jsci.maths.matrices

Class RingMatrix

java.lang.Object

jsci.maths.matrices.Matrix

jsci.maths.matrices.RingMatrix

All Implemented Interfaces:

java.io.Serializable, Algebra.Member, Module.Member, VectorSpace.Member, Ring.Member, AbelianGroup.Member, Member

public class RingMatrix
extends Matrix

The RingMatrix class provides an object for encapsulating matrices over an arbitrary ring.

See Also:

Serialized Form

Constructor Summary

Constructors

Constructor and Description
RingMatrix(Ring.Member[][] array) Constructs a matrix by wrapping an array.

Method Summary

Modifier and Type	Method and Description
AbelianGroup.Member	add(AbelianGroup.Member m) Returns the addition of this matrix and another.
RingMatrix	add(RingMatrix m) Returns the addition of this matrix and another.
RingMatrix	directSum(RingMatrix m) Returns the direct sum of this matrix and another.
boolean	equals(java.lang.Object m) Compares two matrices for equality.
Ring.Member	getElement(int i, int j) Returns an element of the matrix.
java.lang.Object	getSet()
Ring.Member	multiply(Ring.Member m) Returns the multiplication of this matrix and another.
RingMatrix	multiply(RingMatrix m) Returns the multiplication of this matrix and another.
AbelianGroup.Member	negate() Returns the negative of this matrix.
VectorSpace.Member	scalarDivide(Field.Member x) Returns the division of this matrix by a scalar.
Module.Member	scalarMultiply(Ring.Member r) Returns the multiplication of this matrix by a scalar.
void	setElement(int i, int j, Ring.Member r) Sets the value of an element of the matrix.
AbelianGroup.Member	subtract(AbelianGroup.Member m) Returns the subtraction of this matrix and another.
RingMatrix	subtract(RingMatrix m) Returns the subtraction of this matrix and another.
RingMatrix	tensor(RingMatrix m) Returns the tensor product of this matrix and another.
java.lang.String	toString() Returns a string representing this matrix.
Matrix	transpose() Returns the transpose of this matrix.

Methods inherited from class jsci.maths.matrices.Matrix

columns, rows

Methods inherited from class java.lang.Object

getClass, hashCode, notify, notifyAll, wait, wait, wait

Constructor Detail

RingMatrix

public RingMatrix(Ring.Member[][] array)

Constructs a matrix by wrapping an array.

Parameters:

array - an assigned value

Method Detail

equals

public boolean equals(java.lang.Object m)

Compares two matrices for equality.

Overrides:

equals in class java.lang.Object

Parameters:

m - a matrix

toString

public java.lang.String toString()

Returns a string representing this matrix.

Overrides:

toString in class java.lang.Object

getElement

public Ring.Member getElement(int i,
                              int j)

Returns an element of the matrix.

Parameters:

i - row index of the element

j - column index of the element

Throws:

MatrixDimensionException - If attempting to access an invalid element.

setElement

public void setElement(int i,
                       int j,
                       Ring.Member r)

Sets the value of an element of the matrix.

Parameters:

i - row index of the element

j - column index of the element

r - a ring element

Throws:

MatrixDimensionException - If attempting to access an invalid element.

getSet

public java.lang.Object getSet()

negate

public AbelianGroup.Member negate()

Returns the negative of this matrix.

add

public final AbelianGroup.Member add(AbelianGroup.Member m)

Returns the addition of this matrix and another.

Parameters:

m - a group member

add

public RingMatrix add(RingMatrix m)

Returns the addition of this matrix and another.

Parameters:

m - a matrix

Throws:

MatrixDimensionException - If the matrices are different sizes.

subtract

public final AbelianGroup.Member subtract(AbelianGroup.Member m)

Returns the subtraction of this matrix and another.

Parameters:

m - a group member

subtract

public RingMatrix subtract(RingMatrix m)

Returns the subtraction of this matrix and another.

Parameters:

m - a matrix

Throws:

MatrixDimensionException - If the matrices are different sizes.

scalarMultiply

public Module.Member scalarMultiply(Ring.Member r)

Returns the multiplication of this matrix by a scalar.

Parameters:

r - a ring element.

scalarDivide

public VectorSpace.Member scalarDivide(Field.Member x)

Returns the division of this matrix by a scalar.

Parameters:

x - a field element.

multiply

public final Ring.Member multiply(Ring.Member m)

Returns the multiplication of this matrix and another.

Parameters:

m - a ring member

multiply

public RingMatrix multiply(RingMatrix m)

Returns the multiplication of this matrix and another.

Parameters:

m - a matrix

Throws:

MatrixDimensionException - If the matrices are incompatible.

directSum

public RingMatrix directSum(RingMatrix m)

Returns the direct sum of this matrix and another.

tensor

public RingMatrix tensor(RingMatrix m)

Returns the tensor product of this matrix and another.

transpose

public Matrix transpose()

Returns the transpose of this matrix.

Specified by:

transpose in class Matrix

Returns:

a matrix