Package org.drip.numerical.decomposition

Class UV

java.lang.Object

org.drip.numerical.decomposition.UV

public class UV
extends java.lang.Object

UV holds the components of a UV Decomposition. 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

Constructor Summary

Constructors

Constructor	Description
UV(double[][] u, double[][] v)	UV Constructor

Method Summary

Modifier and Type	Method	Description
double[][]	u()	Retrieve the Decomposed U
double[][]	v()	Retrieve the Decomposed V

Methods inherited from class java.lang.Object

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

Constructor Details

UV

public UV(double[][] u,
double[][] v)
   throws java.lang.Exception

UV Constructor

Parameters:

u - U

v - v

Throws:

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

Method Details

u

public double[][] u()

Retrieve the Decomposed U

Returns:

Decomposed U

v

public double[][] v()

Retrieve the Decomposed V

Returns:

Decomposed V