Package org.drip.numerical.matrixnorm

Class SingleVectorNormEvaluator

java.lang.Object

org.drip.numerical.matrixnorm.R1SquareEvaluator

org.drip.numerical.matrixnorm.SingleVectorNormEvaluator

Direct Known Subclasses:

SingleVectorNorm1Evaluator, SingleVectorNorm2Evaluator, SingleVectorNormInfinityEvaluator

public abstract class SingleVectorNormEvaluator
extends R1SquareEvaluator

SingleVectorNormEvaluator exposes the Single Vector p-Norm applicable to both Rows/Columns of a R¹ Square Matrix. The References are:

• Alon, N., and A. Naor (2004): Approximating the Cut-norm via Grothendieck Inequality Proceedings of the 36^th Annual ACM Symposium on Theory of Computing STOC’04 ACM Chicago IL
• Golub, G. H., and C. F. van Loan (1996): Matrix Computations 3^rd Edition Johns Hopkins University Press Baltimore MD
• Horn, R. A., and C. R. Johnson (2013): Matrix Analysis 2^nd Edition Cambridge University Press Cambridge UK
• Lazslo, L. (2012): Large Networks and Graph Limits American Mathematical Society Providence RI
• Wikipedia (2024): Matrix Norm https://en.wikipedia.org/wiki/Matrix_norm

• Module = Computational Core Module
• Library = Numerical Analysis Library
• Project = Numerical Quadrature, Differentiation, Eigenization, Linear Algebra, and Utilities
• Package = Implementation of Matrix Norm Variants

Author:

Lakshmi Krishnamurthy

Method Summary

Modifier and Type	Method	Description
int	compatibleVectorP()	Retrieve the Compatible Vector p-Norm
int	p()	Retrieve the p-Norm

Methods inherited from class org.drip.numerical.matrixnorm.R1SquareEvaluator

norm, validator

Methods inherited from class java.lang.Object

equals, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Method Details

p

public int p()

Retrieve the p-Norm

Returns:

p-Norm

compatibleVectorP

public int compatibleVectorP()

Retrieve the Compatible Vector p-Norm

Returns:

Compatible Vector p-Norm