Class ILocalizedStates

java.lang.Object
com.polytechnik.freemoney.ILocalizedStates

public class ILocalizedStates extends Object
The state of \( \max I= \frac{\left<\psi|QQi|\psi\right>}{\left<\psi|QQt|\psi\right>} \) among localized states \( \left|\psi\right> = \frac{1}{\mathrm{norm}}G^{-1}Q(x) \) . The problem is reduced to maximizing a ratio of two polynomials of the degree 2n-2. The derivative roots of this ratio correspond to the roots of a polynomial of the degree 4n-5, a solution is then selected among all available roots of the derivative. This polynomial of the degree 4n-5 has leading coefficient 0, thus actual order is 4n-6, the number of coefficients in polynomial is 1+4n-6.
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