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Exact(6)
end{aligned} Then we can get the whole stiff matrix and solve the finite element equation.
As an example, we obtain a fractional Legendre operational matrix and solve two fractional neutral pantograph differential equations by the constructed method.
Additionally, we also aggregate the prediction models for different saliency labels into a matrix, and solve saliency ranking via a low-rank matrix recovery problem.
However, the computation of the KL expansion could be quite expensive since we need to form a covariance matrix and solve a large-scale eigenvalue problem.
Independent vector analysis (IVA) [12 14] is a sophisticated algorithm that can simultaneously estimate the frequency-wise demixing matrix and solve the permutation problem using only one objective function.
It does not need to assemble a global stiffness matrix and solve a set of linear equations in each time step, so the computational effort and memory requirement can be reduced considerably by using this method.
Similar(54)
The calculation times for assembling a matrix, rearranging a matrix, and solving a linear system of equations are plotted.
In the conventional FEM implementation, the most time-consuming procedures are assembling the stiffness matrix and solving linear equations.
It can also be represented as close linear system with seven diagonal sparse coefficient matrix, and solved by block pretreatment of generalized minimal residual algorithm.
This association allows to reduce memory requirements and operation counts by avoiding the complete construction of the Jacobian matrix and solving a problem of reduced size.
A nested loop is used to run the solution code by assigning the constants of each equation in a 3-D matrix and solving it for the values of the variables (Daniel Arthur and Coughlin 2012).
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