Java Doc for ComplexTridiagonalMatrix.java in  » Science » JSci » JSci » maths » matrices » Java Source Code / Java DocumentationJava Source Code and Java Documentation

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Java Source Code / Java Documentation » Science » JSci » JSci.maths.matrices   Source Cross Reference   Class Diagram   Java Document (Java Doc)   java.lang.Object    JSci.maths.matrices.Matrix       JSci.maths.matrices.AbstractComplexMatrix          JSci.maths.matrices.AbstractComplexSquareMatrix             JSci.maths.matrices.ComplexTridiagonalMatrix ComplexTridiagonalMatrix public class ComplexTridiagonalMatrix extends AbstractComplexSquareMatrix implements TridiagonalMatrix(Code) The ComplexTridiagonalMatrix class provides an object for encapsulating tridiagonal matrices containing complex numbers. Uses compressed diagonal storage. version:    2.2 author:    Mark Hale Field Summary final protected  double diagRediagIm      final protected  double ldiagReldiagIm      Tridiagonal data. final protected  double udiagReudiagIm      Constructor Summary public   ComplexTridiagonalMatrix(int size)      Constructs an empty matrix. public   ComplexTridiagonalMatrix(Complex array)      Constructs a matrix from an array. Method Summary public  AbstractComplexSquareMatrix add(AbstractComplexSquareMatrix m)      Returns the addition of this matrix and another. public  ComplexSquareMatrix add(ComplexSquareMatrix m)      public  ComplexTridiagonalMatrix add(ComplexTridiagonalMatrix m)      public  AbstractComplexMatrix conjugate()      Returns the complex conjugate of this matrix. public  boolean equals(AbstractComplexMatrix m, double tol)      Compares two complex matrices for equality. public  double frobeniusNorm()      Returns the Frobenius (l2) norm. public  Complex getElement(int i, int j)      Returns an element of the matrix. public  double getImagElement(int i, int j)      public  double getRealElement(int i, int j)      public  AbstractComplexMatrix hermitianAdjoint()      Returns the hermitian adjoint of this matrix. public  AbstractDoubleMatrix imag()      Returns the imaginary part of this complex matrix. public  double infNorm()      Returns the l-norm. public  AbstractComplexMatrix mapElements(ComplexMapping f)      Applies a function on all the matrix elements. public  AbstractComplexVector multiply(AbstractComplexVector v)      Returns the multiplication of a vector by this matrix. public  AbstractComplexSquareMatrix multiply(AbstractComplexSquareMatrix m)      Returns the multiplication of this matrix and another. public  ComplexSquareMatrix multiply(ComplexSquareMatrix m)      public  ComplexSquareMatrix multiply(ComplexTridiagonalMatrix m)      Returns the multiplication of this matrix and another. public  double operatorNorm()      Returns the operator norm. public  AbstractDoubleMatrix real()      Returns the real part of this complex matrix. public  AbstractComplexMatrix scalarMultiply(Complex z)      Returns the multiplication of this matrix by a scalar. public  AbstractComplexMatrix scalarMultiply(double x)      Returns the multiplication of this matrix by a scalar. public  void setElement(int i, int j, Complex z)      Sets the value of an element of the matrix. public  void setElement(int i, int j, double x, double y)      Sets the value of an element of the matrix. public  AbstractComplexSquareMatrix subtract(AbstractComplexSquareMatrix m)      Returns the subtraction of this matrix and another. public  ComplexSquareMatrix subtract(ComplexSquareMatrix m)      public  ComplexTridiagonalMatrix subtract(ComplexTridiagonalMatrix m)      Returns the subtraction of this matrix and another. public  String toString()      Returns a string representing this matrix. public  Complex trace()      Returns the trace. public  Matrix