no.uib.cipr.matrix

Class UpperTriangBandMatrix

java.lang.Object

no.uib.cipr.matrix.AbstractMatrix

no.uib.cipr.matrix.UpperTriangBandMatrix

All Implemented Interfaces:

Iterable<MatrixEntry>, Matrix

Direct Known Subclasses:

UnitUpperTriangBandMatrix

public class UpperTriangBandMatrix
extends AbstractMatrix

Upper triangular banded matrix. The same storage as BandMatrix, but without subdiagonals.

Nested Class Summary

Nested classes/interfaces inherited from interface no.uib.cipr.matrix.Matrix

Matrix.Norm

Field Summary

Fields inherited from class no.uib.cipr.matrix.AbstractMatrix

numColumns, numRows

Constructor Summary

Constructors

Constructor and Description
UpperTriangBandMatrix(int n, int kd) Constructor for UpperTriangBandMatrix
UpperTriangBandMatrix(Matrix A, int kd) Constructor for UpperTriangBandMatrix
UpperTriangBandMatrix(Matrix A, int kd, boolean deep) Constructor for UpperTriangBandMatrix

Method Summary

Methods

Modifier and Type	Method and Description
void	add(int row, int column, double value) A(row,column) += value
UpperTriangBandMatrix	copy() Creates a deep copy of the matrix
double	get(int row, int column) Returns A(row,column)
double[]	getData() Returns the matrix contents
Iterator<MatrixEntry>	iterator()
Vector	mult(double alpha, Vector x, Vector y) y = alpha*A*x
int	numSubDiagonals() Returns the number of lower diagonals
int	numSuperDiagonals() Returns the number of upper diagonals
void	set(int row, int column, double value) A(row,column) = value
Matrix	set(Matrix B) A=B.
Matrix	solve(Matrix B, Matrix X) X = A\B.
Vector	solve(Vector b, Vector x) x = A\b.
Vector	transMult(double alpha, Vector x, Vector y) y = alpha*AT*x
Matrix	transSolve(Matrix B, Matrix X) X = AT\B.
Vector	transSolve(Vector b, Vector x) x = AT\b.
Matrix	zero() Zeros all the entries in the matrix, while preserving any underlying structure.

Methods inherited from class no.uib.cipr.matrix.AbstractMatrix

add, add, check, checkMultAdd, checkMultAdd, checkRank1, checkRank1, checkRank2, checkRank2, checkSize, checkSolve, checkSolve, checkTransABmultAdd, checkTransAmultAdd, checkTransBmultAdd, checkTransMultAdd, checkTranspose, checkTranspose, checkTransRank1, checkTransRank2, isSquare, max, max, mult, mult, mult, multAdd, multAdd, multAdd, multAdd, norm, norm1, normF, normInf, numColumns, numRows, rank1, rank1, rank1, rank1, rank1, rank1, rank2, rank2, rank2, rank2, scale, set, toString, transABmult, transABmult, transABmultAdd, transABmultAdd, transAmult, transAmult, transAmultAdd, transAmultAdd, transBmult, transBmult, transBmultAdd, transBmultAdd, transMult, transMultAdd, transMultAdd, transpose, transpose, transRank1, transRank1, transRank2, transRank2

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, wait, wait, wait

Constructor Detail

UpperTriangBandMatrix

public UpperTriangBandMatrix(int n,
                     int kd)

Constructor for UpperTriangBandMatrix

Parameters:

n - Size of the matrix. Since the matrix must be square, this equals both the number of rows and columns

kd - Number of bands above the main diagonal (superdiagonals)

UpperTriangBandMatrix

public UpperTriangBandMatrix(Matrix A,
                     int kd)

Constructor for UpperTriangBandMatrix

Parameters:

A - Matrix to copy contents from. Only the parts of A that lie within the allocated band are copied over, the rest is ignored

kd - Number of bands above the main diagonal (superdiagonals)

UpperTriangBandMatrix

public UpperTriangBandMatrix(Matrix A,
                     int kd,
                     boolean deep)

Constructor for UpperTriangBandMatrix

Parameters:

A - Matrix to copy contents from. Only the parts of A that lie within the allocated band are copied over, the rest is ignored

kd - Number of bands above the main diagonal (superdiagonals)

deep - True for a deep copy. For shallow copies, A must be a banded matrix

Method Detail

copy

public UpperTriangBandMatrix copy()

