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An alternative is to employ an all-atom MD simulation to estimate the rmsf of the atoms around their original positions (i.e., covariance matrix) for computing dfi.
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The simulation uses a new matrix formulation for computing load-flow, steady state and time-domain solutions.
In this paper we introduce and describe an efficient thread-safe matrix library for computing element/cell residuals and Jacobians in Finite Elements and Finite Volume-like codes.
Now we briefly review some of the most important iterative matrix methods for computing polar decomposition.
As a result, if heads must be restricted at many locations, or there are many pumping cells, the embedding approach is preferred to the response matrix approach for computing sustained yield groundwater pumping strategies for confined aquifers.
To account for within patient correlation, we used robust variance covariance matrix estimators for computing standard errors for model coefficients.
The system matrix used for computing re-projections and backprojections during iterative reconstruction with pixel-based ordered subset expectation maximization (POSEM [ 31]) is derived from point spread function (PSF) measurements [ 32].
This paper also proposes a recursive inverse matrix computation scheme for computing the transmit weight in real time.
A drawback of this approach is that the matrix most relevant for computing the global optimum of the polynomial under investigation is usually large and only moderately sparse.
Those traces are also used to create the forwarding matrix in (7) for computing the analytical packet delay numbers for all the analyzed routing protocols.
Further, in [ 13] and [ 37] a matrix perturbation method for computing the steady-state probability distribution of PBNps is proposed together with its approximation variant.
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