transpose()      Returns the transpose of this matrix. Field Detail diagRediagIm final protected double diagRediagIm(Code) ldiagReldiagIm final protected double ldiagReldiagIm(Code) Tridiagonal data. udiagReudiagIm final protected double udiagReudiagIm(Code) Constructor Detail ComplexTridiagonalMatrix public ComplexTridiagonalMatrix(int size)(Code) Constructs an empty matrix. Parameters:   size - the number of rows/columns ComplexTridiagonalMatrix public ComplexTridiagonalMatrix(Complex array)(Code) Constructs a matrix from an array. Any non-tridiagonal elements in the array are ignored. Parameters:   array - an assigned value exception:   MatrixDimensionException - If the array is not square. Method Detail add public AbstractComplexSquareMatrix add(AbstractComplexSquareMatrix m)(Code) Returns the addition of this matrix and another. Parameters:   m - a complex matrix exception:   MatrixDimensionException - If the matrices are different sizes. add public ComplexSquareMatrix add(ComplexSquareMatrix m)(Code) add public ComplexTridiagonalMatrix add(ComplexTridiagonalMatrix m)(Code) conjugate public AbstractComplexMatrix conjugate()(Code) Returns the complex conjugate of this matrix. a complex tridiagonal matrix equals public boolean equals(AbstractComplexMatrix m, double tol)(Code) Compares two complex matrices for equality. Parameters:   m - a complex matrix frobeniusNorm public double frobeniusNorm()(Code) Returns the Frobenius (l2) norm. author:    Taber Smith getElement public Complex getElement(int i, int j)(Code) Returns an element of the matrix. Parameters:   i - row index of the element Parameters:   j - column index of the element exception:   MatrixDimensionException - If attempting to access an invalid element. getImagElement public double getImagElement(int i, int j)(Code) getRealElement public double getRealElement(int i, int j)(Code) hermitianAdjoint public AbstractComplexMatrix hermitianAdjoint()(Code) Returns the hermitian adjoint of this matrix. a complex tridiagonal matrix imag public AbstractDoubleMatrix imag()(Code) Returns the imaginary part of this complex matrix. a double tridiagonal matrix infNorm public double infNorm()(Code) Returns the l-norm. author:    Taber Smith mapElements public AbstractComplexMatrix mapElements(ComplexMapping f)(Code) Applies a function on all the matrix elements. Parameters:   f - a user-defined function a complex tridiagonal matrix multiply public AbstractComplexVector multiply(AbstractComplexVector v)(Code) Returns the multiplication of a vector by this matrix. Parameters:   v - a complex vector exception:   DimensionException - If the matrix and vector are incompatible. multiply public AbstractComplexSquareMatrix multiply(AbstractComplexSquareMatrix m)(Code) Returns the multiplication of this matrix and another. Parameters:   m - a complex matrix exception:   MatrixDimensionException - If the matrices are different sizes. multiply public ComplexSquareMatrix multiply(ComplexSquareMatrix m)(Code) multiply public ComplexSquareMatrix multiply(ComplexTridiagonalMatrix m)(Code) Returns the multiplication of this matrix and another. Parameters:   m - a complex tridiagonal matrix exception:   MatrixDimensionException - If the matrices are different sizes. operatorNorm public double operatorNorm() throws MaximumIterationsExceededException(Code) Returns the operator norm. exception:   MaximumIterationsExceededException - If it takes more than 50 iterations to determine an eigenvalue. real public AbstractDoubleMatrix real()(Code) Returns the real part of this complex matrix. a double tridiagonal matrix scalarMultiply public AbstractComplexMatrix scalarMultiply(Complex z)(Code) Returns the multiplication of this matrix by a scalar. Parameters:   z - a complex number a complex tridiagonal matrix scalarMultiply public