Linear Programming for Cost MinimizationDonghyun Oh
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...
In addition, particular formulations of the problem are investigated, including the problem of finding a metric projection and solving a linear program, which are of independent interest. A distinctive feature of these methods is that not only convergence but also stability with respect to errors in...
For instance, in the example Eigenvalue Minimization Problem, the extra LMI constraint P > I enforces positivity of the right sides of all linear-fractional constraints. Specify the linear-fractional constraints A(x)<λB(x) last in the LMI system. gevp assumes that the last numlfc LMIs ...
contaminationbasedonlinearprogramming CHENGHuanong,MaoWenfeng,ZHENGShiing (ResearchCenterforComputerandChemicalEngineering,OingdaoUniersityof ScienceandTechnology,Oingdao266042,Shandong,China) Abstract:AmethodbasedonIinearprogrammingwasproposedtodesignwaternetworkinbatchchemicaIprocesses ...
For instance, in the example Eigenvalue Minimization Problem, the extra LMI constraint P > I enforces positivity of the right sides of all linear-fractional constraints. Specify the linear-fractional constraints A(x)<λB(x) last in the LMI system. gevp assumes that the last numlfc LMIs ...
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)...
We survey the conceptual framework and several applications of the iterative compression technique introduced in 2004 by Reed, 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...
Classics in Applied Mathematics(共90册), 这套丛书还有 《Linear Differential Operators》《Convex Analysis and Variational Problems》《The Linear Complementarity Problem》《Mathematics Applied to Deterministic Problems in the Natural Sciences》《Solving Least Squares Problems (Classics in Applied Mathematics, No...
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...