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SECOND STEP: ESTIMATION OF THE FULL COVARIANCE MATRIX, NORMAL EQUATION AND RIGHT HAND TERM

The classical LSQR algorithm is analytically equivalent to the conjugate gradient method applied to the associated normal equation.

As it has been described in the previous subsection, the normal equation of the [R.

The result of the series analysis yield time series normal equation characteristic of Ekulu river stretch studied.

The normal equation for computing [DELTA]y is a positive definite and symmetric matrix but the normal equation for computing [DELTA]x is not symmetric.

The optimal solution to the LSP at instant k can be found by solving the normal equation.

By substituting the right-hand side of this last equation into the second normal equation, we also get two expressions for b (equation 11.

The right-hand vector b of the normal equation (A-5a) is given by

In a process of preparing a GOCO03S model, at first it is parameterized, than a combination of a consistent normal equation is computed, at least an optimum solution is prepared in a form of variance component estimation.

At each iteration, we transfer only a few vectors, including the right-hand side of the normal equation (3.

One normal equation exists for each regression parameter and the set of equations may be solved simultaneously to obtain the estimated values of the parameters.

parameters pre-elimination in order to keep the normal equation system small;

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