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. A Mizuno-Todd-Ye predictor-corrector infeasible-interior-point method for symmetric optimization with the arc-search strategy [O] . Ximei...
dim. of free var = 2 *** convert ublk to lblk SDPT3: Infeasible path-following algorithms version predcorr gam expon scale_data NT 1 0.000 1 0 it pstep dstep pinfeas dinfeas gap prim-obj dual-obj cputime 0|0.000|0.000|1.5e+02|5.3e+01|5.5e+04| 3.194898e+00 0.000000e+00| 0:...
The path feasibility containing specific program elements of the code pattern is detected by backward symbolic execution. The experimental result shows the improvement of utilizing reverse analysis for the code pattern. This paper contains the following contributions: (i) We investigate the common ...
Monteiro, R., Adler, I.: Interior path following primal-dual algorithms. Part II: convex quadratic programming. Math. Program. 44, 43–66 (1989) Article Google Scholar Polak, E., He, L.: Unified steerable phase I–phase II method of feasible directions for semi-infinite optimization. J...
Fan X, Yu B (2008) A polynomial path following algorithm for convex programming. Appl Math Comput 196(2):866–878 MathSciNet MATH Google Scholar Hertog DD (2012) Interior point approach to linear, quadratic and convex programming—algorithms and complexity. Springer, Dordrecht Google Scholar ...
In this paper we present several "infeasible-start" path-following and potential-reduction primal-dual interior-point methods for nonlinear conic problems. These methods try to find a recession direction of the feasible set of a self-dual homogeneous primal-dual problem. The methods under considerati...
Polynomial Convergence of a New Family of Primal-Dual Algorithms for Semidefinite Programming This paper establishes the polynomial convergence of a new class of primal-dual interior-point path-following feasible algorithms for semidefinite programm... RDC Monteiro,T Tsuchiya - 《Siam Journal on Optimiza...
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...
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...