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• W2127777213 abstract "This paper develops a new variant of the classical alternating projection method for solving convex feasibility problems where the constraints are given by the intersection of two convex cones in a Hilbert space. An extension to the feasibility problem for the intersection of two convex sets is presented as well. It is shown that one can solve such problems in a finite number of steps and an explicit upper bound for the required number of steps is obtained. As an application, we propose a new finite steps algorithm for linear programming with linear matrix inequality constraints. This solution is computed by solving a sequence of a matrix eigenvalue decompositions. Moreover, the proposed procedure takes advantage of the structure of the problem. In particular, it is well adapted for problems with several small size constraints." @default.
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• W2127777213 date "2006-10-06" @default.
• W2127777213 modified "2023-09-25" @default.
• W2127777213 title "A finite steps algorithm for solving convex feasibility problems" @default.
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• W2127777213 doi "https://doi.org/10.1007/s10898-006-9088-y" @default.
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