JSci.maths

Class DoubleSquareMatrix

java.lang.Object

JSci.maths.Matrix

JSci.maths.DoubleMatrix

JSci.maths.DoubleSquareMatrix

All Implemented Interfaces:

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

Direct Known Subclasses:

DoubleSparseSquareMatrix, DoubleTridiagonalMatrix

public class DoubleSquareMatrix
extends DoubleMatrix

The DoubleSquareMatrix class provides an object for encapsulating square matrices containing doubles.

Version:

2.2

Author:

Mark Hale

See Also:

Serialized Form

Field Summary

Fields

Modifier and Type	Field and Description
protected DoubleSquareMatrix[]	LU
protected int[]	LUpivot

Fields inherited from class JSci.maths.DoubleMatrix

ARRAY_2D, matrix

Fields inherited from class JSci.maths.Matrix

CLASS_SPECIFIC, numCols, numRows, storageFormat

Constructor Summary

Constructors

Modifier	Constructor and Description
	DoubleSquareMatrix(double[][] array) Constructs a matrix by wrapping an array.
	DoubleSquareMatrix(DoubleVector[] array) Constructs a matrix from an array of vectors (columns).
	DoubleSquareMatrix(int size) Constructs an empty matrix.
protected	DoubleSquareMatrix(int size, int storeID) Constructs a matrix.

Method Summary

Methods

Modifier and Type	Method and Description
DoubleMatrix	add(DoubleMatrix m) Returns the addition of this matrix and another.
DoubleSquareMatrix	add(DoubleSquareMatrix m) Returns the addition of this matrix and another.
DoubleSquareMatrix[]	choleskyDecompose() Returns the Cholesky decomposition of this matrix.
double	det() Returns the determinant.
DoubleSquareMatrix	inverse() Returns the inverse of this matrix.
boolean	isSymmetric() Returns true if this matrix is symmetric.
boolean	isUnitary() Returns true if this matrix is unitary.
DoubleSquareMatrix[]	luDecompose(int[] pivot) Returns the LU decomposition of this matrix.
DoubleMatrix	mapElements(Mapping f) Applies a function on all the matrix elements.
DoubleSquareMatrix	multiply(DoubleSquareMatrix m) Returns the multiplication of this matrix and another.
DoubleVector	multiply(DoubleVector v) Returns the multiplication of a vector by this matrix.
double	operatorNorm() Returns the operator norm.
DoubleSquareMatrix[]	polarDecompose() Returns the polar decomposition of this matrix.
DoubleMatrix	scalarMultiply(double x) Returns the multiplication of this matrix by a scalar.
double	scalarProduct(DoubleMatrix m) Returns the scalar product of this matrix and another.
double	scalarProduct(DoubleSquareMatrix m) Returns the scalar product of this matrix and another.
DoubleSquareMatrix[]	singularValueDecompose() Returns the singular value decomposition of this matrix.
DoubleMatrix	subtract(DoubleMatrix m) Returns the subtraction of this matrix and another.
DoubleSquareMatrix	subtract(DoubleSquareMatrix m) Returns the subtraction of this matrix by another.
double	trace() Returns the trace.
Matrix	transpose() Returns the transpose of this matrix.

Methods inherited from class JSci.maths.DoubleMatrix

add, directSum, equals, finalize, frobeniusNorm, getElement, hashCode, infNorm, multiply, multiply, negate, scalarDivide, scalarDivide, scalarMultiply, setElement, subtract, tensorProduct, toComplexMatrix, toIntegerMatrix, toString

Methods inherited from class JSci.maths.Matrix

columns, getInvalidElementMsg, rows

Methods inherited from class java.lang.Object

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

Field Detail

LU

protected transient DoubleSquareMatrix[] LU

LUpivot

protected transient int[] LUpivot

Constructor Detail

DoubleSquareMatrix

protected DoubleSquareMatrix(int size,
                  int storeID)

Constructs a matrix.

DoubleSquareMatrix

public DoubleSquareMatrix(int size)

Constructs an empty matrix.

Parameters:

size - the number of rows/columns.

DoubleSquareMatrix

public DoubleSquareMatrix(double[][] array)

Constructs a matrix by wrapping an array.

Parameters:

array - an assigned value.

Throws:

MatrixDimensionException - If the array is not square.

