INFINITE DIMENSIONAL LINEAR PROGRAMMINGFINITE-ORDER COMPENSATORDISCRETE TIME PROBLEMSUp to this time, the only known method to solve the discrete-time mixed sensitivity minimization problem in l 1 has been to use a certain infinite-dimensional linear programming approach, presented by Dahleh and Pearson...
The minimization problem in (4.121) can be accomplished practically by reformulating it as a linear programming problem. This reformulation consists of constructing two new vectors from X̃, X̃+ and X̃−, whose components are only positive. The components ofX̃+ are defined as X̃i...
Smith, and Vetta. This technique has proven very useful for achieving a number of recent breakthroughs in the development of fixed-parameter algorithms for NP-hard minimization problems. There is a clear potential for further applications as well as a further development...
which essentially is the basis pursuit problem proposed early in the context of time-frequency representation [3]. Here,∥·∥1denotes theℓ1-norm of a vector in an Euclidean space. The optimization model (BP) can be solved by linear programming. In the presence of noisy data, the linear...
The Alternating Minimization Algorithm (AMA) has been proposed by Tseng to solve convex programming problems with two-block separable linear constraints and objectives, whereby (at least) one of the components of the latter is assumed to be strongly convex. The fact that one of the subproblems to...
There is nothing inferior about optimize() except that it cannot efficiently deal with models in which parameters are given by linear combinations of coefficients and data. Mathematical statement of the moptimize( ) problem We mathematically describe the problem moptimize() solves not merely to fix...
Linear independence means that no two gradients are parallel to each other, and no gradient can be expressed as a linear combination of the others (Appendix B). When inequality constraints are also included in the problem definition, then for a point to be regular, gradients of active ...
摘要: This paper describes the theoretical and computational aspects of a method for determining a vector x that yields the minimum of a given function f(x) subject to collection of side conditions. This is a general statement of the so-called ''mathematical programming problem.'' (Author)...
-regularizer because it is a piecewise linear function, resulting in the parametric problem ( 3 ) being of the parametric linear-quadratic, albeit nonconvex, kind whose (stationary) solution path can be traced out in finite time. in general, a multivariate piecewise linear-quadratic function ...
Windheuser, T., Schlickewei, U., Schmidt, F.R., Cremers, D.: Geometrically consistent elastic matching of 3d shapes: A linear programming solution. In: 2011 International Conference on Computer Vision, IEEE, pp. 2134–2141 (2011) Wang, H., Yang, Y.: Descent methods for elastic body ...