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A transfer matrix technique is developed in which each duct is treated separately and the matrix of the influence coefficients is transformed to tri-diagonal form allowing efficient inversion.
For embedded boundary electromagnetics using the Dey Mittra (Dey and Mittra, 1997) [1] algorithm, a special grad div matrix constructed in this work allows use of multigrid methods for efficient inversion of Maxwell's curl curl matrix.
Computationally efficient inversion schemes were developed for the retrieval of soil and land cover-specific parameters which were used to build multiple species and site dependent formulations relating the two biophysical properties of interest to vegetation indices or single spectral band reflectances.
Both designs, by incorporating packet shifts, facilitate fast matrix-vector multiplication and efficient inversion of submatrices involved in the erasure or erroneous packet recovery processes.
NMR T2 inversion is an ill-posed problem, so it is critical to choose a robust and efficient inversion method to obtain credible NMR spectra.
The time required by Algorithms A and B was compared with the time required by subroutine "dkmxhf.f90" (K. Meyer, University of New England, Australia), which is a regular and efficient inversion algorithm.
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In this study we developed an efficient Bayesian inversion framework for interpreting marine seismic Amplitude Versus Angle and Controlled-Source Electromagnetic data for marine reservoir characterization.
The structural response and the sound transmission characteristics for an external random pressure field are computed through an efficient matrix inversion procedure.
Exact solutions are obtained by using the wave function expansion method, while the Born first approximation has been employed to derive explicit solutions that form the basis for efficient parametric inversion and eigenfunction back-propagation.
It is demonstrated by examples that the use of optimal control methods enable the generation of (i) improved bandwidth selective excitation pulses, (ii) more efficient selective inversion pulses to be used for generation of spin echoes, and (iii) improved frequency selective saturation pulses.
An efficient matrix inversion procedure for the off-line design of the decoding algorithm is presented to recover lost packets.
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