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Class JSci.maths.IntegerDiagonalMatrix

java.lang.Object
   |
   +----JSci.maths.Matrix
           |
           +----JSci.maths.IntegerMatrix
                   |
                   +----JSci.maths.IntegerSquareMatrix
                           |
                           +----JSci.maths.IntegerTridiagonalMatrix
                                   |
                                   +----JSci.maths.IntegerDiagonalMatrix

public final class IntegerDiagonalMatrix

extends IntegerTridiagonalMatrix

DIAGONAL

Storage format identifier.

storageFormat

IntegerDiagonalMatrix()

Constructs a matrix.

IntegerDiagonalMatrix(int)

Constructs an empty matrix.

IntegerDiagonalMatrix(int[])

Constructs a matrix by wrapping an array containing the diagonal elements.

IntegerDiagonalMatrix(int[][])

Constructs a matrix from an array.

add(IntegerDiagonalMatrix)

Returns the addition of this matrix and another.

add(IntegerMatrix)

Returns the addition of this matrix and another.

add(IntegerSquareMatrix)

Returns the addition of this matrix and another.

add(IntegerTridiagonalMatrix)

Returns the addition of this matrix and another.

choleskyDecompose()

Returns the Cholesky decomposition of this matrix.

columns()

Returns the number of columns.

det()

Returns the determinant.

equals(Object)

Compares two integer diagonal matrices for equality.

frobeniusNorm()

Returns the Frobenius norm.

getElement(int, int)

Returns an element of the matrix.

identity(int)

Creates an identity matrix.

infNorm()

Returns the l(infinity)-norm.

isSymmetric()

Returns true if this matrix is symmetric.

isUnitary()

Returns true if this matrix is unitary.

luDecompose()

Returns the LU decomposition of this matrix.

multiply(IntegerDiagonalMatrix)

Returns the multiplication of this matrix and another.

multiply(IntegerMatrix)

Returns the multiplication of this matrix and another.

multiply(IntegerSquareMatrix)

Returns the multiplication of this matrix and another.

multiply(IntegerTridiagonalMatrix)

Returns the multiplication of this matrix and another.

multiply(IntegerVector)

Returns the multiplication of a vector by this matrix.

rows()

Returns the number of rows.

scalarMultiply(int)

Returns the multiplication of this matrix by a scalar.

setElement(int, int, int)

Sets the value of an element of the matrix.

subtract(IntegerDiagonalMatrix)

Returns the subtraction of this matrix by another.

subtract(IntegerMatrix)

Returns the subtraction of this matrix and another.

subtract(IntegerSquareMatrix)

Returns the subtraction of this matrix and another.

subtract(IntegerTridiagonalMatrix)

Returns the subtraction of this matrix and another.

toComplexMatrix()

Converts this matrix to a complex matrix.

toDoubleMatrix()

Converts this matrix to a double matrix.

trace()

Returns the trace.

transpose()

Returns the transpose of this matrix.

 protected static final int DIAGONAL

Storage format identifier.

 protected static final int storageFormat

 protected IntegerDiagonalMatrix()

Constructs a matrix.

 public IntegerDiagonalMatrix(int size)

Constructs an empty matrix.

Parameters:

size - the number of rows/columns

 public IntegerDiagonalMatrix(int array[][])

Constructs a matrix from an array.

Parameters:

array - an assigned value

Throws: MatrixDimensionException

If the array is not square.

 public IntegerDiagonalMatrix(int array[])

Constructs a matrix by wrapping an array containing the diagonal elements.

Parameters:

array - an assigned value

 public static IntegerDiagonalMatrix identity(int size)

Creates an identity matrix.

Parameters:

size - the number of rows/columns

 public boolean equals(Object m)

Compares two integer diagonal matrices for equality.

Parameters:

m - a integer diagonal matrix

Overrides:

equals in class IntegerTridiagonalMatrix

 public DoubleMatrix toDoubleMatrix()

Converts this matrix to a double matrix.

Returns:

a double diagonal matrix

Overrides:

toDoubleMatrix in class IntegerTridiagonalMatrix

 public ComplexMatrix toComplexMatrix()

Converts this matrix to a complex matrix.

Returns:

a complex diagonal matrix

Overrides:

toComplexMatrix in class IntegerTridiagonalMatrix

 public 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.

Overrides:

getElement in class IntegerTridiagonalMatrix

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

Sets the value of an element of the matrix.

Parameters:

i - row index of the element

j - column index of the element

x - an integer

Throws: MatrixDimensionException

If attempting to access an invalid element.

Overrides:

setElement in class IntegerTridiagonalMatrix

 public boolean isSymmetric()

Returns true if this matrix is symmetric.

Overrides:

isSymmetric in class IntegerTridiagonalMatrix

 public boolean isUnitary()

Returns true if this matrix is unitary.

Overrides:

isUnitary in class IntegerSquareMatrix

 public int det()

Returns the determinant.

