piecewise constant solutionsHilbert space frameworknew signal reconstruction algorithmpiecewise polynomial truncated singular value decomposition algorithmtotal variation regularizationlocal Holder exponentsclassical Tikhonov regularization/ A0230 Function theory, analysis A0260 Numerical approximation and analysis A0250 ...
A logical vector that indicates whether a general piecewise-linear function constraint appears in the computed IIS. genconpoly A logical vector that indicates whether a polynomial function constraint appears in the computed IIS. genconexp A logical vector that indicates whether a natural exponential fu...
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Solving DMREs by a piecewise-linearized method based on the conmutant equation Let us suppose that the right-hand side of (1)F(t,X)=A21(t)+A22(t)X−XA11(t)−XA12(t)X is a Lipschitz function on [t0,tf]×Rm×n and its second order partial derivatives are bounded on that regi...
What conditions must be met for a function to be continuous at a point, and how do different types of discontinuities, such as holes, jumps, and asymptotes, affect the analysis of rational and piecewise functions? How do the domains and ranges of common functions like constant, identity, squa...
However, they were linearized using a piecewise linearization method in order to employ a MILP formulation. Piecewise linearization methods are frequently used in optimization problems to convert nonlinear problems to linear ones, so that they can be solved in an LP or a MILP environment [123]. ...
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A piecewise linear cost function in a node. routes. The routes may therefore contain cycles if the network includes negative cost cycles satisfying the time constraints. The number of cycles depends on the location of the harbours and the tightness of the constraints. The elimination of 2-...
Let f=(fi)i=1,2,⋯,n and fi be a real function on Rn defined byfi(x)=〈Ti,x〉+max{li,min{xi,ui}}−bi,where Ti is the ith row of matrix T. Note that f, fi are piecewise linear functions. Moreover, x*∈Rn is a solution of (1) if and only if x⁎ satisfiesf(x...
Population games are games with a finite set of available strategies and an infinite number of players, in which the reward for choosing a given strategy is a function of the distribution of players over strategies. The paper shows that, in a certain class of maxmin optimization problems, it...