org.apache.commons.math.linear

## Class SingularValueDecompositionImpl.Solver

- java.lang.Object
- - org.apache.commons.math.linear.SingularValueDecompositionImpl.Solver

All Implemented Interfaces:
  DecompositionSolver

Enclosing class:
  SingularValueDecompositionImpl

    private static class SingularValueDecompositionImpl.Solver
    extends java.lang.Object
    implements DecompositionSolver

Specialized solver.

### Field Summary

Fields
`private boolean` `nonSingular` Singularity indicator.
`private RealMatrix` `pseudoInverse` Pseudo-inverse of the initial matrix.

### Constructor Summary

Constructors
`private` `SingularValueDecompositionImpl.Solver(double[] singularValues, RealMatrix uT, RealMatrix v, boolean nonSingular)` Build a solver from decomposed matrix.

### Method Summary

Methods
`RealMatrix` `getInverse()` Get the pseudo-inverse of the decomposed matrix.
`boolean` `isNonSingular()` Check if the decomposed matrix is non-singular.
`double[]` `solve(double[] b)` Solve the linear equation A × X = B in least square sense.
`RealMatrix` `solve(RealMatrix b)` Solve the linear equation A × X = B in least square sense.
`RealVector` `solve(RealVector b)` Solve the linear equation A × X = B in least square sense.

### Methods inherited from class java.lang.Object

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

### Field Detail

#### pseudoInverse

    private final RealMatrix pseudoInverse

Pseudo-inverse of the initial matrix.

#### nonSingular

    private boolean nonSingular

Singularity indicator.

### Constructor Detail

#### SingularValueDecompositionImpl.Solver

    private SingularValueDecompositionImpl.Solver(double[] singularValues,
                                         RealMatrix uT,
                                         RealMatrix v,
                                         boolean nonSingular)

Build a solver from decomposed matrix.

Parameters:
  `singularValues` - singularValues
  `uT` - UT matrix of the decomposition
  `v` - V matrix of the decomposition
  `nonSingular` - singularity indicator

### Method Detail

#### solve

    public double[] solve(double[] b)
                   throws java.lang.IllegalArgumentException

Solve the linear equation A × X = B in least square sense.

The m×n matrix A may not be square, the solution X is such that ||A × X - B|| is minimal.

Specified by:
  `solve` in interface `DecompositionSolver`
Parameters:
  `b` - right-hand side of the equation A × X = B
Returns:
  a vector X that minimizes the two norm of A × X - B
Throws:
  `java.lang.IllegalArgumentException` - if matrices dimensions don't match

#### solve

    public RealVector solve(RealVector b)
                     throws java.lang.IllegalArgumentException

Solve the linear equation A × X = B in least square sense.

The m×n matrix A may not be square, the solution X is such that ||A × X - B|| is minimal.

Specified by:
  `solve` in interface `DecompositionSolver`
Parameters:
  `b` - right-hand side of the equation A × X = B
Returns:
  a vector X that minimizes the two norm of A × X - B
Throws:
  `java.lang.IllegalArgumentException` - if matrices dimensions don't match

#### solve

    public RealMatrix solve(RealMatrix b)
                     throws java.lang.IllegalArgumentException

Solve the linear equation A × X = B in least square sense.

The m×n matrix A may not be square, the solution X is such that ||A × X - B|| is minimal.

Specified by:
  `solve` in interface `DecompositionSolver`
Parameters:
  `b` - right-hand side of the equation A × X = B
Returns:
  a matrix X that minimizes the two norm of A × X - B
Throws:
  `java.lang.IllegalArgumentException` - if matrices dimensions don't match

#### isNonSingular

    public boolean isNonSingular()

Check if the decomposed matrix is non-singular.

Specified by:
  `isNonSingular` in interface `DecompositionSolver`
Returns:
  true if the decomposed matrix is non-singular

#### getInverse

    public RealMatrix getInverse()

Get the pseudo-inverse of the decomposed matrix.

Specified by:
  `getInverse` in interface `DecompositionSolver`
Returns:
  inverse matrix