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Exact(11)
The global stiffness matrix is solved using Gauss elimination method.
Note that the matrix is solved in (a).
By minimizing in (11), the MMSE MIMO LE matrix is solved as (12).
The case of immeasurable state is considered where the observer gain matrix is solved by Sylvester equation.
In this case, the problem of how to construct the Cauchy matrix is solved analytically thanks to a delayed matrix exponential, as defined below.
The problem, written in primal formulation on both the fractures and the porous matrix, is solved resorting to the constrained minimization of a properly designed cost functional that expresses the matching conditions at fracture fracture and fracture matrix interfaces.
Similar(49)
In this approach, the fracture pressure and water saturations in fracture and the matrix pressure and water saturation in matrix are solved iteratively.
Therefore, we established the injection wellbore constraint equations, which were coupled with the oil/water two-phase numerical reservoir models, and then the seven diagonal form sparse coefficient matrix was solved by block precondition of generalized minimal residual algorithm.
Moreover, by taking the objects to be evaluated as evaluation experts, the problem of how to generate evaluation matrices is solved.
The assembled Jacobian matrices are solved by using preconditioned conjugate gradient-type methods employing a block-incomplete LU factorization and reduced system preconditioning.
Two matrices were solved for unknown time independent and time dependent constants by using matrix inversion method for an experimental climatic data of Varanasi, India and design parameters of BiSPVT system.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com