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Class JSci.maths.ComplexSquareMatrix

java.lang.Object
   |
   +----JSci.maths.Matrix
           |
           +----JSci.maths.ComplexMatrix
                   |
                   +----JSci.maths.ComplexSquareMatrix

public class ComplexSquareMatrix

extends ComplexMatrix

ComplexSquareMatrix()

Constructs a matrix.

ComplexSquareMatrix(Complex[][])

Constructs a matrix by wrapping an array.

ComplexSquareMatrix(ComplexVector[])

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

ComplexSquareMatrix(int)

Constructs an empty matrix.

add(ComplexMatrix)

Returns the addition of this matrix and another.

add(ComplexSquareMatrix)

Returns the addition of this matrix and another.

conjugate()

Returns the complex conjugate of this matrix.

det()

Returns the determinant.

hermitianAdjoint()

Returns the hermitian adjoint of this matrix.

inverse()

Returns the inverse of this matrix.

isHermitian()

Returns true if this matrix is hermitian.

isUnitary()

Returns true if this matrix is unitary.

luDecompose()

Returns the LU decomposition of this matrix.

mapElements(Mapping)

Applies a function on all the matrix elements.

multiply(ComplexMatrix)

Returns the multiplication of this matrix and another.

multiply(ComplexSquareMatrix)

Returns the multiplication of this matrix and another.

multiply(ComplexVector)

Returns the multiplication of a vector by this matrix.

scalarMultiply(Complex)

Returns the multiplication of this matrix by a scalar.

scalarMultiply(double)

Returns the multiplication of this matrix by a scalar.

subtract(ComplexMatrix)

Returns the subtraction of this matrix by another.

subtract(ComplexSquareMatrix)

Returns the subtraction of this matrix by another.

trace()

Returns the trace.

transpose()

Returns the transpose of this matrix.

 protected ComplexSquareMatrix()

Constructs a matrix.

 public ComplexSquareMatrix(int size)

Constructs an empty matrix.

Parameters:

size - the number of rows/columns

 public ComplexSquareMatrix(Complex array[][])

Constructs a matrix by wrapping an array.

Parameters:

array - an assigned value

Throws: MatrixDimensionException

If the array is not square.

 public ComplexSquareMatrix(ComplexVector array[])

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

Parameters:

array - an assigned value

 public boolean isHermitian()

Returns true if this matrix is hermitian.

 public boolean isUnitary()

Returns true if this matrix is unitary.

 public Complex det()

Returns the determinant.

 public Complex trace()

Returns the trace.

 public ComplexMatrix add(ComplexMatrix m)

Returns the addition of this matrix and another.

Parameters:

m - a complex matrix

Throws: MatrixDimensionException

If the matrices are different sizes.

Overrides:

add in class ComplexMatrix

 public ComplexSquareMatrix add(ComplexSquareMatrix m)

Returns the addition of this matrix and another.

Parameters:

m - a complex square matrix

Throws: MatrixDimensionException

If the matrices are different sizes.

 public ComplexMatrix subtract(ComplexMatrix m)

Returns the subtraction of this matrix by another.

Parameters:

m - a complex matrix

Throws: MatrixDimensionException

If the matrices are different sizes.

Overrides:

subtract in class ComplexMatrix

 public ComplexSquareMatrix subtract(ComplexSquareMatrix m)

Returns the subtraction of this matrix by another.

Parameters:

m - a complex square matrix

Throws: MatrixDimensionException

If the matrices are different sizes.

 public ComplexMatrix scalarMultiply(Complex z)

Returns the multiplication of this matrix by a scalar.

Parameters:

z - a complex number

Returns:

a complex square matrix

Overrides:

scalarMultiply in class ComplexMatrix

 public ComplexMatrix scalarMultiply(double x)

Returns the multiplication of this matrix by a scalar.

Parameters:

x - a double

Returns:

a complex square matrix

Overrides:

scalarMultiply in class ComplexMatrix

 public ComplexVector multiply(ComplexVector v)

Returns the multiplication of a vector by this matrix.

Parameters:

v - a complex vector

Throws: DimensionException

If the matrix and vector are incompatible.

Overrides:

multiply in class ComplexMatrix

 public ComplexMatrix multiply(ComplexMatrix m)

Returns the multiplication of this matrix and another.

Parameters:

m - a complex matrix

Throws: MatrixDimensionException

If the matrices are incompatible.

Overrides:

multiply in class ComplexMatrix

 public ComplexSquareMatrix multiply(ComplexSquareMatrix m)

Returns the multiplication of this matrix and another.

Parameters:

m - a complex square matrix

Throws: MatrixDimensionException

If the matrices are incompatible.

 public ComplexMatrix hermitianAdjoint()

Returns the hermitian adjoint of this matrix.

Returns:

a complex square matrix

Overrides:

hermitianAdjoint in class ComplexMatrix

 public ComplexMatrix conjugate()

Returns the complex conjugate of this matrix.

Returns:

a complex square matrix

Overrides:

conjugate in class ComplexMatrix

 public Matrix transpose()

Returns the transpose of this matrix.

Returns:

a complex square matrix

Overrides:

transpose in class ComplexMatrix

 public ComplexSquareMatrix inverse()

Returns the inverse of this matrix.

Returns:

a complex square matrix

 public ComplexSquareMatrix[] luDecompose()

Returns the LU decomposition of this matrix.

Returns:

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

 public ComplexMatrix mapElements(Mapping f)

Applies a function on all the matrix elements.

Parameters:

f - a user-defined function

Returns:

a complex square matrix

Overrides:

mapElements in class ComplexMatrix

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