AbstractComplexMatrix scalarMultiply(double x)(Code) Returns the multiplication of this matrix by a scalar. Parameters:   x - a double a complex tridiagonal matrix setElement public void setElement(int i, int j, Complex z)(Code) Sets the value of an element of the matrix. Should only be used to initialise this matrix. Parameters:   i - row index of the element Parameters:   j - column index of the element Parameters:   z - a complex number exception:   MatrixDimensionException - If attempting to access an invalid element. setElement public void setElement(int i, int j, double x, double y)(Code) Sets the value of an element of the matrix. Should only be used to initialise this matrix. Parameters:   i - row index of the element Parameters:   j - column index of the element Parameters:   x - the real part of a complex number Parameters:   y - the imaginary part of a complex number exception:   MatrixDimensionException - If attempting to access an invalid element. subtract public AbstractComplexSquareMatrix subtract(AbstractComplexSquareMatrix m)(Code) Returns the subtraction of this matrix and another. Parameters:   m - a complex matrix exception:   MatrixDimensionException - If the matrices are different sizes. subtract public ComplexSquareMatrix subtract(ComplexSquareMatrix m)(Code) subtract public ComplexTridiagonalMatrix subtract(ComplexTridiagonalMatrix m)(Code) Returns the subtraction of this matrix and another. Parameters:   m - a complex tridiagonal matrix exception:   MatrixDimensionException - If the matrices are different sizes. toString public String toString()(Code) Returns a string representing this matrix. trace public Complex trace()(Code) Returns the trace. transpose public Matrix transpose()(Code) Returns the transpose of this matrix. a complex tridiagonal matrix Fields inherited from JSci.maths.matrices.AbstractComplexSquareMatrix protected transient AbstractComplexSquareMatrix[] LU(Code)(Java Doc) protected transient int[] LUpivot(Code)(Java Doc) Methods inherited from JSci.maths.matrices.AbstractComplexSquareMatrix final public AbstractComplexMatrix add(AbstractComplexMatrix m)(Code)(Java Doc) public AbstractComplexSquareMatrix add(AbstractComplexSquareMatrix m)(Code)(Java Doc) public AbstractComplexMatrix conjugate()(Code)(Java Doc) public Complex det()(Code)(Java Doc) public AbstractComplexSquareMatrix directSum(AbstractComplexSquareMatrix m)(Code)(Java Doc) public AbstractComplexMatrix hermitianAdjoint()(Code)(Java Doc) public AbstractDoubleMatrix imag()(Code)(Java Doc) public AbstractComplexSquareMatrix inverse()(Code)(Java Doc) final public CStarAlgebra.Member involution()(Code)(Java Doc) public boolean isHermitian()(Code)(Java Doc) public boolean isUnitary()(Code)(Java Doc) public AbstractComplexSquareMatrix[] luDecompose(int pivot)(Code)(Java Doc) public AbstractComplexSquareMatrix[] luDecompose()(Code)(Java Doc) public AbstractComplexMatrix mapElements(ComplexMapping f)(Code)(Java Doc) public AbstractComplexSquareMatrix multiply(AbstractComplexSquareMatrix m)(Code)(Java Doc) public AbelianGroup.Member negate()(Code)(Java Doc) public double norm()(Code)(Java Doc) public double operatorNorm() throws MaximumIterationsExceededException(Code)(Java Doc) public AbstractComplexSquareMatrix[] polarDecompose()(Code)(Java Doc) public AbstractDoubleMatrix real()(Code)(Java Doc) public AbstractComplexMatrix scalarDivide(Complex z)(Code)(Java Doc) public AbstractComplexMatrix scalarDivide(double x)(Code)(Java Doc) public AbstractComplexMatrix scalarMultiply(Complex z)(Code)(Java Doc) public AbstractComplexMatrix scalarMultiply(double x)(Code)(Java Doc) final public Complex scalarProduct(AbstractComplexMatrix m)(Code)(Java Doc) public Complex scalarProduct(AbstractComplexSquareMatrix m)(Code)(Java Doc) final public AbstractComplexMatrix