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About strongly polynomial time algorithms for quadratic optimization over submodular constraints
Cited 61 time in
Web of Science
Cited 41 time in Scopus
- Authors
- Issue Date
- 1995
- Publisher
- Springer Verlag
- Citation
- Mathematical Programming 69 (1995) 269-309
- Keywords
- Quadratic programming ; Submodular constraints ; Kuhn-Tucker conditions ; Lexicographically optimal flow ; Parametric maximum flow
- Abstract
- We present new strongly polynomial algorithms for special cases of convex separable quadratic minimization over submodular constraints. The main results are: an O(NM log(N2/M)) algorithm for the problem Network defined on a network on M arcs and N nodes; an O(n log n) algorithm for the tree problem on n variables; an O(n log n) algorithm for the Nested problem,
and a linear time algorithm for the Generalized Upper Bound problem. These algorithms are the best known so rar for these problems. The status of the general problem and open questions are presented as weil.
- ISSN
- 0025-5610 (print)
1436-4646 (online)
- Language
- English
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