Package org.drip.numerical.complex

Class UnitaryMatrix

java.lang.Object

org.drip.numerical.complex.C1Square

org.drip.numerical.complex.UnitaryMatrix

public class UnitaryMatrix
extends C1Square

UnitaryMatrix implements the Unitary Matrix. The References are:

• Fuhr, H., and Z. Rzeszotnik (2018): A Note on Factoring Unitary Matrices Linear Algebra and its Applications 547 32-44
• Horn, R. A., and C. R. Johnson (2013): Matrix Analysis Cambridge University Press Cambridge UK
• Li, C. K., and E. Poon (2002): Additive Decomposition of Real Matrices Linear and Multilinear Algebra 50 (4) 321-326
• Marvian, I. (2022): Restrictions on realizable Unitary Operations imposed by Symmetry and Locality Nature Science 18 (3) 283-289
• Wikipedia (2024): Unitary Matrix https://en.wikipedia.org/wiki/Unitary_matrix

• Module = Computational Core Module
• Library = Numerical Analysis Library
• Project = Numerical Quadrature, Differentiation, Eigenization, Linear Algebra, and Utilities
• Package = Implementation of Complex Number Suite

Author:

Lakshmi Krishnamurthy

Method Summary

Modifier and Type	Method	Description
double	conditionNumber()	Compute the Default Condition Number of the Matrix
static UnitaryMatrix	Standard(C1Cartesian[][] c1Grid)	Construct a Standard Instance of the Unitary Matrix

Methods inherited from class org.drip.numerical.complex.C1Square

c1Grid, determinant, isUnitary, isUnitDeterminant, product, product, product, Rotation2x2, Rotation2x2, size, slimContract, transpose

Methods inherited from class java.lang.Object

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

Method Details

Standard

public static UnitaryMatrix Standard(C1Cartesian[][] c1Grid)

Construct a Standard Instance of the Unitary Matrix

Parameters:

c1Grid - Grid of C¹ Elements

Returns:

Standard Instance of the Unitary Matrix

conditionNumber

public double conditionNumber()

Compute the Default Condition Number of the Matrix

Returns:

Default Condition Number of the Matrix