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This permits solution of larger eigenproblems without resorting to external storage.
Lack of duality gap permits solution in the dual domain leading to a substantial reduction in the computational cost of determining optimal operating points of the wireless system.
This code, named P-SOCI, is an extension of an existing sequential SOCI program and permits solution to heavy-element systems requiring both explicit spin-orbit (SO) effects and significant electron correlation.
To improve the condition number of the Hessian, we advocate the use of a change of polynomial basis, defined using a Cholesky factorization of the Hessian, that permits solution of problems nearer to the boundary of the realizable set.
Afterwards, various alternatives formulations of the transshipment problem within the framework of the transportation model that permits solution of problems of the type discussed by King and Logan without the need for subtraction of artificial variables were discussed by Hurt and Tramel [13].
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We proved that the system of stochastic differential equations permits solutions that are almost surely global and positive.
They are not sequential or deterministic; however, they process in parallel which permits solutions to problems where multiple constraints must be satisfied simultaneously.
In [10], the authors have shown that the model permits solutions that are almost surely positive, and a theorem on exponential stability in mean square is proved under the condition frac{beta}{mu+gamma} + frac{{ ( {1 + eta} ){sigma^{2}}}}{2} lefrac{1}{{1 + eta}}.
Then from Theorem 4 the only permitted solution is the constant power allocation, i.e., a fixed power vector.
To permit solution of this moving-boundary problem using VLUGR2, the model equations are transformed using a dimensionless vertical coordinate.
A simple escape to this problem is to allow for time sharing in order to make the range of E f 1 ( h, p ( h ) ) convex and permit solution in the dual domain without loss of optimality.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com