Description copied from interface: Matrix

Creates a deep copy of the matrix

Specified by:

copy in interface Matrix

Overrides:

copy in class AbstractMatrix

Returns:

A

mult

public Vector mult(double alpha,
          Vector x,
          Vector y)

Description copied from interface: Matrix

y = alpha*A*x

Specified by:

mult in interface Matrix

Overrides:

mult in class AbstractMatrix

x - Vector of size A.numColumns()

y - Vector of size A.numRows()

Returns:

y

transMult

public Vector transMult(double alpha,
               Vector x,
               Vector y)

Description copied from interface: Matrix

y = alpha*AT*x

Specified by:

transMult in interface Matrix

Overrides:

transMult in class AbstractMatrix

x - Vector of size A.numRows()

y - Vector of size A.numColumns()

Returns:

y

solve

public Matrix solve(Matrix B,
           Matrix X)

Description copied from interface: Matrix

X = A\B. Not all matrices support this operation, those that do not throw UnsupportedOperationException. Note that it is often more efficient to use a matrix decomposition and its associated solver

Specified by:

solve in interface Matrix

Overrides:

solve in class AbstractMatrix

Parameters:

B - Matrix with the same number of rows as A, and the same number of columns as X

X - Matrix with a number of rows equal A.numColumns() , and the same number of columns as B

Returns:

X

solve

public Vector solve(Vector b,
           Vector x)

Description copied from interface: Matrix

x = A\b. Not all matrices support this operation, those that do not throw UnsupportedOperationException. Note that it is often more efficient to use a matrix decomposition and its associated solver

Specified by:

solve in interface Matrix

Overrides:

solve in class AbstractMatrix

Parameters:

b - Vector of size A.numRows()

x - Vector of size A.numColumns()

Returns:

x

transSolve

public Matrix transSolve(Matrix B,
                Matrix X)

Description copied from interface: Matrix

X = AT\B. Not all matrices support this operation, those that do not throw UnsupportedOperationException. Note that it is often more efficient to use a matrix decomposition and its associated transpose solver

Specified by:

transSolve in interface Matrix

Overrides:

transSolve in class AbstractMatrix

Parameters:

B - Matrix with a number of rows equal A.numColumns() , and the same number of columns as X

X - Matrix with the same number of rows as A, and the same number of columns as B

Returns:

X

transSolve

public Vector transSolve(Vector b,
                Vector x)

Description copied from interface: Matrix

x = AT\b. Not all matrices support this operation, those that do not throw UnsupportedOperationException. Note that it is often more efficient to use a matrix decomposition and its associated solver

Specified by:

transSolve in interface Matrix

Overrides:

transSolve in class AbstractMatrix

Parameters:

b - Vector of size A.numColumns()

x - Vector of size A.numRows()

Returns:

x

getData

public double[] getData()

Returns the matrix contents

add

public void add(int row,
       int column,
       double value)

Description copied from interface: Matrix

A(row,column) += value

Specified by:

add in interface Matrix

Overrides:

add in class AbstractMatrix

set

public void set(int row,
       int column,
       double value)

Description copied from interface: Matrix

A(row,column) = value

Specified by:

set in interface Matrix

Overrides:

set in class AbstractMatrix

get

public double get(int row,
         int column)

Description copied from interface: Matrix

Returns A(row,column)

Specified by:

get in interface Matrix

Overrides:

get in class AbstractMatrix

numSubDiagonals

public int numSubDiagonals()

Returns the number of lower diagonals

numSuperDiagonals

public int numSuperDiagonals()

Returns the number of upper diagonals

set

public Matrix set(Matrix B)

Description copied from interface: Matrix

A=B. The matrices must be of the same size

Specified by:

set in interface Matrix

Overrides:

set in class AbstractMatrix

Returns:

A

zero

public Matrix zero()

Description copied from interface: Matrix

Zeros all the entries in the matrix, while preserving any underlying structure. Useful for general, unstructured matrices.

Specified by:

zero in interface Matrix

Overrides:

zero in class AbstractMatrix

Returns:

A

iterator

public Iterator<MatrixEntry> iterator()

Specified by:

iterator in interface Iterable<MatrixEntry>

Overrides:

iterator in class AbstractMatrix