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An exact duality theory for semidefinite programming and its complexity implications

Published: 01 May 1997 Publication History

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  • (2023)A note on the computational complexity of the moment-SOS hierarchy for polynomial optimizationProceedings of the 2023 International Symposium on Symbolic and Algebraic Computation10.1145/3597066.3597075(280-288)Online publication date: 24-Jul-2023
  • (2019)Projections onto the Set of Feasible Inputs and the Set of Feasible Solutions2019 57th Annual Allerton Conference on Communication, Control, and Computing (Allerton)10.1109/ALLERTON.2019.8919776(937-943)Online publication date: 24-Sep-2019
  • (2019)Infeasibility Detection in the Alternating Direction Method of Multipliers for Convex OptimizationJournal of Optimization Theory and Applications10.1007/s10957-019-01575-y183:2(490-519)Online publication date: 1-Nov-2019
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Information

Published In

cover image Mathematical Programming: Series A and B
Mathematical Programming: Series A and B  Volume 77, Issue 2
May 1, 1997
217 pages
ISSN:0025-5610
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Publisher

Springer-Verlag

Berlin, Heidelberg

Publication History

Published: 01 May 1997

Author Tags

  1. complexity classes
  2. semidefinite programming
  3. strong duality
  4. theorems of the alternative

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Cited By

View all
  • (2023)A note on the computational complexity of the moment-SOS hierarchy for polynomial optimizationProceedings of the 2023 International Symposium on Symbolic and Algebraic Computation10.1145/3597066.3597075(280-288)Online publication date: 24-Jul-2023
  • (2019)Projections onto the Set of Feasible Inputs and the Set of Feasible Solutions2019 57th Annual Allerton Conference on Communication, Control, and Computing (Allerton)10.1109/ALLERTON.2019.8919776(937-943)Online publication date: 24-Sep-2019
  • (2019)Infeasibility Detection in the Alternating Direction Method of Multipliers for Convex OptimizationJournal of Optimization Theory and Applications10.1007/s10957-019-01575-y183:2(490-519)Online publication date: 1-Nov-2019
  • (2018)Exact Algorithms for Semidefinite Programs with Degenerate Feasible SetProceedings of the 2018 ACM International Symposium on Symbolic and Algebraic Computation10.1145/3208976.3209022(191-198)Online publication date: 11-Jul-2018
  • (2018)Partial facial reductionMathematical Programming: Series A and B10.1007/s10107-017-1169-9171:1-2(1-54)Online publication date: 1-Sep-2018
  • (2018)Exact duals and short certificates of infeasibility and weak infeasibility in conic linear programmingMathematical Programming: Series A and B10.1007/s10107-017-1136-5167:2(435-480)Online publication date: 1-Feb-2018
  • (2017)The Many Faces of Degeneracy in Conic OptimizationFoundations and Trends in Optimization10.1561/24000000113:2(77-170)Online publication date: 20-Dec-2017
  • (2017)Universal Rigidity of Complete Bipartite GraphsDiscrete & Computational Geometry10.1007/s00454-016-9836-957:2(281-304)Online publication date: 1-Mar-2017
  • (2017)Counterexample-Guided Refinement of Template PolyhedraProceedings, Part I, of the 23rd International Conference on Tools and Algorithms for the Construction and Analysis of Systems - Volume 1020510.1007/978-3-662-54577-5_34(589-606)Online publication date: 22-Apr-2017
  • (2016)Solving Generic Nonarchimedean Semidefinite Programs Using Stochastic Game AlgorithmsProceedings of the 2016 ACM International Symposium on Symbolic and Algebraic Computation10.1145/2930889.2930935(31-38)Online publication date: 20-Jul-2016
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