public class DoubleTridiagonalMatrix extends DoubleSquareMatrix
Modifier and Type | Field and Description |
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protected double[] |
diag |
protected double[] |
ldiag
Tridiagonal data.
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protected static int |
TRIDIAGONAL
Storage format identifier.
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protected double[] |
udiag |
LU, LUpivot
ARRAY_2D, matrix
CLASS_SPECIFIC, numCols, numRows, storageFormat
Modifier | Constructor and Description |
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DoubleTridiagonalMatrix(double[][] array)
Constructs a matrix from an array.
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DoubleTridiagonalMatrix(int size)
Constructs an empty matrix.
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protected |
DoubleTridiagonalMatrix(int size,
int storeID)
Constructs a matrix.
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Modifier and Type | Method and Description |
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DoubleMatrix |
add(DoubleMatrix m)
Returns the addition of this matrix and another.
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DoubleSquareMatrix |
add(DoubleSquareMatrix m)
Returns the addition of this matrix and another.
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DoubleTridiagonalMatrix |
add(DoubleTridiagonalMatrix m)
Returns the addition of this matrix and another.
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DoubleSquareMatrix[] |
choleskyDecompose()
Returns the Cholesky decomposition of this matrix.
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boolean |
equals(java.lang.Object m)
Compares two double tridiagonal matrices for equality.
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double |
frobeniusNorm()
Returns the Frobenius (l2) norm.
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double |
getElement(int i,
int j)
Returns an element of the matrix.
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double |
infNorm()
Returns the l
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boolean |
isSymmetric()
Returns true if this matrix is symmetric.
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DoubleSquareMatrix[] |
luDecompose(int[] pivot)
Returns the LU decomposition of this matrix.
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DoubleMatrix |
mapElements(Mapping f)
Applies a function on all the matrix elements.
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DoubleMatrix |
multiply(DoubleMatrix m)
Returns the multiplication of this matrix and another.
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DoubleSquareMatrix |
multiply(DoubleSquareMatrix m)
Returns the multiplication of this matrix and another.
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DoubleSquareMatrix |
multiply(DoubleTridiagonalMatrix m)
Returns the multiplication of this matrix and another.
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DoubleVector |
multiply(DoubleVector v)
Returns the multiplication of a vector by this matrix.
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double |
operatorNorm()
Returns the operator norm.
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DoubleMatrix |
scalarMultiply(double x)
Returns the multiplication of this matrix by a scalar.
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double |
scalarProduct(DoubleMatrix m)
Returns the scalar product of this matrix and another.
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double |
scalarProduct(DoubleSquareMatrix m)
Returns the scalar product of this matrix and another.
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double |
scalarProduct(DoubleTridiagonalMatrix m)
Returns the scalar product of this matrix and another.
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void |
setElement(int i,
int j,
double x)
Sets the value of an element of the matrix.
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DoubleSquareMatrix[] |
singularValueDecompose()
Returns the singular value decomposition of this matrix.
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DoubleMatrix |
subtract(DoubleMatrix m)
Returns the subtraction of this matrix and another.
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DoubleSquareMatrix |
subtract(DoubleSquareMatrix m)
Returns the subtraction of this matrix by another.
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DoubleTridiagonalMatrix |
subtract(DoubleTridiagonalMatrix m)
Returns the subtraction of this matrix and another.
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ComplexMatrix |
toComplexMatrix()
Converts this matrix to a complex matrix.
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IntegerMatrix |
toIntegerMatrix()
Converts this matrix to an integer matrix.
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java.lang.String |
toString()
Returns a string representing this matrix.
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double |
trace()
Returns the trace.
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Matrix |
transpose()
Returns the transpose of this matrix.
