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Figure 3 shows the tensor model for projection matrices calculation.
Large progress has been done in ion-beam optics with the introduction of "elemental" blocks, that allows optical matrices calculation within LISE++.
Based on an inverse Broyden-Fletcher-Goldfarb-Shanno (BFGS) approach, a quasi-Newton method with a suitable linear search is developed and used to solve those nonlinear equations, thus a new aeroelastic method without Jacobian matrices calculation is proposed.
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We observed that, because of additional synchronization and communication overhead, it is not advantageous to first parallelize all P matrix calculation and subsequently (in a second parallel region) calculate all per-site likelihood calculations.
The memory of the input matrix can be re-used in inverse matrix calculation and the output matrices re-use the memory that was allocated to calculating the inverse matrix.
By using this algorithm, the inverse matrix of (24) can be calculated perfectly with the same accuracy as that for the direct inverse matrix calculation.
"You use iterative methods" to do the matrix calculation.
The structure is characterized by using transfer matrix calculation.
It consists of three major units: covariance matrix calculation, linear equation solver, and final weight calculation.
Its brief procedures contain large matrix transformation, singular value decomposition, orthogonal matrix calculation, and so on.
This is mainly because they do not require inverse matrix calculation but only direct matrix products.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com