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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.AbstractDoubleMatrix
         JSci.maths.matrices.AbstractDoubleSquareMatrix
            JSci.maths.matrices.DoubleTridiagonalMatrix

DoubleTridiagonalMatrix
public class DoubleTridiagonalMatrix extends AbstractDoubleSquareMatrix implements TridiagonalMatrix(Code)
The DoubleTridiagonalMatrix class provides an object for encapsulating double tridiagonal matrices.
version:
   2.2
author:
   Mark Hale


Field Summary
final protected  doublediag
    
final protected  doubleldiag
     Tridiagonal data.
final protected  doubleudiag
    

Constructor Summary
public  DoubleTridiagonalMatrix(int size)
     Constructs an empty matrix.
public  DoubleTridiagonalMatrix(double array)
     Constructs a matrix from an array.

Method Summary
public  AbstractDoubleSquareMatrixadd(AbstractDoubleSquareMatrix m)
     Returns the addition of this matrix and another.
public  DoubleSquareMatrixadd(DoubleSquareMatrix m)
    
public  DoubleTridiagonalMatrixadd(DoubleTridiagonalMatrix m)
     Returns the addition of this matrix and another.
public  AbstractDoubleSquareMatrix[]choleskyDecompose()
     Returns the Cholesky decomposition of this matrix.
public  booleanequals(AbstractDoubleMatrix m, double tol)
     Compares two ${nativeTyp} matrices for equality.
public  doublefrobeniusNorm()
     Returns the Frobenius (l2) norm.
public  doublegetElement(int i, int j)
     Returns an element of the matrix.
public  doubleinfNorm()
     Returns the linfinity-norm.
public  booleanisSymmetric()
     Returns true if this matrix is symmetric.
public  AbstractDoubleMatrixmapElements(Mapping f)
     Applies a function on all the matrix elements.
public  AbstractDoubleVectormultiply(AbstractDoubleVector v)
     Returns the multiplication of a vector by this matrix.
public  AbstractDoubleSquareMatrixmultiply(AbstractDoubleSquareMatrix m)
     Returns the multiplication of this matrix and another.
public  DoubleSquareMatrixmultiply(DoubleSquareMatrix m)
    
public  DoubleSquareMatrixmultiply(DoubleTridiagonalMatrix m)
    
public  doubleoperatorNorm()
     Returns the operator norm.
public  AbstractDoubleSquareMatrix[]qrDecompose()
     Returns the QR decomposition of this matrix.
public  AbstractDoubleMatrixscalarDivide(double x)
     Returns the division of this matrix by a scalar.
Parameters:
  x - a double.
public  AbstractDoubleMatrixscalarMultiply(double x)
     Returns the multiplication of this matrix by a scalar.
Parameters:
  x - a double.
public  doublescalarProduct(AbstractDoubleSquareMatrix m)
     Returns the scalar product of this matrix and another.
public  doublescalarProduct(DoubleSquareMatrix m)
    
public  doublescalarProduct(DoubleTridiagonalMatrix m)
    
public  voidsetElement(int i, int j, double x)
     Sets the value of an element of the matrix.
public  AbstractDoubleSquareMatrix[]singularValueDecompose()
     Returns the singular value decomposition of this matrix.
public  AbstractDoubleSquareMatrixsubtract(AbstractDoubleSquareMatrix m)
     Returns the subtraction of this matrix by another.
public  DoubleSquareMatrixsubtract(DoubleSquareMatrix m)
    
public  DoubleTridiagonalMatrixsubtract(DoubleTridiagonalMatrix m)
     Returns the subtraction of this matrix and another.
public  AbstractComplexMatrixtoComplexMatrix()
     Converts this matrix to a complex matrix.
public  AbstractIntegerMatrixtoIntegerMatrix()
     Converts this matrix to an integer matrix.
public  StringtoString()
     Returns a string representing this matrix.
public  doubletrace()
     Returns the trace.
public  Matrixtranspose()
     Returns the transpose of this matrix.

Field Detail
diag
final protected double diag(Code)



ldiag
final protected double ldiag(Code)
Tridiagonal data.



udiag
final protected double udiag(Code)




Constructor Detail
DoubleTridiagonalMatrix
public DoubleTridiagonalMatrix(int size)(Code)
Constructs an empty matrix.
Parameters:
  size - the number of rows/columns



DoubleTridiagonalMatrix
public DoubleTridiagonalMatrix(double 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 AbstractDoubleSquareMatrix add(AbstractDoubleSquareMatrix m)(Code)
Returns the addition of this matrix and another.
Parameters:
  m - a double matrix
exception:
  MatrixDimensionException - If the matrices are different sizes.



add
public DoubleSquareMatrix add(DoubleSquareMatrix m)(Code)



add
public DoubleTridiagonalMatrix add(DoubleTridiagonalMatrix m)(Code)
Returns the addition of this matrix and another.
Parameters:
  m - a double tridiagonal matrix
exception:
  MatrixDimensionException - If the matrices are different sizes.



