Package org.drip.numerical.complex

Class C1CartesianPhiAlphaBetaTheta

java.lang.Object

org.drip.numerical.complex.C1Square

org.drip.numerical.complex.C1CartesianPhiAlphaBetaTheta

public class C1CartesianPhiAlphaBetaTheta
extends C1Square

C1CartesianPhiAlphaBetaTheta implements the type and Functionality associated with a C¹ Square Matrix parameterized by alpha, beta, theta, and phi Fields. 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
C1Cartesian	a()	Retrieve the a Parameter
double	alpha()	Retrieve Alpha
C1Cartesian	b()	Retrieve the b Parameter
double	beta()	Retrieve Beta
double	phi()	Retrieve Phi
C1CartesianPhiAB	phiAB()	Construct the Instance of C1CartesianPhiAB
static C1CartesianPhiAlphaBetaTheta	Standard(double alpha, double beta, double theta, double phi)	Construct a Standard Instance of C1CartesianPhiAlphaBetaTheta
double	theta()	Retrieve Theta

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

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

Methods inherited from class java.lang.Object

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

Method Details

Standard

public static C1CartesianPhiAlphaBetaTheta Standard(double alpha,
double beta,
double theta,
double phi)

Construct a Standard Instance of C1CartesianPhiAlphaBetaTheta

Parameters:

alpha - "alpha"

beta - "beta"

theta - "theta"

phi - "Phi"

Returns:

C1CartesianPhiAlphaBetaTheta Instance

alpha

public double alpha()

Retrieve Alpha

Returns:

Alpha

beta

public double beta()

Retrieve Beta

Returns:

Beta

theta

public double theta()

Retrieve Theta

Returns:

Theta

phi

public double phi()

Retrieve Phi

Returns:

Phi

a

public C1Cartesian a()

Retrieve the a Parameter

Returns:

a Parameter

b

public C1Cartesian b()

Retrieve the b Parameter

Returns:

b Parameter

phiAB

public C1CartesianPhiAB phiAB()

Construct the Instance of C1CartesianPhiAB

Returns:

Instance of C1CartesianPhiAB