Improved Optimality Conditions for Scalar, Vector and Set-Valued Optimization Problems 1 Preliminaries1.1 Some Special Subsets of a Vector Space . . . . . . . . . . . . . . . . . . . . . . . . .1.1.1 Generalized Interiors of Sets . . . . . . ... DT Summary 被引量: 0...
Optimality conditions without constraint qualifications are given for the convex programming problem: Maximize f(x) such that g(x) B, where f maps X into R and is concave, g maps X into Rm and is B-concave, X is a locally convex topological vector space and B is a closed convex cone...
On the conditions of solvability and the resolvent of a second-order deferential boundary operator in a space of vector functionsA boundary differential operator generated by the Sturm-Liouville differential expression with bounded operator potential and nonlocal boundary conditions is considered. The ...
One of the fundamental assumptions in traditional sampling theorems is that the signals to be sampled come from a single vector space (e.g., bandlimited fu... YM Lu,MN Do - 《IEEE Transactions on Signal Processing》 被引量: 505发表: 2008年 Exponential Decay of Energy of Evolution Equations...
This Paper deals with vector maximization problems with eonstraint in a Banachspace.we derive a scalar theorem,the Lagrange multiplier theorem and Kuhn-Trekerconditions eoncerning weak effieient and effieient solutions. Suppose that X,Y,Z are Banach spaces.Let f be a mapping from X into Y,ga...
An initialCondition object represents the free response of the system in state-space form. The object includes the converted A and C state-space matrices that correspond to sys and the estimated initial state vector X0. You can also use findstates to find initial conditions for linear models,...
The generalized optimality conditions of multiobjective programming problem in topological vector space In this study, an alternative theorem for the subconvexlike mapping in topological vector space is established. With this alternative theorem as an aid, th... Yuda,Hu,and,... - 《Journal of Mat...
This paper explores the effect of initial weight selection on feed-forward networks learning simple functions with the back-propagation technique. We first demonstrate, through the use of Monte Carlo techniques, that the magnitude of the initial condition vector (in weight space) is a very significa...
ATP-binding cassette (ABC) exporters are highly dynamic membrane proteins that extrude a wide range of substances from the cytosol4,5,6 and thereby contribute to essential cellular processes, adaptive immunity and multidrug resistance7,8. Despite their importance, the coupling of nucleotide binding, ...
The IFCs are then transformed into reciprocal space on dense momentum grids, giving rise to the dynamical matrices. This can be achieved by a Fourier interpolation of the IFCs. The small displacement method fits the IFCs in the Taylor-expanded interatomic forces: $${F}_{\varkappa \alpha }=...