choleskyDecompose
public AbstractDoubleSquareMatrix[] choleskyDecompose()(Code)
Returns the Cholesky decomposition of this matrix. Matrix must be symmetric and positive definite. an array with [0] containing the L-matrix and [1] containing the U-matrix.



equals
public boolean equals(AbstractDoubleMatrix m, double tol)(Code)
Compares two ${nativeTyp} matrices for equality.
Parameters:
  m - a double matrix



frobeniusNorm
public double frobeniusNorm()(Code)
Returns the Frobenius (l2) norm.
author:
   Taber Smith



getElement
public double 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.



infNorm
public double infNorm()(Code)
Returns the linfinity-norm.
author:
   Taber Smith



isSymmetric
public boolean isSymmetric()(Code)
Returns true if this matrix is symmetric.



mapElements
public AbstractDoubleMatrix mapElements(Mapping f)(Code)
Applies a function on all the matrix elements.
Parameters:
  f - a user-defined function a double matrix



multiply
public AbstractDoubleVector multiply(AbstractDoubleVector v)(Code)
Returns the multiplication of a vector by this matrix.
Parameters:
  v - a double vector.
exception:
  DimensionException - If the matrix and vector are incompatible.



multiply
public AbstractDoubleSquareMatrix multiply(AbstractDoubleSquareMatrix m)(Code)
Returns the multiplication of this matrix and another.
Parameters:
  m - a double matrix a AbstractDoubleMatrix or a AbstractDoubleSquareMatrix as appropriate
exception:
  MatrixDimensionException - If the matrices are incompatible.



multiply
public DoubleSquareMatrix multiply(DoubleSquareMatrix m)(Code)



multiply
public DoubleSquareMatrix multiply(DoubleTridiagonalMatrix m)(Code)



operatorNorm
public double operatorNorm() throws MaximumIterationsExceededException(Code)
Returns the operator norm.
exception:
  MaximumIterationsExceededException - If it takes more than 50 iterations to determine an eigenvalue.



qrDecompose
public AbstractDoubleSquareMatrix[] qrDecompose()(Code)
Returns the QR decomposition of this matrix. Based on the code from JAMA (public domain). an array with [0] containing the Q-matrix and [1] containing the R-matrix.



scalarDivide
public AbstractDoubleMatrix scalarDivide(double x)(Code)
Returns the division of this matrix by a scalar.
Parameters:
  x - a double. a double square matrix.



scalarMultiply
public AbstractDoubleMatrix scalarMultiply(double x)(Code)
Returns the multiplication of this matrix by a scalar.
Parameters:
  x - a double. a double square matrix.



scalarProduct
public double scalarProduct(AbstractDoubleSquareMatrix m)(Code)
Returns the scalar product of this matrix and another.
Parameters:
  m - a double matrix.
exception:
  MatrixDimensionException - If the matrices are different sizes.



scalarProduct
public double scalarProduct(DoubleSquareMatrix m)(Code)



scalarProduct
public double scalarProduct(DoubleTridiagonalMatrix m)(Code)



setElement
public void setElement(int i, int j, double x)(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 - a number
exception:
  MatrixDimensionException - If attempting to access an invalid element.



singularValueDecompose
public AbstractDoubleSquareMatrix[] singularValueDecompose()(Code)
Returns the singular value decomposition of this matrix. Based on the code from JAMA (public domain). an array with [0] containing the U-matrix, [1] containing the S-matrix and [2] containing the V-matrix.



subtract
public AbstractDoubleSquareMatrix subtract(AbstractDoubleSquareMatrix m)(Code)
Returns the subtraction of this matrix by another.
Parameters:
  m - a double matrix
exception:
  MatrixDimensionException - If the matrices are different sizes.



subtract
public DoubleSquareMatrix subtract(DoubleSquareMatrix m)(Code)



subtract
public DoubleTridiagonalMatrix subtract(DoubleTridiagonalMatrix m)(Code)
Returns the subtraction of this matrix and another.
Parameters:
  m - a double tridiagonal matrix
exception:
  MatrixDimensionException - If the matrices are different sizes.



toComplexMatrix
public AbstractComplexMatrix toComplexMatrix()(Code)
Converts this matrix to a complex matrix. a complex matrix



toIntegerMatrix
public AbstractIntegerMatrix toIntegerMatrix()(Code)
Converts this matrix to an integer matrix. an integer matrix



toString
public String toString()(Code)
Returns a string representing this matrix.



trace
public double trace()(Code)
Returns the trace.



transpose
public Matrix transpose()(Code)
Returns the transpose of this matrix. a double matrix



Fields inherited from JSci.maths.matrices.AbstractDoubleSquareMatrix
protected transient AbstractDoubleSquareMatrix[] LU(Code)(Java Doc)
protected transient int[] LUpivot(Code)(Java Doc)