DoubleSquareMatrix

public DoubleSquareMatrix(DoubleVector[] array)

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

Parameters:

array - an assigned value.

Method Detail

isSymmetric

public boolean isSymmetric()

Returns true if this matrix is symmetric.

isUnitary

public boolean isUnitary()

Returns true if this matrix is unitary.

det

public double det()

Returns the determinant.

trace

public double trace()

Returns the trace.

operatorNorm

public double operatorNorm()
                    throws MaximumIterationsExceededException

Returns the operator norm.

Throws:

MaximumIterationsExceededException - If it takes more than 50 iterations to determine an eigenvalue.

add

public DoubleMatrix add(DoubleMatrix m)

Returns the addition of this matrix and another.

Overrides:

add in class DoubleMatrix

Parameters:

m - a double matrix.

Throws:

MatrixDimensionException - If the matrices are different sizes.

add

public DoubleSquareMatrix add(DoubleSquareMatrix m)

Returns the addition of this matrix and another.

Parameters:

m - a double square matrix.

Throws:

MatrixDimensionException - If the matrices are different sizes.

subtract

public DoubleMatrix subtract(DoubleMatrix m)

Returns the subtraction of this matrix and another.

Overrides:

subtract in class DoubleMatrix

Parameters:

m - a double matrix.

Throws:

MatrixDimensionException - If the matrices are different sizes.

subtract

public DoubleSquareMatrix subtract(DoubleSquareMatrix m)

Returns the subtraction of this matrix by another.

Parameters:

m - a double square matrix.

Throws:

MatrixDimensionException - If the matrices are different sizes.

scalarMultiply

public DoubleMatrix scalarMultiply(double x)

Returns the multiplication of this matrix by a scalar.

Overrides:

scalarMultiply in class DoubleMatrix

Parameters:

x - a double.

Returns:

a double square matrix.

scalarProduct

public double scalarProduct(DoubleMatrix m)

Returns the scalar product of this matrix and another.

Overrides:

scalarProduct in class DoubleMatrix

Parameters:

m - a double matrix.

Throws:

MatrixDimensionException - If the matrices are different sizes.

scalarProduct

public double scalarProduct(DoubleSquareMatrix m)

Returns the scalar product of this matrix and another.

Parameters:

m - a double square matrix.

Throws:

MatrixDimensionException - If the matrices are different sizes.

multiply

public DoubleVector multiply(DoubleVector v)

Returns the multiplication of a vector by this matrix.

Overrides:

multiply in class DoubleMatrix

Parameters:

v - a double vector.

Throws:

DimensionException - If the matrix and vector are incompatible.

multiply

public DoubleSquareMatrix multiply(DoubleSquareMatrix m)

Returns the multiplication of this matrix and another.

Parameters:

m - a double square matrix.

Throws:

MatrixDimensionException - If the matrices are incompatible.

transpose

public Matrix transpose()

Returns the transpose of this matrix.

Overrides:

transpose in class DoubleMatrix

Returns:

a double square matrix.

inverse

public DoubleSquareMatrix inverse()

Returns the inverse of this matrix.

Returns:

a double square matrix.

luDecompose

public DoubleSquareMatrix[] luDecompose(int[] pivot)

Returns the LU decomposition of this matrix.

Parameters:

pivot - an empty array of length rows()+1 to hold the pivot information (null if not interested). The last array element will contain the parity.

Returns:

an array with [0] containing the L-matrix and [1] containing the U-matrix.

choleskyDecompose

public DoubleSquareMatrix[] choleskyDecompose()

Returns the Cholesky decomposition of this matrix. Matrix must be symmetric and positive definite.

Returns:

an array with [0] containing the L-matrix and [1] containing the U-matrix.

singularValueDecompose

public DoubleSquareMatrix[] singularValueDecompose()

Returns the singular value decomposition of this matrix. Based on the code from JAMA (public domain).

Returns:

an array with [0] containing the U-matrix, [1] containing the S-matrix and [2] containing the V-matrix.

polarDecompose

public DoubleSquareMatrix[] polarDecompose()

Returns the polar decomposition of this matrix.

mapElements

public DoubleMatrix mapElements(Mapping f)

Applies a function on all the matrix elements.

Overrides:

mapElements in class DoubleMatrix

Parameters:

f - a user-defined function.

Returns:

a double square matrix.