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Class JSci.maths.IntegerTridiagonalMatrix

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

public class IntegerTridiagonalMatrix

extends IntegerSquareMatrix

storageFormat

TRIDIAGONAL

Storage format identifier.

IntegerTridiagonalMatrix()

Constructs a matrix.

IntegerTridiagonalMatrix(int)

Constructs an empty matrix.

IntegerTridiagonalMatrix(int[][])

Constructs a matrix from an array.

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.

equals(Object)

Compares two integer tridiagonal matrices for equality.

frobeniusNorm()

Returns the Frobenius norm.

getElement(int, int)

Returns an element of the matrix.

infNorm()

Returns the l(infinity)-norm.

isSymmetric()

Returns true if this matrix is symmetric.

luDecompose()

Returns the LU decomposition of this matrix.

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(IntegerMatrix)

Returns the subtraction of this matrix and another.

subtract(IntegerSquareMatrix)

Returns the subtraction of this matrix by another.

subtract(IntegerTridiagonalMatrix)

Returns the subtraction of this matrix by another.

toComplexMatrix()

Converts this matrix to a complex matrix.

toDoubleMatrix()

Converts this matrix to a double matrix.

toString()

Returns a string representing this matrix.

trace()

Returns the trace.

transpose()

Returns the transpose of this matrix.

 protected static final int TRIDIAGONAL

Storage format identifier.

 protected static final int storageFormat

 protected IntegerTridiagonalMatrix()

Constructs a matrix.

 public IntegerTridiagonalMatrix(int size)

Constructs an empty matrix.

Parameters:

size - the number of rows/columns

 public IntegerTridiagonalMatrix(int array[][])

Constructs a matrix from an array. Any non-tridiagonal elements in the array are ignored.

Parameters:

array - an assigned value

Throws: MatrixDimensionException

If the array is not square.

 public boolean equals(Object m)

Compares two integer tridiagonal matrices for equality.

Parameters:

m - a integer tridiagonal matrix

Overrides:

equals in class IntegerMatrix

 public String toString()

Returns a string representing this matrix.

Overrides:

toString in class IntegerMatrix

 public DoubleMatrix toDoubleMatrix()

Converts this matrix to a double matrix.

Returns:

a double tridiagonal matrix

Overrides:

toDoubleMatrix in class IntegerMatrix

 public ComplexMatrix toComplexMatrix()

Converts this matrix to a complex matrix.

Returns:

a complex tridiagonal matrix

Overrides:

toComplexMatrix in class IntegerMatrix

 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 IntegerMatrix

 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 - a number

Throws: MatrixDimensionException

If attempting to access an invalid element.

Overrides:

setElement in class IntegerMatrix

 public boolean isSymmetric()

Returns true if this matrix is symmetric.

Overrides:

isSymmetric in class IntegerSquareMatrix

 public int trace()

Returns the trace.

Overrides:

trace in class IntegerSquareMatrix

 public int infNorm()

Returns the l(infinity)-norm.

Overrides:

infNorm in class IntegerMatrix

 public double frobeniusNorm()

Returns the Frobenius norm.

Overrides:

frobeniusNorm in class IntegerMatrix

 public int rows()

Returns the number of rows.

Overrides:

rows in class IntegerMatrix

 public int columns()

Returns the number of columns.

Overrides:

columns in class IntegerMatrix

 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 IntegerSquareMatrix

 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 IntegerSquareMatrix

 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.

 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 IntegerSquareMatrix

 public IntegerSquareMatrix subtract(IntegerSquareMatrix m)

Returns the subtraction of this matrix by another.

Parameters:

m - an integer square matrix

Throws: MatrixDimensionException

If the matrices are different sizes.

Overrides:

subtract in class IntegerSquareMatrix

 public IntegerTridiagonalMatrix subtract(IntegerTridiagonalMatrix m)

Returns the subtraction of this matrix by another.

Parameters:

m - an integer tridiagonal 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 tridiagonal matrix

Overrides:

scalarMultiply in class IntegerSquareMatrix

 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 IntegerSquareMatrix

 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 IntegerSquareMatrix

 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 IntegerSquareMatrix

 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.

 public Matrix transpose()

Returns the transpose of this matrix.

Returns:

an integer tridiagonal matrix

Overrides:

transpose in class IntegerSquareMatrix

 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 IntegerSquareMatrix

 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.

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