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Gurakan et al. [22] extended the solution of [21] to adapt more network structures: relay channel and multiple access channel.

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Next, we extend the solution of RC-MCSB problem to our target problem and present a novel and efficient bottom-up solution.

Then, the same idea is in turn applied to extend the solution of a reduced matrix eigen-decomposition problem to approximate the eigenvectors of an SPSD matrix.

Moreover, the other inequalities in Theorem 2.2, in which (M_{i}) is independent of T, imply that we can extend the solution of problem (1) to the global range.

By extending the solution of a given ordinary differential equation (ODE) into the complex domain, one has the possibility, instead of asking for a global solution for an ODE, to look for solutions locally and obtain a more global result by analytic continuation.

It is possible to extend the solution on the right of to some where the solution will assume the value.

This approach takes into account the a priori structural constraints of the synthesis problem, analytically extending the solution to the subdomain of synthesis as well as finding the tolerances for small perturbations of the objective functional.

Now we need to extend the solution ϕ of equation (3.1) to the domain ((-infty,xi^)) and ((xi^,+infty)).

These methods are further extended to the solution of the quasi-linear PDE given by (1 - 2).

The proposed optimization approaches can be extended to the solution of integer programming problems in other engineering disciplines also.

The vorticity-velocity formulation of the Navier-Stokes equations is extended to the solution of three-dimensional compressible fluid flow and heat transfer problems.

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