org.drip.spaces.cover

Interface OperatorClassCoveringBounds

All Known Implementing Classes:

DiagonalScalingOperator

public interface OperatorClassCoveringBounds

Author:

Spooky

Method Summary

Modifier and Type	Method and Description
DiagonalOperatorCoveringBound	entropyNumberAsymptote() Compute the Entropy Number Asymptotic Behavior
int	entropyNumberIndex() Compute the Entropy Number Index of the Operator
double	entropyNumberLowerBound() Lower Bound of the Operator Entropy Number
double	entropyNumberUpperBound() Upper Bound of the Operator Entropy Number
double	norm() Compute the Metric Norm of the Operator

Method Detail

entropyNumberLowerBound

double entropyNumberLowerBound()
                        throws java.lang.Exception

Lower Bound of the Operator Entropy Number

Returns:

Lower Bound of the Operator Entropy Number

Throws:

java.lang.Exception - Thrown if the Inputs are Invalid

entropyNumberUpperBound

double entropyNumberUpperBound()
                        throws java.lang.Exception

Upper Bound of the Operator Entropy Number

Returns:

Upper Bound of the Operator Entropy Number

Throws:

java.lang.Exception - Thrown if the Inputs are Invalid

entropyNumberIndex

int entropyNumberIndex()

Compute the Entropy Number Index of the Operator

Returns:

The Entropy Number Index of the Operator

norm

double norm()
     throws java.lang.Exception

Compute the Metric Norm of the Operator

Returns:

The Metric Norm of the Operator

Throws:

java.lang.Exception - Thrown if the Metric Norm cannot be computed

entropyNumberAsymptote

DiagonalOperatorCoveringBound entropyNumberAsymptote()

Compute the Entropy Number Asymptotic Behavior

Returns:

the Entropy Number Asymptote Instance