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Using the sensitivity matrix, it is shown that the added components indeed eliminate vibration localization.
The BP method solves a system of equations which relates the damage parameters to the structural modal responses using the sensitivity matrix.
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.
The phase corrected metabolite SI data from each coil are then recombined using the sensitivity matrix, measured from the water SI.
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The PCA based method does not use the sensitivity matrix S, but a sensitivity matrix is calculated for each component r i of the response function separately.
A pseudo code description of the method can be found in Appendix C. The PCA based method differs from the other methods described here in that it does not use the sensitivity matrix S as defined in equation (7) but a truncated matrix which we refer to by.
Different designs were generated using the original sensitivity matrix, the score matrix as well as using a space-filling design and performing a sequential approach.
The results show no significant difference when using the original sensitivity matrix or the score matrix.
The upscaling procedure used in the forward simulations was based on the homogeneity-pattern created by thresholding the model space using the wavelet sensitivity matrix.
They are only used to improve the sensitivity matrix and difference calculation between the analytical and experimental FRF data without introducing additional difference equation.
The pseudo-code for the GPU kernel used to assemble the sensitivity matrix is listed in Algorithm 2. The threads are started in blocks of dimension (x, y, z) = (4 × 4 × 32).
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