1979.

© 1996-9

1999-05-25