From ZCubes Wiki
Revision as of 16:40, 12 July 2017 by Devika (talk | contribs) (Created page with "<div style="font-size:30px">'''QRDECOMPOSITION (Matrix) '''</div><br/> *<math>Matrix</math> is the set of values. ==Description== *This function gives the value of QR Decompo...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigation Jump to search

  • is the set of values.


  • This function gives the value of QR Decomposition.
  • In , is any matrix.
  • QR Decomposition is also called QR Factorization.
  • QR Decomposition is defined by the product of Orthogonal matrix and Upper Triangular matrix.
  • Consider any square matrix A may be decomposed as ,where stands for orthogonal matrix and stands for Upper Triangular matrix.
  • An orthogonal matrix should satisfy ,where is identity or Unitary matrix.
  • is the transpose matrix of Q.
  • If the given matrix A is non singular, then this factorization is unique.
  • Gram-Schmidt process is one of the process of computing decomposition in QR Decomposition method.


1. QRDECOMPOSITION([[2,6],[10,-15]])

 -0.19611613513818393   -0.9805806756909202
-0.9805806756909202 0.19611613513818393
-10.19803902718557	13.5320133245347
-1.1102230246251565e-15 -8.825226081218279