Methods inherited from JSci.maths.matrices.AbstractDoubleSquareMatrix
final public AbstractDoubleMatrix add(AbstractDoubleMatrix m)(Code)(Java Doc)
public AbstractDoubleSquareMatrix add(AbstractDoubleSquareMatrix m)(Code)(Java Doc)
public AbstractDoubleSquareMatrix[] choleskyDecompose()(Code)(Java Doc)
public double det()(Code)(Java Doc)
public AbstractDoubleSquareMatrix directSum(AbstractDoubleSquareMatrix m)(Code)(Java Doc)
public AbstractDoubleSquareMatrix inverse()(Code)(Java Doc)
public boolean isSymmetric()(Code)(Java Doc)
public boolean isUnitary()(Code)(Java Doc)
public AbstractDoubleSquareMatrix[] luDecompose(int pivot)(Code)(Java Doc)
public AbstractDoubleSquareMatrix[] luDecompose()(Code)(Java Doc)
public AbstractDoubleMatrix mapElements(Mapping f)(Code)(Java Doc)
public AbstractDoubleSquareMatrix multiply(AbstractDoubleSquareMatrix m)(Code)(Java Doc)
public AbelianGroup.Member negate()(Code)(Java Doc)
public double operatorNorm() throws MaximumIterationsExceededException(Code)(Java Doc)
public AbstractDoubleSquareMatrix[] polarDecompose()(Code)(Java Doc)
public AbstractDoubleSquareMatrix[] qrDecompose()(Code)(Java Doc)
public AbstractDoubleMatrix scalarDivide(double x)(Code)(Java Doc)
public AbstractDoubleMatrix scalarMultiply(double x)(Code)(Java Doc)
final public double scalarProduct(AbstractDoubleMatrix m)(Code)(Java Doc)
public double scalarProduct(AbstractDoubleSquareMatrix m)(Code)(Java Doc)
public AbstractDoubleSquareMatrix[] singularValueDecompose()(Code)(Java Doc)
final public AbstractDoubleMatrix subtract(AbstractDoubleMatrix m)(Code)(Java Doc)
public AbstractDoubleSquareMatrix subtract(AbstractDoubleSquareMatrix m)(Code)(Java Doc)
public AbstractDoubleSquareMatrix tensor(AbstractDoubleSquareMatrix m)(Code)(Java Doc)
public AbstractComplexMatrix toComplexMatrix()(Code)(Java Doc)
public AbstractIntegerMatrix toIntegerMatrix()(Code)(Java Doc)
public double trace()(Code)(Java Doc)
public Matrix transpose()(Code)(Java Doc)

Methods inherited from JSci.maths.matrices.AbstractDoubleMatrix
final public AbelianGroup.Member add(AbelianGroup.Member m)(Code)(Java Doc)
public AbstractDoubleMatrix add(AbstractDoubleMatrix m)(Code)(Java Doc)
public AbstractDoubleMatrix directSum(AbstractDoubleMatrix m)(Code)(Java Doc)
final public boolean equals(Object obj)(Code)(Java Doc)
final public boolean equals(AbstractDoubleMatrix m)(Code)(Java Doc)
public boolean equals(AbstractDoubleMatrix m, double tol)(Code)(Java Doc)
public double frobeniusNorm()(Code)(Java Doc)
abstract public double getElement(int i, int j)(Code)(Java Doc)
final public Object getSet()(Code)(Java Doc)
public int hashCode()(Code)(Java Doc)
public double infNorm()(Code)(Java Doc)
public AbstractDoubleMatrix mapElements(Mapping f)(Code)(Java Doc)
public AbstractDoubleVector multiply(AbstractDoubleVector v)(Code)(Java Doc)
final public Ring.Member multiply(Ring.Member m)(Code)(Java Doc)
public AbstractDoubleMatrix multiply(AbstractDoubleMatrix m)(Code)(Java Doc)
public AbelianGroup.Member negate()(Code)(Java Doc)
final public VectorSpace.Member scalarDivide(Field.Member x)(Code)(Java Doc)
public AbstractDoubleMatrix scalarDivide(double x)(Code)(Java Doc)
final public Module.Member scalarMultiply(Ring.Member x)(Code)(Java Doc)
public AbstractDoubleMatrix scalarMultiply(double x)(Code)(Java Doc)
public double scalarProduct(AbstractDoubleMatrix m)(Code)(Java Doc)
abstract public void setElement(int i, int j, double x)(Code)(Java Doc)
final public AbelianGroup.Member subtract(AbelianGroup.Member m)(Code)(Java Doc)
public AbstractDoubleMatrix subtract(AbstractDoubleMatrix m)(Code)(Java Doc)
public AbstractDoubleMatrix tensor(AbstractDoubleMatrix m)(Code)(Java Doc)
public AbstractComplexMatrix toComplexMatrix()(Code)(Java Doc)
public AbstractIntegerMatrix toIntegerMatrix()(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)

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