Package org.ejml.dense.row.decomposition.hessenberg

Class TridiagonalDecompositionHouseholderOrig_DDRM

java.lang.Object
org.ejml.dense.row.decomposition.hessenberg.TridiagonalDecompositionHouseholderOrig_DDRM
public class TridiagonalDecompositionHouseholderOrig_DDRM
extends java.lang.Object

A straight forward implementation from "Fundamentals of Matrix Computations," Second Edition.

This is only saved to provide a point of reference in benchmarks.

  • Constructor Summary

    Constructors 
    Constructor Description
    TridiagonalDecompositionHouseholderOrig_DDRM()  

  • Method Summary

    Modifier and Type Method Description
    void decompose​(org.ejml.data.DMatrixRMaj A)
    Decomposes the provided symmetric matrix.
    double getGamma​(int index)  
    org.ejml.data.DMatrixRMaj getQ​(@Nullable org.ejml.data.DMatrixRMaj Q)
    An orthogonal matrix that has the following property: T = QTAQ
    org.ejml.data.DMatrixRMaj getQT()
    Returns the interal matrix where the decomposed results are stored.
    org.ejml.data.DMatrixRMaj getT​(@Nullable org.ejml.data.DMatrixRMaj T)
    Extracts the tridiagonal matrix found in the decomposition.
    void householderSymmetric​(int row, double gamma)
    Performs the householder operations on left and right and side of the matrix.
    void init​(org.ejml.data.DMatrixRMaj A)
    If needed declares and sets up internal data structures.

    Methods inherited from class java.lang.Object

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

  • Constructor Details

  • Method Details

    • getQT

      public org.ejml.data.DMatrixRMaj getQT()
      Returns the interal matrix where the decomposed results are stored.

    • getT

      public org.ejml.data.DMatrixRMaj getT​(@Nullable @Nullable org.ejml.data.DMatrixRMaj T)
      Extracts the tridiagonal matrix found in the decomposition.
      Parameters:
      T - If not null then the results will be stored here. Otherwise a new matrix will be created.
      Returns:
      The extracted T matrix.

    • getQ

      public org.ejml.data.DMatrixRMaj getQ​(@Nullable @Nullable org.ejml.data.DMatrixRMaj Q)
      An orthogonal matrix that has the following property: T = QTAQ
      Parameters:
      Q - If not null then the results will be stored here. Otherwise a new matrix will be created.
      Returns:
      The extracted Q matrix.

    • decompose

      public void decompose​(org.ejml.data.DMatrixRMaj A)
      Decomposes the provided symmetric matrix.
      Parameters:
      A - Symmetric matrix that is going to be decomposed. Not modified.

    • householderSymmetric

      public void householderSymmetric​(int row, double gamma)
      Performs the householder operations on left and right and side of the matrix. QTAQ
      Parameters:
      row - Specifies the submatrix.
      gamma - The gamma for the householder operation

    • init

      public void init​(org.ejml.data.DMatrixRMaj A)
      If needed declares and sets up internal data structures.
      Parameters:
      A - Matrix being decomposed.

    • getGamma

      public double getGamma​(int index)