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Taking into account Equation 5, we can assure that the covariance matrices at lags multiple of P will be also diagonal with one entry being almost the same, the one corresponding to the autocovariance of the atrial signal.
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Consequently, is also diagonal, and its diagonal element can be denoted as.
It follows that I ψ is a diagonal matrix and its inverse matrix is also diagonal.
And I ψ is a diagonal matrix and its inverse matrix is also diagonal.
This model results from adding to RMM1 the restriction that H0 is also diagonal.
The matrix is hence also diagonal with the diagonal entries being the reciprocal of channel power gains of the assigned sub-carriers of the user, which are usually not equal in frequency selective channels.
The expression e Ut is also a diagonal matrix, with diagonal values e u i i t, where u ii represents the ith diagonal value.
and ∧ is also a diagonal matrix with the following structure.
In particular, if and only if all entries of are equal, then holds which is also a diagonal matrix with equal entries.
Notice, therefore, that Σ is also a diagonal matrix.
Efficiency for the diagonal preconditioner is also high, with total speedups reaching 86% on 48 CPUs.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com