no.uib.cipr.matrix

Class UnitLowerTriangDenseMatrix

java.lang.Object

no.uib.cipr.matrix.AbstractMatrix

no.uib.cipr.matrix.LowerTriangDenseMatrix

no.uib.cipr.matrix.UnitLowerTriangDenseMatrix

All Implemented Interfaces:

Iterable<MatrixEntry>, Matrix

public class UnitLowerTriangDenseMatrix
extends LowerTriangDenseMatrix

Unit lower triangular dense matrix. Almost the same as the LowerTriangDenseMatrix, but additionally assumes the main diagonal to be all ones. However it does not access it, so it may be actually be different.

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
UnitLowerTriangDenseMatrix(int n) Constructor for UnitLowerTriangDenseMatrix
UnitLowerTriangDenseMatrix(Matrix A) Constructor for UnitLowerTriangDenseMatrix
UnitLowerTriangDenseMatrix(Matrix A, boolean deep) Constructor for UnitLowerTriangDenseMatrix

Method Summary

Methods

Modifier and Type	Method and Description
void	add(int row, int column, double value) A(row,column) += value
UnitLowerTriangDenseMatrix	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()
Matrix	mult(double alpha, Matrix B, Matrix C) C = alpha*A*B
Vector	mult(double alpha, Vector x, Vector y) y = alpha*A*x
void	set(int row, int column, double value) A(row,column) = value
Matrix	solve(Matrix B, Matrix X) X = A\B.
Vector	solve(Vector b, Vector x) x = A\b.
String	toString()
Matrix	transAmult(double alpha, Matrix B, Matrix C) C = alpha*AT*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.LowerTriangDenseMatrix

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, multAdd, multAdd, multAdd, multAdd, norm, norm1, normF, normInf, numColumns, numRows, rank1, rank1, rank1, rank1, rank1, rank1, rank2, rank2, rank2, rank2, scale, set, transABmult, transABmult, transABmultAdd, transABmultAdd, 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

UnitLowerTriangDenseMatrix

public UnitLowerTriangDenseMatrix(int n)

Constructor for UnitLowerTriangDenseMatrix

Parameters:

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

UnitLowerTriangDenseMatrix

public UnitLowerTriangDenseMatrix(Matrix A)

Constructor for UnitLowerTriangDenseMatrix

Parameters:

A - Matrix to copy from. Only the strictly lower triangular part is copied

UnitLowerTriangDenseMatrix

public UnitLowerTriangDenseMatrix(Matrix A,
                          boolean deep)

Constructor for UnitLowerTriangDenseMatrix

Parameters:

A - Matrix to copy from. Only the strictly lower triangular part is copied

deep - If true, A is copied, else a shallow copy is made and the matrices share underlying storage. For this, A must be a dense matrix

Method Detail

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 LowerTriangDenseMatrix

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 LowerTriangDenseMatrix

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 LowerTriangDenseMatrix

copy

public UnitLowerTriangDenseMatrix copy()

Description copied from interface: Matrix

Creates a deep copy of the matrix

Specified by:

copy in interface Matrix

Overrides:

copy in class LowerTriangDenseMatrix

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

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

mult

public Matrix mult(double alpha,
          Matrix B,
          Matrix C)

Description copied from interface: Matrix

C = alpha*A*B

Specified by:

mult in interface Matrix

Overrides:

mult in class AbstractMatrix

B - Matrix such that B.numRows() == A.numColumns() and B.numColumns() == C.numColumns()

C - Matrix such that C.numRows() == A.numRows() and B.numColumns() == C.numColumns()

Returns:

C

transAmult

public Matrix transAmult(double alpha,
                Matrix B,
                Matrix C)

Description copied from interface: Matrix

C = alpha*AT*B

Specified by:

transAmult in interface Matrix

Overrides:

transAmult in class AbstractMatrix

B - Matrix such that B.numRows() == A.numRows() and B.numColumns() == C.numColumns()

C - Matrix such that C.numRows() == A.numColumns() and B.numColumns() == C.numColumns()

Returns:

C

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

iterator

public Iterator<MatrixEntry> iterator()

Specified by:

iterator in interface Iterable<MatrixEntry>

Overrides:

iterator in class AbstractMatrix

getData

public double[] getData()

Returns the matrix contents. Ordering depends on the underlying storage assumptions

toString

public String toString()

Overrides:

toString in class AbstractMatrix