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Third, the near-optimal trajectory with the fuel objective function is solved by homotopic iterations.
The basic volumetric source function is solved by utilizing orthogonal transformation in real space, which solves the problem that the non-linear equation (indicating non-Darcy effect) cannot adopt Laplace transformation.
The objection function is solved by splitting the Bregman algorithm.
Then, the objection function is solved by the alternating direction multiplier methods.
The non-negative constraint of solution is implemented by variable substitution, and then the modified objective function is solved by the Levenberg Marquardt method.
For minimizing both cost and emission, multi-objective function is solved by ant lion optimizer (ALO) which is characterized by simplicity, high convergence ability and requirement of less controlling parameters.
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The objective function was solved by the alternating direction multiplier method (ADMM), and the optimal solution was obtained.
Cho, creatinine, and NAA peaks were calculated and then their integral function was solved by automatic and manual measurement.
The peaks of choline (Cho), creatine (Cr), and N-acetylaspartate (NAA) were calculated, and their integral function was solved by automatic and manual measurement.
The optimization function was solved by the shortest path package in R, where Dijkstra's algorithm was employed and the length controlling parameter λ was set as zero to gain all the possible predictions.
The Pan-function is solved by using Fourier series, and the solution can be very close to real value when the number of components in Fourier series is infinite.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com