Given the diagonalizations of the submatrices, calculated above, how do we find the diagonalization of the original matrix?
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In linear algebra, an "'orthogonal diagonalization "'of a symmetric orthogonal change of coordinates.
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No diagonalization or software is necessary .-- talk ) 16 : 24, 20 March 2014 ( UTC)
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The inverse problem of transforming an arbitray coordinate system into a diagonal system can be performed mathematically with the process of diagonalization.
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His name is associated with both the Davidson correction and the " Davidson diagonalization " method which he applied to configuration interaction methods.
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The problem with this approach is that it requires diagonalization of the Kohn-Sham Hamiltonian to find the single-particle orbitals.
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In terms of density matrices, the loss of interference effects corresponds to the diagonalization of the " environmentally traced over " density matrix.
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In particular, if we have diagonalizations of our quadratic forms ( which is always possible when the characteristic is not 2 ) such that
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By starting from a steady-state configuration of electron hole correlations, the diagonalization of THz-induced dynamics yields a THz absorption spectrum
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Characteristics of the electronic eigenstates are then investigated by studies of participation numbers obtained by exact diagonalization, multifractal properties, level statistics and many others.
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