Package no.uib.cipr.matrix
Class LowerTriangBandMatrix
java.lang.Object
no.uib.cipr.matrix.AbstractMatrix
no.uib.cipr.matrix.LowerTriangBandMatrix
- All Implemented Interfaces:
Iterable<MatrixEntry>
,Matrix
- Direct Known Subclasses:
UnitLowerTriangBandMatrix
Lower triangular banded matrix. The same storage as
BandMatrix
, but without
superdiagonals.-
Nested Class Summary
Nested classes/interfaces inherited from interface no.uib.cipr.matrix.Matrix
Matrix.Norm
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Field Summary
Fields inherited from class no.uib.cipr.matrix.AbstractMatrix
numColumns, numRows
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Constructor Summary
ConstructorsConstructorDescriptionLowerTriangBandMatrix
(int n, int kd) Constructor for LowerTriangBandMatrixLowerTriangBandMatrix
(Matrix A, int kd) Constructor for LowerTriangBandMatrixLowerTriangBandMatrix
(Matrix A, int kd, boolean deep) Constructor for LowerTriangBandMatrix -
Method Summary
Modifier and TypeMethodDescriptionvoid
add
(int row, int column, double value) A(row,column) += value
copy()
Creates a deep copy of the matrixdouble
get
(int row, int column) ReturnsA(row,column)
double[]
getData()
Returns the matrix contentsiterator()
y = alpha*A*x
int
Returns the number of lower diagonalsint
Returns the number of upper diagonalsvoid
set
(int row, int column, double value) A(row,column) = value
A=B
.X = A\B
.x = A\b
.y = alpha*AT*x
transSolve
(Matrix B, Matrix X) X = AT\B
.transSolve
(Vector b, Vector x) x = AT\b
.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
Methods inherited from interface java.lang.Iterable
forEach, spliterator
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Constructor Details
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LowerTriangBandMatrix
public LowerTriangBandMatrix(int n, int kd) Constructor for LowerTriangBandMatrix- Parameters:
n
- Size of the matrix. Since the matrix must be square, this equals both the number of rows and columnskd
- Number of bands below the main diagonal (subdiagonals)
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LowerTriangBandMatrix
Constructor for LowerTriangBandMatrix- Parameters:
A
- Matrix to copy contents from. Only the parts ofA
that lie within the allocated band are copied over, the rest is ignoredkd
- Number of bands below the main diagonal (subdiagonals)
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LowerTriangBandMatrix
Constructor for LowerTriangBandMatrix- Parameters:
A
- Matrix to copy contents from. Only the parts ofA
that lie within the allocated band are copied over, the rest is ignoredkd
- Number of bands below the main diagonal (subdiagonals)deep
- True for a deep copy. For shallow copies,A
must be a banded matrix
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Method Details
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copy
Description copied from interface:Matrix
Creates a deep copy of the matrix- Specified by:
copy
in interfaceMatrix
- Overrides:
copy
in classAbstractMatrix
- Returns:
- A
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mult
Description copied from interface:Matrix
y = alpha*A*x
- Specified by:
mult
in interfaceMatrix
- Overrides:
mult
in classAbstractMatrix
- Parameters:
x
- Vector of sizeA.numColumns()
y
- Vector of sizeA.numRows()
- Returns:
- y
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transMult
Description copied from interface:Matrix
y = alpha*AT*x
- Specified by:
transMult
in interfaceMatrix
- Overrides:
transMult
in classAbstractMatrix
- Parameters:
x
- Vector of sizeA.numRows()
y
- Vector of sizeA.numColumns()
- Returns:
- y
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solve
Description copied from interface:Matrix
X = A\B
. Not all matrices support this operation, those that do not throwUnsupportedOperationException
. Note that it is often more efficient to use a matrix decomposition and its associated solver- Specified by:
solve
in interfaceMatrix
- Overrides:
solve
in classAbstractMatrix
- Parameters:
B
- Matrix with the same number of rows asA
, and the same number of columns asX
X
- Matrix with a number of rows equalA.numColumns()
, and the same number of columns asB
- Returns:
- X
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solve
Description copied from interface:Matrix
x = A\b
. Not all matrices support this operation, those that do not throwUnsupportedOperationException
. Note that it is often more efficient to use a matrix decomposition and its associated solver- Specified by:
solve
in interfaceMatrix
- Overrides:
solve
in classAbstractMatrix
- Parameters:
b
- Vector of sizeA.numRows()
x
- Vector of sizeA.numColumns()
- Returns:
- x
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transSolve
Description copied from interface:Matrix
X = AT\B
. Not all matrices support this operation, those that do not throwUnsupportedOperationException
. Note that it is often more efficient to use a matrix decomposition and its associated transpose solver- Specified by:
transSolve
in interfaceMatrix
- Overrides:
transSolve
in classAbstractMatrix
- Parameters:
B
- Matrix with a number of rows equalA.numColumns()
, and the same number of columns asX
X
- Matrix with the same number of rows asA
, and the same number of columns asB
- Returns:
- X
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transSolve
Description copied from interface:Matrix
x = AT\b
. Not all matrices support this operation, those that do not throwUnsupportedOperationException
. Note that it is often more efficient to use a matrix decomposition and its associated solver- Specified by:
transSolve
in interfaceMatrix
- Overrides:
transSolve
in classAbstractMatrix
- Parameters:
b
- Vector of sizeA.numColumns()
x
- Vector of sizeA.numRows()
- Returns:
- x
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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 interfaceMatrix
- Overrides:
add
in classAbstractMatrix
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set
public void set(int row, int column, double value) Description copied from interface:Matrix
A(row,column) = value
- Specified by:
set
in interfaceMatrix
- Overrides:
set
in classAbstractMatrix
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get
public double get(int row, int column) Description copied from interface:Matrix
ReturnsA(row,column)
- Specified by:
get
in interfaceMatrix
- Overrides:
get
in classAbstractMatrix
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numSubDiagonals
public int numSubDiagonals()Returns the number of lower diagonals -
numSuperDiagonals
public int numSuperDiagonals()Returns the number of upper diagonals -
set
Description copied from interface:Matrix
A=B
. The matrices must be of the same size- Specified by:
set
in interfaceMatrix
- Overrides:
set
in classAbstractMatrix
- Returns:
- A
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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 interfaceMatrix
- Overrides:
zero
in classAbstractMatrix
- Returns:
- A
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iterator
- Specified by:
iterator
in interfaceIterable<MatrixEntry>
- Overrides:
iterator
in classAbstractMatrix
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