Overrides:

det in class IntegerSquareMatrix

 public int trace()

Returns the trace.

Overrides:

trace in class IntegerTridiagonalMatrix

 public int infNorm()

Returns the l(infinity)-norm.

Overrides:

infNorm in class IntegerTridiagonalMatrix

 public double frobeniusNorm()

Returns the Frobenius norm.

Overrides:

frobeniusNorm in class IntegerTridiagonalMatrix

 public int rows()

Returns the number of rows.

Overrides:

rows in class IntegerTridiagonalMatrix

 public int columns()

Returns the number of columns.

Overrides:

columns in class IntegerTridiagonalMatrix

 public IntegerMatrix add(IntegerMatrix m)

Returns the addition of this matrix and another.

Parameters:

m - an integer matrix

Throws: MatrixDimensionException

If the matrices are different sizes.

Overrides:

add in class IntegerTridiagonalMatrix

 public IntegerSquareMatrix add(IntegerSquareMatrix m)

Returns the addition of this matrix and another.

Parameters:

m - an integer square matrix

Throws: MatrixDimensionException

If the matrices are different sizes.

Overrides:

add in class IntegerTridiagonalMatrix

 public IntegerTridiagonalMatrix add(IntegerTridiagonalMatrix m)

Returns the addition of this matrix and another.

Parameters:

m - an integer tridiagonal matrix

Throws: MatrixDimensionException

If the matrices are different sizes.

Overrides:

add in class IntegerTridiagonalMatrix

 public IntegerDiagonalMatrix add(IntegerDiagonalMatrix m)

Returns the addition of this matrix and another.

Parameters:

m - an integer diagonal matrix

Throws: MatrixDimensionException

If the matrices are different sizes.

 public IntegerMatrix subtract(IntegerMatrix m)

Returns the subtraction of this matrix and another.

Parameters:

m - an integer matrix

Throws: MatrixDimensionException

If the matrices are different sizes.

Overrides:

subtract in class IntegerTridiagonalMatrix

 public IntegerSquareMatrix subtract(IntegerSquareMatrix m)

Returns the subtraction of this matrix and another.

Parameters:

m - an integer square matrix

Throws: MatrixDimensionException

If the matrices are different sizes.

Overrides:

subtract in class IntegerTridiagonalMatrix

 public IntegerTridiagonalMatrix subtract(IntegerTridiagonalMatrix m)

Returns the subtraction of this matrix and another.

Parameters:

m - an integer tridiagonal matrix

Throws: MatrixDimensionException

If the matrices are different sizes.

Overrides:

subtract in class IntegerTridiagonalMatrix

 public IntegerDiagonalMatrix subtract(IntegerDiagonalMatrix m)

Returns the subtraction of this matrix by another.

Parameters:

m - an integer diagonal matrix

Throws: MatrixDimensionException

If the matrices are different sizes.

 public IntegerMatrix scalarMultiply(int x)

Returns the multiplication of this matrix by a scalar.

Parameters:

x - an integer

Returns:

an integer diagonal matrix

Overrides:

scalarMultiply in class IntegerTridiagonalMatrix

 public IntegerVector multiply(IntegerVector v)

Returns the multiplication of a vector by this matrix.

Parameters:

v - an integer vector

Throws: DimensionException

If the matrix and vector are incompatible.

Overrides:

multiply in class IntegerTridiagonalMatrix

 public IntegerMatrix multiply(IntegerMatrix m)

Returns the multiplication of this matrix and another.

Parameters:

m - an integer matrix

Throws: MatrixDimensionException

If the matrices are different sizes.

Overrides:

multiply in class IntegerTridiagonalMatrix

 public IntegerSquareMatrix multiply(IntegerSquareMatrix m)

Returns the multiplication of this matrix and another.

Parameters:

m - an integer square matrix

Throws: MatrixDimensionException

If the matrices are different sizes.

Overrides:

multiply in class IntegerTridiagonalMatrix

 public IntegerSquareMatrix multiply(IntegerTridiagonalMatrix m)

Returns the multiplication of this matrix and another.

Parameters:

m - an integer tridiagonal matrix

Throws: MatrixDimensionException

If the matrices are different sizes.

Overrides:

multiply in class IntegerTridiagonalMatrix

 public IntegerDiagonalMatrix multiply(IntegerDiagonalMatrix m)

Returns the multiplication of this matrix and another.

Parameters:

m - an integer diagonal matrix

Throws: MatrixDimensionException

If the matrices are different sizes.

 public Matrix transpose()

Returns the transpose of this matrix.

Returns:

an integer diagonal matrix

Overrides:

transpose in class IntegerTridiagonalMatrix

 public DoubleSquareMatrix[] luDecompose()

Returns the LU decomposition of this matrix.

Returns:

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

Overrides:

luDecompose in class IntegerTridiagonalMatrix

 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.

Overrides:

choleskyDecompose in class IntegerTridiagonalMatrix

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