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Rodrigues (2006) derived the adjoint equations in a much neater way, and provided a method for multiplication of a vector by the sensitivity matrix or its transpose.
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Zhang et al. [16] adopted MSA to research the electrical impedance tomography by using the sensitivity matrix update, and the reconstructed images after sensitivity matrix update were compared in power system.
A more complete view of the performance of the traditional field value method versus the gradient method can be seen by examining the sensitivity matrix S n, m) of the latter in Fig. 6.
In most studies, correlations are detected by analysing the sensitivity matrix and the Fisher information matrix (FIM) [ 1, 16, 20- 23], from which local confidence regions of parameter solutions can be obtained.
The inverse solution is obtained by pseudoinversion of the sensitivity matrix of relative amplitudes and phases.
Explicit relations between the parameter correlations and the control signals can be derived by simply analyzing the sensitivity matrix of the right-hand side of the model equations.
We then generated the sensitivity matrix by running an experiment where the oracle was accessed to confirm the matches found by our heuristic algorithm.
Second, the sensitivity matrix is replaced by its constrained version, given by (9).
We want to know the sensitivity matrix S. By definition it is positive definite and symmetric, and thus has N(N + 1)/2 unknown components.
Moreover to reduce the computation time, the sensitivity matrix is updated by Broyden combined update method.
A heat map image of the sensitivity matrix is dominated by the production rates, and the image itself is not very illuminating.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com