JSci.maths.matrices
Class AbstractIntegerMatrix

java.lang.Object
  JSci.maths.matrices.Matrix
      JSci.maths.matrices.AbstractIntegerMatrix

All Implemented Interfaces:

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

Direct Known Subclasses:

AbstractIntegerSquareMatrix, IntegerMatrix

public abstract class AbstractIntegerMatrix
extends Matrix

The AbstractIntegerMatrix class provides an object for encapsulating integer matrices.

See Also:

Serialized Form

Field Summary

Fields inherited from class JSci.maths.matrices.Matrix

numCols, numRows

Constructor Summary

protected

AbstractIntegerMatrix(int rows, int cols) Constructs a matrix.

Method Summary

AbelianGroup.Member	add(AbelianGroup.Member m) Returns the addition of this matrix and another.
AbstractIntegerMatrix	add(AbstractIntegerMatrix m) Returns the addition of this matrix and another.
AbstractIntegerMatrix	directSum(AbstractIntegerMatrix m) Returns the direct sum of this matrix and another.
boolean	equals(AbstractIntegerMatrix m) Compares two ${nativeTyp} matrices for equality.
boolean	equals(AbstractIntegerMatrix m, double tol)
boolean	equals(java.lang.Object obj) Compares two ${nativeTyp} matrices for equality.
double	frobeniusNorm() Returns the Frobenius or Hilbert-Schmidt (l2) norm.
abstract int	getElement(int i, int j) Returns an element of the matrix.
java.lang.Object	getSet()
int	hashCode() Returns a hashcode for this matrix.
int	infNorm() Returns the l-norm.
AbstractIntegerMatrix	multiply(AbstractIntegerMatrix m) Returns the multiplication of this matrix and another.
AbstractIntegerVector	multiply(AbstractIntegerVector v) Returns the multiplication of a vector by this matrix.
Ring.Member	multiply(Ring.Member 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.
AbstractIntegerMatrix	scalarMultiply(int x) Returns the multiplication of this matrix by a scalar.
Module.Member	scalarMultiply(Ring.Member x) Returns the multiplication of this matrix by a scalar.
int	scalarProduct(AbstractIntegerMatrix m) Returns the scalar product of this matrix and another.
abstract void	setElement(int i, int j, int x) Sets the value of an element of the matrix.
AbelianGroup.Member	subtract(AbelianGroup.Member m) Returns the subtraction of this matrix by another.
AbstractIntegerMatrix	subtract(AbstractIntegerMatrix m) Returns the subtraction of this matrix by another.
AbstractIntegerMatrix	tensor(AbstractIntegerMatrix m) Returns the tensor product of this matrix and another.
AbstractComplexMatrix	toComplexMatrix() Converts this matrix to a complex matrix.
AbstractDoubleMatrix	toDoubleMatrix() Converts this matrix to a double matrix.
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, getInvalidElementMsg, rows

Methods inherited from class java.lang.Object

clone, finalize, getClass, notify, notifyAll, wait, wait, wait

Constructor Detail

AbstractIntegerMatrix

protected AbstractIntegerMatrix(int rows,
                                int cols)

Constructs a matrix.

Method Detail

equals

public final boolean equals(java.lang.Object obj)

Compares two ${nativeTyp} matrices for equality.

Overrides:

equals in class java.lang.Object

Parameters:

obj - a int matrix

equals

public final boolean equals(AbstractIntegerMatrix m)

Compares two ${nativeTyp} matrices for equality. Two matrices are considered to be equal if the Frobenius norm of their difference is within the zero tolerance.

Parameters:

m - a int matrix

equals

public boolean equals(AbstractIntegerMatrix m,
                      double tol)

toString

public java.lang.String toString()

Returns a string representing this matrix.

Overrides:

toString in class java.lang.Object

hashCode

public int hashCode()

Returns a hashcode for this matrix.

Overrides:

hashCode in class java.lang.Object

toDoubleMatrix

public AbstractDoubleMatrix toDoubleMatrix()

Converts this matrix to a double matrix.

Returns:

a double matrix

toComplexMatrix

public AbstractComplexMatrix toComplexMatrix()

Converts this matrix to a complex matrix.

Returns:

a complex matrix

getElement

public abstract int 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 abstract void setElement(int i,
                                int j,
                                int x)

Sets the value of an element of the matrix. Should only be used to initialise this matrix.

Parameters:

i - row index of the element

j - column index of the element

x - a number

Throws:

MatrixDimensionException - If attempting to access an invalid element.

getSet

public final java.lang.Object getSet()

infNorm

public int infNorm()

Returns the l-norm.

frobeniusNorm

public double frobeniusNorm()

Returns the Frobenius or Hilbert-Schmidt (l²) norm.

PlanetMath references:

FrobeniusMatrixNorm

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 AbstractIntegerMatrix add(AbstractIntegerMatrix m)

Returns the addition of this matrix and another.

Parameters:

m - a int matrix

Throws:

MatrixDimensionException - If the matrices are different sizes.

subtract

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

Returns the subtraction of this matrix by another.

Parameters:

m - a group member

subtract

public AbstractIntegerMatrix subtract(AbstractIntegerMatrix m)

Returns the subtraction of this matrix by another.

Parameters:

m - a int matrix

Throws:

MatrixDimensionException - If the matrices are different sizes.

scalarMultiply

public final Module.Member scalarMultiply(Ring.Member x)

Returns the multiplication of this matrix by a scalar.

Parameters:

x - a ring member

scalarMultiply

public AbstractIntegerMatrix scalarMultiply(int x)

Returns the multiplication of this matrix by a scalar.

Parameters:

x - a int.

Returns:

a int matrix.

scalarDivide

public final VectorSpace.Member scalarDivide(Field.Member x)

Returns the division of this matrix by a scalar. Always throws an exception.

Parameters:

x - a field member

scalarProduct

public int scalarProduct(AbstractIntegerMatrix m)

Returns the scalar product of this matrix and another.

Parameters:

m - a int matrix.

Throws:

MatrixDimensionException - If the matrices are different sizes.

multiply

public AbstractIntegerVector multiply(AbstractIntegerVector v)

Returns the multiplication of a vector by this matrix.

Parameters:

v - a int vector.

Throws:

DimensionException - If the matrix and vector are incompatible.

multiply

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

Returns the multiplication of this matrix and another.

Parameters:

m - a ring member

multiply

public AbstractIntegerMatrix multiply(AbstractIntegerMatrix m)

Returns the multiplication of this matrix and another.

Parameters:

m - a int matrix

Returns:

a AbstractIntegerMatrix or a AbstractIntegerSquareMatrix as appropriate

Throws:

MatrixDimensionException - If the matrices are incompatible.

directSum

public AbstractIntegerMatrix directSum(AbstractIntegerMatrix m)

Returns the direct sum of this matrix and another.

tensor

public AbstractIntegerMatrix tensor(AbstractIntegerMatrix 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 int matrix