Sentence examples for a sequence of upper and lower from inspiring English sources
The main feature of the lifting-based DWT scheme is to break up high-pass and low-pass filters into a sequence of upper and lower triangular matrices and convert the filter implementation into banded matrix multiplications.
The basic idea of proposed approach is to generate a converging sequence of upper and lower bounds to the original problem.
In fact, we obtain sequences of upper and lower solutions converging monotonically and quadratically to a unique solution of the problem at hand.
Two monotone sequences of upper and lower solutions which converge uniformly to the unique solution of the problem are constructed using the method of lower and upper solutions.
The global minimum is approached from above and below by generating converging sequences of upper and lower bounds.
Our results are obtained by constructing monotone iterative sequences of upper and lower solutions and applying the comparison result.
The authors constructed two well-defined monotone iterative sequences of upper and lower solutions and proved that they converge uniformly to the actual solution of problem (1.3).
This method alternates between DWD iterations and BD iterations, where DWD restricted master problems and BD primal problems yield a sequence of upper bounds, and BD relaxed master problems yield a sequence of lower bounds.
We have developed a multitree method which depends on iteratively solving a sequence of upper-bounding master problems and lower-bounding subproblems.
In the results below, we employ the concept of upper and lower solutions to construct two monotone sequences that converge uniformly to the exact solution of problem (1.1 - 1.2 1.1 - 1.2
As we have noted earlier, in that paper, a new definition of lower and upper solutions with corners is used that allows one to construct a sequence of upper solutions over the function minimum of the solutions in.
