Package org.drip.numerical.complex

Class C1CartesianPhiAB

java.lang.Object

org.drip.numerical.complex.C1Square

org.drip.numerical.complex.C1CartesianPhiAB

public class C1CartesianPhiAB
extends C1Square

C1CartesianPhiAB implements the type and Functionality associated with a C¹ Square Matrix parameterized by a, b, 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
C1Cartesian	b()	Retrieve the b Parameter
double	determinant()	Retrieve the Determinant
double	phi()	Retrieve the phi Parameter
static C1CartesianPhiAB	Standard(C1Cartesian a, C1Cartesian b, double phi)	Construct a Standard Instance of C1CartesianPhiAB

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

c1Grid, 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 C1CartesianPhiAB Standard(C1Cartesian a,
C1Cartesian b,
double phi)

Construct a Standard Instance of C1CartesianPhiAB

Parameters:

a - "A"

b - "B"

phi - "Phi"

Returns:

C1CartesianPhiAB Instance

a

public C1Cartesian a()

Retrieve the a Parameter

Returns:

a Parameter

b

public C1Cartesian b()

Retrieve the b Parameter

Returns:

b Parameter

phi

public double phi()

Retrieve the phi Parameter

Returns:

phi Parameter

determinant

public double determinant()

Retrieve the Determinant

Overrides:

determinant in class C1Square

Returns:

The Determinant