JSci.maths.matrices
Class IntegerMatrix

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

All Implemented Interfaces:

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

public class IntegerMatrix
extends AbstractIntegerMatrix

The IntegerMatrix class provides an object for encapsulating integer matrices.

See Also:

Serialized Form

Field Summary

protected int[][]

matrix Array containing the elements of the matrix.

Fields inherited from class JSci.maths.matrices.Matrix

numCols, numRows

Constructor Summary

IntegerMatrix(AbstractIntegerVector[] array)
Constructs a matrix from an array of vectors (columns).

IntegerMatrix(int[][] array)
Constructs a matrix by wrapping an array.

IntegerMatrix(int rows, int cols)
Constructs an empty matrix.

Method Summary

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, double tol) Compares two ${nativeTyp} matrices for equality.
double	frobeniusNorm() Returns the Frobenius or Hilbert-Schmidt (l2) norm.
int	getElement(int i, int j) Returns an element of the 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.
AbstractIntegerMatrix	multiply(IntegerMatrix m)
AbelianGroup.Member	negate() Returns the negative of this matrix.
AbstractIntegerMatrix	scalarMultiply(int x) Returns the multiplication of this matrix by a scalar.
int	scalarProduct(AbstractIntegerMatrix m) Returns the scalar product of this matrix and another.
int	scalarProduct(IntegerMatrix m)
void	setElement(int i, int j, int x) Sets the value of an element of the matrix.
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.AbstractIntegerMatrix

add, equals, equals, getSet, hashCode, multiply, scalarDivide, scalarMultiply, subtract

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

Field Detail

matrix

protected final int[][] matrix

Array containing the elements of the matrix.

Constructor Detail

IntegerMatrix

public IntegerMatrix(int[][] array)

Constructs a matrix by wrapping an array.

Parameters:

array - an assigned value

IntegerMatrix

public IntegerMatrix(int rows,
                     int cols)

Constructs an empty matrix.

IntegerMatrix

public IntegerMatrix(AbstractIntegerVector[] array)

Constructs a matrix from an array of vectors (columns).

Parameters:

array - an assigned value

Method Detail

equals

public boolean equals(AbstractIntegerMatrix m,
                      double tol)

Compares two ${nativeTyp} matrices for equality.

Overrides:

equals in class AbstractIntegerMatrix

Parameters:

m - a int matrix

toString

public java.lang.String toString()

Returns a string representing this matrix.

Overrides:

toString in class AbstractIntegerMatrix

toDoubleMatrix

public AbstractDoubleMatrix toDoubleMatrix()

Converts this matrix to a double matrix.

Overrides:

toDoubleMatrix in class AbstractIntegerMatrix

Returns:

a double matrix

toComplexMatrix

public AbstractComplexMatrix toComplexMatrix()

Converts this matrix to a complex matrix.

Overrides:

toComplexMatrix in class AbstractIntegerMatrix

Returns:

a complex matrix

getElement

public int getElement(int i,
                      int j)

Returns an element of the matrix.

Specified by:

getElement in class AbstractIntegerMatrix

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,
                       int x)

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

Specified by:

setElement in class AbstractIntegerMatrix

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.

infNorm

public int infNorm()

Returns the l-norm.

Overrides:

infNorm in class AbstractIntegerMatrix

frobeniusNorm

public double frobeniusNorm()

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

Overrides:

frobeniusNorm in class AbstractIntegerMatrix

PlanetMath references:

FrobeniusMatrixNorm

negate

public AbelianGroup.Member negate()

Returns the negative of this matrix.

Specified by:

negate in interface AbelianGroup.Member

Overrides:

negate in class AbstractIntegerMatrix

add

public AbstractIntegerMatrix add(AbstractIntegerMatrix m)

Returns the addition of this matrix and another.

Overrides:

add in class AbstractIntegerMatrix

Parameters:

m - a int matrix

Throws:

MatrixDimensionException - If the matrices are different sizes.

subtract

public AbstractIntegerMatrix subtract(AbstractIntegerMatrix m)

Returns the subtraction of this matrix by another.

Overrides:

subtract in class AbstractIntegerMatrix

Parameters:

m - a int matrix

Throws:

MatrixDimensionException - If the matrices are different sizes.

scalarMultiply

public AbstractIntegerMatrix scalarMultiply(int x)

Returns the multiplication of this matrix by a scalar.

Overrides:

scalarMultiply in class AbstractIntegerMatrix

Parameters:

x - a int.

Returns:

a int matrix.

scalarProduct

public int scalarProduct(AbstractIntegerMatrix m)

Returns the scalar product of this matrix and another.

Overrides:

scalarProduct in class AbstractIntegerMatrix

Parameters:

m - a int matrix.

Throws:

MatrixDimensionException - If the matrices are different sizes.

scalarProduct

public int scalarProduct(IntegerMatrix m)

multiply

public AbstractIntegerVector multiply(AbstractIntegerVector v)

Returns the multiplication of a vector by this matrix.

Overrides:

multiply in class AbstractIntegerMatrix

Parameters:

v - a int vector.

Throws:

DimensionException - If the matrix and vector are incompatible.

multiply

public AbstractIntegerMatrix multiply(AbstractIntegerMatrix m)

Returns the multiplication of this matrix and another.

Overrides:

multiply in class AbstractIntegerMatrix

Parameters:

m - a int matrix

Returns:

a AbstractIntegerMatrix or a AbstractIntegerSquareMatrix as appropriate

Throws:

MatrixDimensionException - If the matrices are incompatible.

multiply

public AbstractIntegerMatrix multiply(IntegerMatrix m)

directSum

public AbstractIntegerMatrix directSum(AbstractIntegerMatrix m)

Returns the direct sum of this matrix and another.

Overrides:

directSum in class AbstractIntegerMatrix

tensor

public AbstractIntegerMatrix tensor(AbstractIntegerMatrix m)

Returns the tensor product of this matrix and another.

Overrides:

tensor in class AbstractIntegerMatrix

transpose

public Matrix transpose()

Returns the transpose of this matrix.

Overrides:

transpose in class AbstractIntegerMatrix

Returns:

a int matrix