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det, inverse, isUnitary, polarDecompose
add, directSum, finalize, hashCode, multiply, negate, scalarDivide, scalarDivide, scalarMultiply, subtract, tensorProduct
columns, getInvalidElementMsg, rows
protected static final int TRIDIAGONAL
protected double[] ldiag
protected double[] diag
protected double[] udiag
protected DoubleTridiagonalMatrix(int size, int storeID)
public DoubleTridiagonalMatrix(int size)
size
- the number of rows/columnspublic DoubleTridiagonalMatrix(double[][] array)
array
- an assigned valueMatrixDimensionException
- If the array is not square.public boolean equals(java.lang.Object m)
equals
in class DoubleMatrix
m
- a double tridiagonal matrixpublic java.lang.String toString()
toString
in class DoubleMatrix
public IntegerMatrix toIntegerMatrix()
toIntegerMatrix
in class DoubleMatrix
public ComplexMatrix toComplexMatrix()
toComplexMatrix
in class DoubleMatrix
public double getElement(int i, int j)
getElement
in class DoubleMatrix
i
- row index of the element.j
- column index of the element.MatrixDimensionException
- If attempting to access an invalid element.public void setElement(int i, int j, double x)
setElement
in class DoubleMatrix
i
- row index of the element.j
- column index of the element.x
- a number.MatrixDimensionException
- If attempting to access an invalid element.public boolean isSymmetric()
isSymmetric
in class DoubleSquareMatrix
public double trace()
trace
in class DoubleSquareMatrix
public double infNorm()
infNorm
in class DoubleMatrix
public double frobeniusNorm()
frobeniusNorm
in class DoubleMatrix
public double operatorNorm() throws MaximumIterationsExceededException
operatorNorm
in class DoubleSquareMatrix
MaximumIterationsExceededException
- If it takes more than 50 iterations to determine an eigenvalue.public DoubleMatrix add(DoubleMatrix m)
add
in class DoubleSquareMatrix
m
- a double matrixMatrixDimensionException
- If the matrices are different sizes.public DoubleSquareMatrix add(DoubleSquareMatrix m)
add
in class DoubleSquareMatrix
m
- a double square matrixMatrixDimensionException
- If the matrices are different sizes.public DoubleTridiagonalMatrix add(DoubleTridiagonalMatrix m)
m
- a double tridiagonal matrixMatrixDimensionException
- If the matrices are different sizes.public DoubleMatrix subtract(DoubleMatrix m)
subtract
in class DoubleSquareMatrix
m
- a double matrixMatrixDimensionException
- If the matrices are different sizes.public DoubleSquareMatrix subtract(DoubleSquareMatrix m)
subtract
in class DoubleSquareMatrix
m
- a double square matrixMatrixDimensionException
- If the matrices are different sizes.public DoubleTridiagonalMatrix subtract(DoubleTridiagonalMatrix m)
m
- a double tridiagonal matrixMatrixDimensionException
- If the matrices are different sizes.public DoubleMatrix scalarMultiply(double x)
scalarMultiply
in class DoubleSquareMatrix
x
- a double.public double scalarProduct(DoubleMatrix m)
scalarProduct
in class DoubleSquareMatrix
m
- a double matrix.MatrixDimensionException
- If the matrices are different sizes.public double scalarProduct(DoubleSquareMatrix m)
scalarProduct
in class DoubleSquareMatrix
m
- a double square matrix.MatrixDimensionException
- If the matrices are different sizes.public double scalarProduct(DoubleTridiagonalMatrix m)
m
- a double tridiagonal matrix.MatrixDimensionException
- If the matrices are different sizes.public DoubleVector multiply(DoubleVector v)
multiply
in class DoubleSquareMatrix
v
- a double vector.DimensionException
- If the matrix and vector are incompatible.public DoubleMatrix multiply(DoubleMatrix m)
multiply
in class DoubleMatrix
m
- a double matrixMatrixDimensionException
- If the matrices are different sizes.public DoubleSquareMatrix multiply(DoubleSquareMatrix m)
multiply
in class DoubleSquareMatrix
m
- a double square matrixMatrixDimensionException
- If the matrices are different sizes.public DoubleSquareMatrix multiply(DoubleTridiagonalMatrix m)
m
- a double tridiagonal matrixMatrixDimensionException
- If the matrices are different sizes.public Matrix transpose()
transpose
in class DoubleSquareMatrix
public DoubleSquareMatrix[] luDecompose(int[] pivot)
luDecompose
in class DoubleSquareMatrix
pivot
- an empty array of length rows()+1
to hold the pivot information (null if not interested).
The last array element will contain the parity.public DoubleSquareMatrix[] choleskyDecompose()
choleskyDecompose
in class DoubleSquareMatrix
public DoubleSquareMatrix[] singularValueDecompose()
singularValueDecompose
in class DoubleSquareMatrix
public DoubleMatrix mapElements(Mapping f)
mapElements
in class DoubleSquareMatrix
f
- a user-defined function