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This also can be solved directly using non-dominated sorting approach which can produce Pareto front.
The proposed scheme (19) forms a block linear tridiagonal system in the unknown vector (mathbf{W}^{n+1}) and can be solved directly using Crout's method.
Equation 1.1 can not be solved directly using IRKM since it is impossible to obtain a reproducing kernel satisfying nonlinear boundary conditions of Equation 1.1.
A set of integro-differential non-linear equations constitutes the model, which can be solved directly using the least-squares methods.
Then frac{partial ^{i+j} R_{y}(x) }{partial x^{i}partial y^{j}}in W_{2}^{m,0}, quad i+j=m-1, mgeq 1. Equations (4)–(8) cannot be solved directly using the reproducing kernel method, since it is impossible to obtain a reproducing kernel satisfying the initial conditions of Eqs.
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The first is solved directly using a commercial solver.
First, the problem is solved directly using an exact detailed model.
The coupled FE equilibrium equations in terms of displacements, electric and magnetic potentials are solved directly using condensation procedure.
The controller and observer gains can be solved directly by using the existing LMIs optimization techniques.
Finally, LMI-based anti-synchronization criteria can be solved directly by using LMI ToolBox of MATLAB.
The filter matrices can be solved directly by using the existing LMIs optimization techniques.
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