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Exact(15)
Instead of taking full projection steps, it moves slowly towards the target set (mathcal {A}) by selectively projecting on {− 1,0,+ 1} the entries of the signature matrix that satisfy a threshold requirement.
Such constraints can be efficiently handled by the proposed estimation projection steps in the IMM estimation framework.
In [34, 35], a method referred to as relaxed alternating projections replaces the unrelaxed projection steps by underrelaxed versions.
Numerical experiments demonstrate that this modification causes the number of Krylov projection steps to become bounded independently of the grid size, thus dramatically improving efficiency and scalability.
As expected, the graphic part of the application is definitely out of the scope of any processor-based implementation, except for the 2D projection steps (3.8 M).
This paper presented a hybrid CQ projection algorithm with two projection steps and one Armijo linear-search step for solving the split feasibility problem (SFP).
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The small errors between coarse projective integration and direct full integration (which depend on the projection step size and the projection method) can be seen in Fig. 10.
This eliminates the need for a separate projection step.
Overall, the computational time to solve the projection step of our fluid/solid algorithm is similar to the time needed to solve the standard fluid-only projection step.
The algorithm solves a block isotonic regression problem in the projection step in linear time.
The monolithic treatment results in a stable projection step, i.e. the kinetic energy does not increase in the projection step.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com