orthogonalization


Also found in: Wikipedia.

orthogonalization

[ȯr‚thäg·ə·nə·lə′zā·shən]
(mathematics)
A procedure in which, given a set of linearly independent vectors in an inner product space, a set of orthogonal vectors is recursively obtained so that each set spans the same subspace.
References in periodicals archive ?
In Algorithm 2 we summarize the main computations involved in the Arnoldi orthogonalization scheme.
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 process.
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 [6,8].
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.
The 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.

Full browser ?