diagonalization


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Noun1.diagonalization - changing a square matrix to diagonal form (with all non-zero elements on the principal diagonal); "the diagonalization of a normal matrix by a unitary transformation"
resolving, resolution - analysis into clear-cut components
matrix algebra - the part of algebra that deals with the theory of matrices
References in periodicals archive ?
2004) and block Diagonalization (BD) (Choi and Murch, 2004) based precoding techniques have been proposed for MU-MIMO systems.
In order to address this problem the diagonalization method is employed (Florian, Spiess 1982), which formulates the subproblem by fixing the effects of 'foreign flows' on the travel costs of each (dummy) link at every iteration.
Eigenvalues and eigenvectors, inner product spaces, diagonalization and quadratic forms take up the middle of the book.
The CCC model, on the other hand, has no restriction as to the diagonalization of matrices, but states that the correlations should be constant over time, substituting equation (4) for [h.
11] demonstrates the usage of Tridiagonalization and diagonalization approaches to speed up EM.
Thus, a diagonalization of a Hermitian matrix reduces the lowest eigenvalue and increases the highest eigenvalue [12, see e.
Consequently, the matrices of a slice model, obtained using certain time-consuming processes, such as diagonalization and inversion (necessary for the state model reduction technique), can be directly used for other slices as long as all slices have the same height.
Translation and diagonalization preserve stability (see Lemma 2.
This text begins with an optional chapter on the three main emphases of linear algebra: linear equations, best approximation, and diagonalization.
So by Ascoli-Arzela and a standard diagonalization argument, {[y.
Three-dimensional vector field maps representing fiber orientation in each voxel can then be obtained back from the image data through the diagonalization (a mathematical operation that provides orthogonal directions coinciding with the main diffusion directions) of the diffusion tensor determined in each voxel.
By a standard diagonalization argument, we conclude that there is a subsequence of {[u.