There are several advantages for the infeasible interior point methods; for example, there is no longer a need to use big-M or an extra phase to find the feasible starting point.;In this dissertation, we investigate three infeasible path-following algorithms (a class of interior point methods)...
5. Infeasible path-following algorithms for convex quadratic programming. [D] . Hsieh, Yi-Chih. 1995 机译:凸二次规划的不可行路径跟踪算法。 6. Frequent Statement and Dereference Elimination for Imperative and Object-Oriented Distributed Programs [O] . Mohamed A. El-Zawawy -1 机译:强制性...
We present the convergence analysis of the inexact infeasible path-following (IIPF) interior-point algorithm. In this algorithm, the preconditioned conjugate gradient method is used to solve the reduced KKT system (the augmented system). The augmented system is preconditioned by using a block triangu...
Liu, Infeasible path-following interior point algorithm for Cartesian P∗(κ) nonlinear complementarity problems over symmetric cones, Int. J. Comput. Math. (2017). doi: 10.1080/00207160.2017.1297803 (Open in a new window)Google Scholar J. Zhang and K. Zhang, Polynomial complexity of an ...
Monteiro and I.Adler, Interior path-following primal-dual algo- rithms: Part II Convex quadratic programming, Math. Programming, 44 (1989), pp. 43-66. [21] Monteiro, R.D.C.: Primal-dual path-following algorithms for semidefinite programming. SIAM Journal on Optimization, 7, 1997, 663-...
The iteration bound matches the best-known iteration bound for these types of algorithms. This is a preview of subscription content, log in via an institution to check access. Similar content being viewed by others A Path-Following Full Newton-Step Infeasible Interior-Point Algorithm for P∗(...
central path just like the set above. From the aboving definition, we can easily get the following lemma. Lemma 2.1 For (x, y, s) ∈ N, then max{x i s i }≤ (1 +σ) x T s n min{x i s i }≥ (1 −σ) x T s n . The primal-dual affine scaling search directi...
problembyusingconventionalmulti.objectiveevolutionalalgorithms.Weconsiderthattheproblemincludesdifficultytoseekhigh qualitysolutionsbythefollowingcharacteristics:(11Sinceinfeasiblesolutionsareresembletogoodfeasiblesolutions,many infeasiblesolutionswhichhavegoodvaluesofobjectivefunctionsareeasilysoughtinthesearchprocess,f2)Infeasible...
Lin et al. (2012) [4] proposed heuristic algorithms using the actual path distance and a maximum of 11 vehicles to demonstrate that shorter travel distances are obtained when the actual path distance is used instead of the Euclidean distance [4]. Raviv et al. (2013) [5] presented two ...
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