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## org.apache.commons.math.linear
Class QRDecompositionImpl.Solver

    java.lang.Object
      org.apache.commons.math.linear.QRDecompositionImpl.Solver

All Implemented Interfaces:
  DecompositionSolver

Enclosing class:
  QRDecompositionImpl

    private static class QRDecompositionImpl.Solver

extends Object
implements DecompositionSolver

Specialized solver.

Field Summary
`private double[][]` | `qrt` A packed TRANSPOSED representation of the QR decomposition.
`private double[]` | `rDiag` The diagonal elements of R.

Constructor Summary
`private` | `QRDecompositionImpl.Solver(double[][] qrt, double[] rDiag)` Build a solver from decomposed matrix.

Method Summary
`RealMatrix` | `getInverse()` Get the inverse (or pseudo-inverse) of the decomposed matrix.
`boolean` | `isNonSingular()` Check if the decomposed matrix is non-singular.
`ArrayRealVector` | `solve(ArrayRealVector b)` Solve the linear equation A × X = B.
`double[]` | `solve(double[] b)` Solve the linear equation A × X = B for matrices A.
`RealMatrix` | `solve(RealMatrix b)` Solve the linear equation A × X = B for matrices A.
`RealVector` | `solve(RealVector b)` Solve the linear equation A × X = B for matrices A.

Methods inherited from class java.lang.Object
`clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait`

Field Detail

### qrt

    private final double[][] qrt

  A packed TRANSPOSED representation of the QR decomposition.

  The elements BELOW the diagonal are the elements of the UPPER triangular matrix R, and the rows ABOVE the diagonal are the Householder reflector vectors from which an explicit form of Q can be recomputed if desired.

### rDiag

    private final double[] rDiag

  The diagonal elements of R.

Constructor Detail

### QRDecompositionImpl.Solver

    private QRDecompositionImpl.Solver(double[][] qrt,
                                       double[] rDiag)

  Build a solver from decomposed matrix.

  Parameters:
    `qrt` - packed TRANSPOSED representation of the QR decomposition
    `rDiag` - diagonal elements of R

Method Detail

### 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

### solve

    public double[] solve(double[] b)
                   throws IllegalArgumentException,
                          InvalidMatrixException

  Solve the linear equation A × X = B for matrices A.

  The A matrix is implicit, it is provided by the underlying decomposition algorithm.

  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:
    `IllegalArgumentException` - if matrices dimensions don't match
    `InvalidMatrixException` - if decomposed matrix is singular

### solve

    public RealVector solve(RealVector b)
                     throws IllegalArgumentException,
                            InvalidMatrixException

  Solve the linear equation A × X = B for matrices A.

  The A matrix is implicit, it is provided by the underlying decomposition algorithm.

  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:
    `IllegalArgumentException` - if matrices dimensions don't match
    `InvalidMatrixException` - if decomposed matrix is singular

### solve

    public ArrayRealVector solve(ArrayRealVector b)
                          throws IllegalArgumentException,
                                 InvalidMatrixException

  Solve the linear equation A × X = B.

  The A matrix is implicit here. It is

  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:
    `IllegalArgumentException` - if matrices dimensions don't match
    `InvalidMatrixException` - if decomposed matrix is singular

### solve

    public RealMatrix solve(RealMatrix b)
                     throws IllegalArgumentException,
                            InvalidMatrixException

  Solve the linear equation A × X = B for matrices A.

  The A matrix is implicit, it is provided by the underlying decomposition algorithm.

  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:
    `IllegalArgumentException` - if matrices dimensions don't match
    `InvalidMatrixException` - if decomposed matrix is singular

### getInverse

    public RealMatrix getInverse()
                          throws InvalidMatrixException

  Get the inverse (or pseudo-inverse) of the decomposed matrix.

  Specified by:
    `getInverse` in interface `DecompositionSolver`
  Returns:
    inverse matrix
  Throws:
    `InvalidMatrixException` - if decomposed matrix is singular

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