subtract(AbstractComplexMatrix m)(Code)(Java Doc) public AbstractComplexSquareMatrix subtract(AbstractComplexSquareMatrix m)(Code)(Java Doc) public AbstractComplexSquareMatrix tensor(AbstractComplexSquareMatrix m)(Code)(Java Doc) public Complex trace()(Code)(Java Doc) public Matrix transpose()(Code)(Java Doc) Methods inherited from JSci.maths.matrices.AbstractComplexMatrix final public AbelianGroup.Member add(AbelianGroup.Member m)(Code)(Java Doc) public AbstractComplexMatrix add(AbstractComplexMatrix m)(Code)(Java Doc) public AbstractComplexMatrix conjugate()(Code)(Java Doc) public AbstractComplexMatrix directSum(AbstractComplexMatrix m)(Code)(Java Doc) final public boolean equals(Object obj)(Code)(Java Doc) final public boolean equals(AbstractComplexMatrix m)(Code)(Java Doc) public boolean equals(AbstractComplexMatrix m, double tol)(Code)(Java Doc) public double frobeniusNorm()(Code)(Java Doc) abstract public Complex getElement(int i, int j)(Code)(Java Doc) abstract public double getImagElement(int i, int j)(Code)(Java Doc) abstract public double getRealElement(int i, int j)(Code)(Java Doc) public Object getSet()(Code)(Java Doc) public int hashCode()(Code)(Java Doc) public AbstractComplexMatrix hermitianAdjoint()(Code)(Java Doc) public AbstractDoubleMatrix imag()(Code)(Java Doc) public double infNorm()(Code)(Java Doc) public AbstractComplexMatrix mapElements(ComplexMapping f)(Code)(Java Doc) public AbstractComplexVector multiply(AbstractComplexVector v)(Code)(Java Doc) final public Ring.Member multiply(Ring.Member m)(Code)(Java Doc) public AbstractComplexMatrix multiply(AbstractComplexMatrix m)(Code)(Java Doc) public AbelianGroup.Member negate()(Code)(Java Doc) public AbstractDoubleMatrix real()(Code)(Java Doc) final public VectorSpace.Member scalarDivide(Field.Member x)(Code)(Java Doc) public AbstractComplexMatrix scalarDivide(Complex z)(Code)(Java Doc) public AbstractComplexMatrix scalarDivide(double x)(Code)(Java Doc) final public Module.Member scalarMultiply(Ring.Member x)(Code)(Java Doc) public AbstractComplexMatrix scalarMultiply(Complex z)(Code)(Java Doc) public AbstractComplexMatrix scalarMultiply(double x)(Code)(Java Doc) public Complex scalarProduct(AbstractComplexMatrix m)(Code)(Java Doc) abstract public void setElement(int i, int j, Complex z)(Code)(Java Doc) abstract public void setElement(int i, int j, double x, double y)(Code)(Java Doc) final public AbelianGroup.Member subtract(AbelianGroup.Member m)(Code)(Java Doc) public AbstractComplexMatrix subtract(AbstractComplexMatrix m)(Code)(Java Doc) public AbstractComplexMatrix tensor(AbstractComplexMatrix m)(Code)(Java Doc) public String toString()(Code)(Java Doc) public Matrix transpose()(Code)(Java Doc) Fields inherited from JSci.maths.matrices.Matrix final protected int numCols(Code)(Java Doc) final protected int numRows(Code)(Java Doc) Methods inherited from JSci.maths.matrices.Matrix final public int columns()(Code)(Java Doc) protected static String getInvalidElementMsg(int i, int j)(Code)(Java Doc) final public int rows()(Code)(Java Doc) abstract public Matrix transpose()(Code)(Java Doc) Methods inherited from java.lang.Object native protected Object clone() throws CloneNotSupportedException(Code)(Java Doc) public boolean equals(Object obj)(Code)(Java Doc) protected void finalize() throws Throwable(Code)(Java Doc) final native public Class getClass()(Code)(Java Doc) native public int hashCode()(Code)(Java Doc) final native public void notify()(Code)(Java Doc) final native public void notifyAll()(Code)(Java Doc) public String toString()(Code)(Java Doc) final native public void wait(long timeout) throws InterruptedException(Code)(Java Doc) final public void wait(long timeout, int nanos) throws InterruptedException(Code)(Java Doc) final public void wait() throws InterruptedException(Code)(Java Doc)