In Algorithm 2 we summarize the main computations involved in the Arnoldi orthogonalization
In this context, this method helps find the best non-biased estimators for regression between dependent and independent variables, providing the best equation and coefficients that enable the optimization of the orthogonalization
of the regression equation's solution vectors with the residues from this same equation.
Subsequent to orthogonalization
of the residuals, impulse response functions and variance decompositions were constructed from the VAR coefficients.
The application-specific orthonormal basis has been designed applying the N th order Gram-Schmidt process, called also standard N th order Gram-Schmidt orthogonalization
Indeed, one can construct them by choosing any total order refining the dominance order and applying Gram-Schmidt orthogonalization
process to the monomial symmetric function basis.
With the Cholesky approach to orthogonalization
, it is natural to think about the order of variables in the VAR.
The triangularization process can be realized by any of the orthogonal transformation components; Givens rotations, Householder transformation and Modified Gram-Schmidt orthogonalization
899), thus the orthogonalization
technique was applied in Model 3, using a modified Gram-Schmidt procedure (Cohen & Cohen, 1983) that partials out the common variance creating transformed variables that are uncorrelated with one another.
n) of elastic airplane after scaling or orthogonalization
mechanism is displayed in Figure 1.
To solve the eigenvalue problem for the system of ordinary differential equations (17) with the boundary conditions (18), we will combine discrete orthogonalization
with incremental search ([TEXT NOT REPRODUCIBLE IN ASCII] 1986).
3 Wavelet OFDM: specific technology of Panasonic which adopts OFDM (Orthogonal Frequency Division Multiplexing) applying wavelet conversion to orthogonalization
of each subcarrier, achieving efficient high-speed data transmission.