LowerSPDPackMatrix (Matrix Toolkits for Java 1.0.2 API)

java.lang.Object
- no.uib.cipr.matrix.AbstractMatrix
- - no.uib.cipr.matrix.LowerSymmPackMatrix
  - - no.uib.cipr.matrix.LowerSPDPackMatrix

All Implemented Interfaces:

Iterable<MatrixEntry>, Matrix
```
public class LowerSPDPackMatrix
extends LowerSymmPackMatrix
```
Lower symmetrical positive definite packed matrix. Same layout as LowerSymmPackMatrix. This class does not enforce the SPD property, but serves as a tag so that more efficient algorithms can be used in the solvers.

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
`LowerSPDPackMatrix(int n)` Constructor for LowerSPDPackMatrix
`LowerSPDPackMatrix(Matrix A)` Constructor for LowerSPDPackMatrix
`LowerSPDPackMatrix(Matrix A, boolean deep)` Constructor for LowerSPDPackMatrix

Method Summary

Methods
Modifier and Type	Method and Description
`LowerSPDPackMatrix`	`copy()` Creates a deep copy of the matrix
`double[]`	`getData()` Returns the matrix contents.
`Vector`	`multAdd(double alpha, Vector x, Vector y)` `y = alphaAx + y`
`Matrix`	`rank1(double alpha, Vector x, Vector y)` `A = alphaxy^T + A`.
`Matrix`	`rank2(double alpha, Vector x, Vector y)` `A = alphaxy^T + alphayx^T + A`.
`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 = alphaA^Tx + y`
`Matrix`	`transpose()` Transposes the matrix in-place.
`Matrix`	`transSolve(Matrix B, Matrix X)` `X = A^T\B`.
`Vector`	`transSolve(Vector b, Vector x)` `x = A^T\b`.
`Matrix`	`zero()` Zeros all the entries in the matrix, while preserving any underlying structure.

Methods inherited from class no.uib.cipr.matrix.LowerSymmPackMatrix
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, iterator, max, max, mult, mult, mult, mult, multAdd, multAdd, multAdd, norm, norm1, normF, normInf, numColumns, numRows, rank1, rank1, rank1, rank1, rank1, 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
  - LowerSPDPackMatrix
```
public LowerSPDPackMatrix(int n)
```
    Constructor for LowerSPDPackMatrix
    
    Parameters:
    n - Size of the matrix. Since the matrix must be square, this equals both the number of rows and columns
  - LowerSPDPackMatrix
```
public LowerSPDPackMatrix(Matrix A)
```
    Constructor for LowerSPDPackMatrix
    
    Parameters:
    A - Matrix to copy contents from. Only the entries of the relevant part are copied
  - LowerSPDPackMatrix
```
public LowerSPDPackMatrix(Matrix A,
                  boolean deep)
```
    Constructor for LowerSPDPackMatrix
    
    Parameters:
    A - Matrix to copy contents from. Only the entries of the relevant part are copied
    deep - True if the copy is deep, else false (giving a shallow copy). For shallow copies, A must be a packed matrix
- Method Detail
  - copy
```
public LowerSPDPackMatrix copy()
```
    Description copied from interface: Matrix
    
    Creates a deep copy of the matrix
    
    Specified by:
    
    copy in interface Matrix
    
    Overrides:
    
    copy in class LowerSymmPackMatrix
    
    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*A^T*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
  - rank1
```
public Matrix rank1(double alpha,
           Vector x,
           Vector y)
```
    Description copied from interface: Matrix
    
    A = alpha*x*y^T + A. The matrix must be square, and the vectors of the same length
    
    Specified by:
    
    rank1 in interface Matrix
    
    Overrides:
    
    rank1 in class AbstractMatrix
    
    Returns:
    A
  - rank2
```
public Matrix rank2(double alpha,
           Vector x,
           Vector y)
```
    Description copied from interface: Matrix
    
    A = alpha*x*y^T + alpha*y*x^T + A. The matrix must be square, and the vectors of the same length
    
    Specified by:
    
    rank2 in interface Matrix
    
    Overrides:
    
    rank2 in class AbstractMatrix
    
    Returns:
    A
  - 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 = A^T\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 = A^T\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. Ordering depends on the underlying storage assumptions
  - 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

Class LowerSPDPackMatrix

Nested Class Summary

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

Field Summary

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

Constructor Summary

Method Summary

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

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

Methods inherited from class java.lang.Object

Constructor Detail

LowerSPDPackMatrix

LowerSPDPackMatrix

LowerSPDPackMatrix

Method Detail

copy

solve

multAdd

transMultAdd

rank1

rank2

solve

transSolve

transSolve

transpose

getData

set

zero