no.uib.cipr.matrix

Class LowerSPDBandMatrix

java.lang.Object

no.uib.cipr.matrix.AbstractMatrix

no.uib.cipr.matrix.LowerSymmBandMatrix

no.uib.cipr.matrix.LowerSPDBandMatrix

All Implemented Interfaces:

Iterable<MatrixEntry>, Matrix

public class LowerSPDBandMatrix
extends LowerSymmBandMatrix

Lower symmetrical positive definite banded matrix. It does not enforce this property (except for symmetry), and has the same storage layout as LowerSymmBandMatrix.

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
LowerSPDBandMatrix(int n, int kd) Constructor for LowerSPDBandMatrix
LowerSPDBandMatrix(Matrix A, int kd) Constructor for LowerSPDBandMatrix
LowerSPDBandMatrix(Matrix A, int kd, boolean deep) Constructor for LowerSPDBandMatrix

Method Summary

Methods

Modifier and Type	Method and Description
LowerSPDBandMatrix	copy() Creates a deep copy of the matrix
double[]	getData() Returns the matrix contents
Iterator<MatrixEntry>	iterator()
Vector	multAdd(double alpha, Vector x, Vector y) y = alpha*A*x + y
int	numSubDiagonals() Returns the number of lower diagonals
int	numSuperDiagonals() Returns the number of upper diagonals
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	transMultAdd(double alpha, Vector x, Vector y) y = alpha*AT*x + y
Matrix	transpose() Transposes the matrix in-place.
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.LowerSymmBandMatrix

add, get, set

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, mult, 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, transMult, transMultAdd, transpose, transRank1, transRank1, transRank2, transRank2

Methods inherited from class java.lang.Object

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

Constructor Detail

LowerSPDBandMatrix

public LowerSPDBandMatrix(int n,
                  int kd)

Constructor for LowerSPDBandMatrix

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 off the main diagonal (off diagonals)

LowerSPDBandMatrix

public LowerSPDBandMatrix(Matrix A,
                  int kd)

Constructor for LowerSPDBandMatrix

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 off the main diagonal (off diagonals)

LowerSPDBandMatrix

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

Constructor for LowerSPDBandMatrix

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 off the main diagonal (off diagonals)

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

Method Detail

copy

public LowerSPDBandMatrix copy()

Description copied from interface: Matrix

Creates a deep copy of the matrix

Specified by:

copy in interface Matrix

Overrides:

copy in class LowerSymmBandMatrix

Returns:

A

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

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

multAdd

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

Description copied from interface: Matrix

y = alpha*A*x + y

Specified by:

multAdd in interface Matrix

Overrides:

multAdd in class AbstractMatrix

x - Vector of size A.numColumns()

y - Vector of size A.numRows()

Returns:

y

transMultAdd

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

Description copied from interface: Matrix

y = alpha*AT*x + y

Specified by:

transMultAdd in interface Matrix

Overrides:

transMultAdd in class AbstractMatrix

x - Vector of size A.numRows()

y - Vector of size A.numColumns()

Returns:

y

iterator

public Iterator<MatrixEntry> iterator()

Specified by:

iterator in interface Iterable<MatrixEntry>

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

transpose

public Matrix transpose()

Description copied from interface: Matrix

Transposes the matrix in-place. In most cases, the matrix must be square for this to work.

Specified by:

transpose in interface Matrix

Overrides:

transpose in class AbstractMatrix

Returns:

This matrix

getData

public double[] getData()

Returns the matrix contents

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