Class ComplexMatrix

java.lang.Object
  |
  +--ComplexMatrix

class ComplexMatrix

extends java.lang.Object

Represents a 2x2 matrix of complex numbers. The implementation is such that instances of ComplexMatrix are immutable; operations should be combined through composition and cascading of method invokations.

Field Summary

protected Complex	a
protected Complex	b
protected Complex	c
protected Complex	d
static ComplexMatrix	IDENTITY

Constructor Summary

ComplexMatrix()
Creates a new identity matrix

ComplexMatrix(Complex a, Complex b, Complex c, Complex d)
Creates a new complex matrix.

ComplexMatrix(double a, double b, double c, double d)
Creates a real-valued complex matrix.

Method Summary

ComplexMatrix	multiply(ComplexMatrix m) Computes the product of two matrices.
ComplexMatrix	multiply(double v) Scales all entries in this matric by a real number
java.lang.String	toString()

Methods inherited from class java.lang.Object

, clone, equals, finalize, getClass, hashCode, notify, notifyAll, registerNatives, wait, wait, wait

Field Detail

a

protected Complex a

b

protected Complex b

c

protected Complex c

d

protected Complex d

IDENTITY

public static final ComplexMatrix IDENTITY

Constructor Detail

ComplexMatrix

public ComplexMatrix(Complex a,
                     Complex b,
                     Complex c,
                     Complex d)

Creates a new complex matrix. Entries are as pictured:

/ a b \
\ c d /

ComplexMatrix

public ComplexMatrix(double a,
                     double b,
                     double c,
                     double d)

Creates a real-valued complex matrix. Entries are as pictured:

/ a b \
\ c d /

ComplexMatrix

public ComplexMatrix()

Creates a new identity matrix

Method Detail

multiply

public ComplexMatrix multiply(ComplexMatrix m)

Computes the product of two matrices. The product M = ABC should be coded as M = A.multiply(B.multiply(C)) or M = A.multiply(B).multiply(C); these are equivalent due to associativity.

Returns:

this*m

multiply

public ComplexMatrix multiply(double v)

Scales all entries in this matric by a real number

Parameters:

v - The scaling factor

Returns:

The scaled matrix

toString

public java.lang.String toString()

Overrides:

toString in class java.lang.Object

Returns:

A string representation of this matrix, of the form (a,b,c,d)