# 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
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014
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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This treatment enables one to diagonalize data matrices to avoid hydraulic oscillation problems.
Since matrices A and B are not commutative; thus, there is no matrix to diagonalize them at the same time.
Using the matrix S, it is now possible to diagonalize the covariance and pseudocovariance matrices simultaneously.
In the case of block-wise or element-wise Jacobi methods (i.e., those that diagonalize the pivot submatrix at each step) condition (i) is trivially fulfilled.
The resulting set of states is sorted out in increasing order of energy and after that we proceeded to choose the first N = 200 states to diagonalize the Hamiltonian.
The evolution equation derives from the Brocket-Wegner flow that was proposed to diagonalize matrices and operators by a strongly continuous unitary flow.
(11.) Post by 'Diagonalize,' Sleep no More Tips and Tricks, 11:52 a.m., March 28, 2012.
This decoherence time is usually the time required to diagonalize the marginal density matrix of spin variables associated with a pure state [49]:

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