Package com.polytechnik.freemoney
Class ILocalizedStates
java.lang.Object
com.polytechnik.freemoney.ILocalizedStates
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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Nested Class Summary
Nested ClassesModifier and TypeClassDescriptionstatic class
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Field Summary
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Constructor Summary
ConstructorsConstructorDescriptionILocalizedStates
(int n, double[] QQt, double[] QQi, double[] InvG, OrthogonalPolynomialsBasisFunctionsCalculatable<? extends BasisFunctionsCalculatable> M, double eps) -
Method Summary
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Field Details
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res
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Constructor Details
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ILocalizedStates
public ILocalizedStates(int n, double[] QQt, double[] QQi, double[] InvG, OrthogonalPolynomialsBasisFunctionsCalculatable<? extends BasisFunctionsCalculatable> M, double eps)
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