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The method is theoretically exact assuming each beam section can be modelled as Euler-Bernoulli beam and is computationally very efficient since it does not involve any matrix operations of large dimension.
Regarding the FP, the two neurons of the hidden layer lead to faster matrix operations of O 2L).
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In this work, an alternative way to calculate the aPC is suggested, which provides the optimal polynomials, Gaussian quadrature collocation points and weights from the moments using only a handful of matrix operations on the Hankel matrix of moments.
Thus, the present study considers the architectural characteristics that affect the performance of matrix operations on real multicore processors.
Table 3 Required number of matrix operations for the tracking filtering in each time step Addition Multiplication Inversion PVM α- β- γ filter 1 2 0 EKF 5 11 1.
The second appendix presents the matrix operations for an efficient implementation of the analysis.
Introduction to linear algebra: matrix operations, systems of algebraic equations, methods of solution and applications.
Linear algebra: matrix operations, systems of algebraic equations, Gaussian elimination, undetermined and overdetermined systems, coupled systems of ordinary differential equations, eigensystem analysis, normal modes.
The Mendelian transmission rules are simple and constant for diploid species, and are easily represented by matrix operations, regardless of whether genotypes are discrete or continuous.
Efficiency of matrix applications in parallel processing environments relies on two factors: speed of primitive matrix operations and layout of distributed arrays.
Sparse matrix operations dominate the performance of many scientific and engineering applications.
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