# Updating the qr factorization and the least squares problem Sex chat sites beam

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In direct elimination and nullspace methods, the LSE problem is first transformed into unconstrained linear least squares (LLS) problem and then it is solved via normal equations or ].\end$$factorization of the small subproblem in order to obtain the solution of our considered problem.Numerical experiments are provided which illustrated the accuracy of the presented algorithm.Therefore, our main concern is to study the error analysis of the updating steps.For others, such as the effect of using the weighting factor, finding the$$\begin \bigl\Vert \bigr\Vert _&= \Vert e_ e_ \Vert _, \ \bigl\Vert e_^ \bigr\Vert _ &\leq \Vert e_ \Vert _ \Vert e_ \Vert _, \ &\leq\tilde_ \left \Vert \begin R_ \ G_ \end \right \Vert _ \tilde_ \left \Vert \begin\hat_\ \hat_ \end \right \Vert _.