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In this paper, motivated by the projection methods in [3, 11] and the conjugate gradient methods in [13, 14], we propose a new family of conjugate gradient projection methods for solving nonlinear problem (1.1).
Finally, we investigate the computations implemented by the projection methods by examining the detailed composition of the lower-dimensional subspaces.
In addition, we have looked into the computations that are implemented by the projection methods, primarily focusing on MDA and PCA.
Moreover, we investigated the extent to which the computations implemented by the projection methods reflect the underlying hierarchical properties of the neural populations.
The structure of weighting factors for the discriminant dimensions suggests that although the arm movements have been sampled at only four discrete angles, the computation implemented by the projection methods takes advantage of the continuous modulation of neurons by pooling units with similar tuning properties to achieve discrimination between different types of movements.
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By using the projection methods, we suggest and analyze the iterative schemes for finding the approximation solvability of a system of general variational inequalities involving different nonlinear operators in the framework of Hilbert spaces.
To solve this linear system efficiently, we employ a Krylov subspace method preconditioned by the projection method.
The updating laws for designed controller parameters are derived by the projection method, and the tracking error can be reduced as small as possible.
The equivalence rules between operations in physical and spectral spaces are efficiently used to solve the Poisson equation introduced by the projection method.
Projection methods, that split the computation of the velocity from the pressure, are very popular in fluid dynamics since the boundary errors generated by the projection method are localized mainly near the boundary layers where the incorrect pressure boundary conditions are imposed.
Furthermore, the italic digit '2' denotes those tags with a single occurrence of the same postpreamble that can be decoded by the projection method (scenario 2) as explained in [21].
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com