Linear Angle Based Parameterization - HAL
... Linearization was already used in previous methods (e.g. ABF++). However, in our case, before linearizing the constraints, we carefully reformulate the problem in terms of alternative variables, that will make this linearization so accurate that solving single linear system will converge to the solu ...
... Linearization was already used in previous methods (e.g. ABF++). However, in our case, before linearizing the constraints, we carefully reformulate the problem in terms of alternative variables, that will make this linearization so accurate that solving single linear system will converge to the solu ...
Timing Optimization During the Physical Synthesis of
... overall timing optimization. The main limitation of all such techniques results exactly from their net-bynet approach, which may lead to locally-optimal solutions, as highlighted in [Yu et al. 2015]. The very limited availability of wide and thick wires may lead to poor timing optimization when an i ...
... overall timing optimization. The main limitation of all such techniques results exactly from their net-bynet approach, which may lead to locally-optimal solutions, as highlighted in [Yu et al. 2015]. The very limited availability of wide and thick wires may lead to poor timing optimization when an i ...
JDEP384hLecture18.pdf
... A well dened nite sequence of algebraic operations that produces the solution (accepting that there may be loss of accuracy due to oating point error and system sensitivity.) Most direct methods rely on reducing system to a triangular system of equations, then back solving. The condition number o ...
... A well dened nite sequence of algebraic operations that produces the solution (accepting that there may be loss of accuracy due to oating point error and system sensitivity.) Most direct methods rely on reducing system to a triangular system of equations, then back solving. The condition number o ...
Lectures on Mean Field Games
... and [0, T ] 3 t ,→ Σ(t, 0, 0, δ(0,0) ) is also assumed to be continuous. Under (A1–3), there exists a solution (X, Y, Z) ∈ S2,d × S2,p × H2,p×m ...
... and [0, T ] 3 t ,→ Σ(t, 0, 0, δ(0,0) ) is also assumed to be continuous. Under (A1–3), there exists a solution (X, Y, Z) ∈ S2,d × S2,p × H2,p×m ...
SOME DISCRETE EXTREME PROBLEMS
... r < n we select one solution of the set). The obtained solution x we substitute in all inequalities of system S, we separate those from them, to which x satisfies. These inequalities form ESS. We remember the power of obtained ESS and the corresponding solution x. The construction of the set of su ...
... r < n we select one solution of the set). The obtained solution x we substitute in all inequalities of system S, we separate those from them, to which x satisfies. These inequalities form ESS. We remember the power of obtained ESS and the corresponding solution x. The construction of the set of su ...
Compactness of approximate solutions (for some evolution PDEs
... (fn )n∈N is bounded in L1 (0, T ), L1 (Ω)) and then in L1 ((0, T ), W?−1,1 (Ω)), since L1 (Ω) is continously embedded in W?−1,1 (Ω), (div(vun ))n∈N is bounded in L1 ((0, T ), W?−1,1 (Ω)) since (vun )n∈N is bounded in L1 ((0, T ), (L1 (Ω))d and div is a continuous operator from (L1 (Ω))d to W?−1,1 (Ω ...
... (fn )n∈N is bounded in L1 (0, T ), L1 (Ω)) and then in L1 ((0, T ), W?−1,1 (Ω)), since L1 (Ω) is continously embedded in W?−1,1 (Ω), (div(vun ))n∈N is bounded in L1 ((0, T ), W?−1,1 (Ω)) since (vun )n∈N is bounded in L1 ((0, T ), (L1 (Ω))d and div is a continuous operator from (L1 (Ω))d to W?−1,1 (Ω ...
Multiple-criteria decision analysis
Multiple-criteria decision-making or multiple-criteria decision analysis (MCDA) is a sub-discipline of operations research that explicitly considers multiple criteria in decision-making environments. Whether in our daily lives or in professional settings, there are typically multiple conflicting criteria that need to be evaluated in making decisions. Cost or price is usually one of the main criteria. Some measure of quality is typically another criterion that is in conflict with the cost. In purchasing a car, cost, comfort, safety, and fuel economy may be some of the main criteria we consider. It is unusual that the cheapest car is the most comfortable and the safest one. In portfolio management, we are interested in getting high returns but at the same time reducing our risks. Again, the stocks that have the potential of bringing high returns typically also carry high risks of losing money. In a service industry, customer satisfaction and the cost of providing service are two conflicting criteria that would be useful to consider.In our daily lives, we usually weigh multiple criteria implicitly and we may be comfortable with the consequences of such decisions that are made based on only intuition. On the other hand, when stakes are high, it is important to properly structure the problem and explicitly evaluate multiple criteria. In making the decision of whether to build a nuclear power plant or not, and where to build it, there are not only very complex issues involving multiple criteria, but there are also multiple parties who are deeply affected from the consequences.Structuring complex problems well and considering multiple criteria explicitly leads to more informed and better decisions. There have been important advances in this field since the start of the modern multiple-criteria decision-making discipline in the early 1960s. A variety of approaches and methods, many implemented by specialized decision-making software, have been developed for their application in an array of disciplines, ranging from politics and business to the environment and energy.