# diagonalize

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## diagonalize

(daɪˈæɡənəˌlaɪz) or

## diagonalise

vb (tr)
(in linear algebra) to convert a square matrix into a diagonal matrix
diˌagonaliˈzation, diˌagonaliˈsation n
ThesaurusAntonymsRelated WordsSynonymsLegend:
 Verb 1 diagonalize - transform a matrix to a diagonal matrixdiagonalisetranslate, transform - change from one form or medium into another; "Braque translated collage into oil"
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References in periodicals archive ?
Knowing which kernel we can use it to make K circulant, it is possible to diagonalize Eq.
The evolution equation derives from the Brocket-Wegner flow that was proposed to diagonalize matrices and operators by a strongly continuous unitary flow.
Dynamical system that sort lists, diagonalize matrices and solve linear programming problems.
the first block column of L for a structure preserving transformation to block diagonalize [lambda][?
But it isn't represented in the eigenvector basis, for it is non-diagonal; that is, we have to diagonalize else
Here a finite Hamiltonian matrix is obtained and one can diagonalize it, find the smallest eigenvalue [E.
The physical interpretation of Proposition 3 is that in order to diagonalize the correlation matrix of the MIMO channel and at the same time to obtain the largest possible link power then the columns of the matrix T' [cross product] R should be chosen so that they equal the eigenvectors of the matrix [R.
As we mentioned before, computations in Step 1 require us to diagonalize the matrix [TT.
One (Baselga 2003) is to first diagonalize the weight matrix and accordingly transform the system of equations, then solve as an independent observations problem and finally undo the transformation.
Furthermore, the restrictions that diagonalize the variance-covariance matrix need not be Choleski, and the equations of the transformed model need not be strictly recursive.
Humans love to take shortcuts; they love to diagonalize.
Viable candidates include the Bohm theory which, selecting position as the preferred determinate observable, solves the measurement problem if measurement outcomes are without exception recorded in positions, and Modal Interpretations which, making the preferred determinate observable state-dependent, solve the measurement problem if measurement outcomes are without exception recorded in observables whose eigenbases diagonalize the post-measurement reduced states of participant apparatus.

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