Linear programming (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Linear programming" in English language version.

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  • Lee, Yin-Tat; Sidford, Aaron (2015). Efficient inverse maintenance and faster algorithms for linear programming. FOCS '15 Foundations of Computer Science. arXiv:1503.01752.
  • Cohen, Michael B.; Lee, Yin-Tat; Song, Zhao (2018). Solving Linear Programs in the Current Matrix Multiplication Time. 51st Annual ACM Symposium on the Theory of Computing. STOC'19. arXiv:1810.07896.
  • Lee, Yin-Tat; Song, Zhao; Zhang, Qiuyi (2019). Solving Empirical Risk Minimization in the Current Matrix Multiplication Time. Conference on Learning Theory. COLT'19. arXiv:1905.04447.
  • Jiang, Shunhua; Song, Zhao; Weinstein, Omri; Zhang, Hengjie (2020). Faster Dynamic Matrix Inverse for Faster LPs. arXiv:2004.07470.

britannica.com

doi.org

  • von Neumann, J. (1945). "A Model of General Economic Equilibrium". The Review of Economic Studies. 13 (1): 1–9. doi:10.2307/2296111. JSTOR 2296111.
  • Kemeny, J. G.; Morgenstern, O.; Thompson, G. L. (1956). "A Generalization of the von Neumann Model of an Expanding Economy". Econometrica. 24 (2): 115–135. doi:10.2307/1905746. JSTOR 1905746.
  • George B. Dantzig (April 1982). "Reminiscences about the origins of linear programming" (PDF). Operations Research Letters. 1 (2): 43–48. doi:10.1016/0167-6377(82)90043-8. Archived from the original on May 20, 2015.
  • Narendra Karmarkar (1984). "A New Polynomial-Time Algorithm for Linear Programming". Combinatorica. 4 (4): 373–395. doi:10.1007/BF02579150. S2CID 7257867.
  • M. Grundmann; V. Kwatra; I. Essa (2011). "Auto-directed video stabilization with robust L1 optimal camera paths". CVPR 2011 (PDF). pp. 225–232. doi:10.1109/CVPR.2011.5995525. ISBN 978-1-4577-0394-2. S2CID 17707171.
  • Fukuda, Komei; Terlaky, Tamás (1997). Thomas M. Liebling; Dominique de Werra (eds.). "Criss-cross methods: A fresh view on pivot algorithms". Mathematical Programming, Series B. 79 (1–3): 369–395. CiteSeerX 10.1.1.36.9373. doi:10.1007/BF02614325. MR 1464775. S2CID 2794181.
  • Todd (2002) Todd, Michael J. (February 2002). "The many facets of linear programming". Mathematical Programming. 91 (3): 417–436. doi:10.1007/s101070100261. S2CID 6464735. (Invited survey, from the International Symposium on Mathematical Programming.)
  • Roos, C. (1990). "An exponential example for Terlaky's pivoting rule for the criss-cross simplex method". Mathematical Programming. Series A. 46 (1): 79–84. doi:10.1007/BF01585729. MR 1045573. S2CID 33463483.
  • Strang, Gilbert (1 June 1987). "Karmarkar's algorithm and its place in applied mathematics". The Mathematical Intelligencer. 9 (2): 4–10. doi:10.1007/BF03025891. ISSN 0343-6993. MR 0883185. S2CID 123541868.
  • Vaidya, Pravin M. (1989). "Speeding-up linear programming using fast matrix multiplication". 30th Annual Symposium on Foundations of Computer Science. 30th Annual Symposium on Foundations of Computer Science. FOCS. pp. 332–337. doi:10.1109/SFCS.1989.63499. ISBN 0-8186-1982-1.
  • Illés, Tibor; Terlaky, Tamás (2002). "Pivot versus interior point methods: Pros and cons". European Journal of Operational Research. 140 (2): 170. CiteSeerX 10.1.1.646.3539. doi:10.1016/S0377-2217(02)00061-9.
  • Anstreicher, Kurt M.; Terlaky, Tamás (1994). "A Monotonic Build-Up Simplex Algorithm for Linear Programming". Operations Research. 42 (3): 556–561. doi:10.1287/opre.42.3.556. ISSN 0030-364X. JSTOR 171894.

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in-ter-trans.eu

jstor.org

  • von Neumann, J. (1945). "A Model of General Economic Equilibrium". The Review of Economic Studies. 13 (1): 1–9. doi:10.2307/2296111. JSTOR 2296111.
  • Kemeny, J. G.; Morgenstern, O.; Thompson, G. L. (1956). "A Generalization of the von Neumann Model of an Expanding Economy". Econometrica. 24 (2): 115–135. doi:10.2307/1905746. JSTOR 1905746.
  • Anstreicher, Kurt M.; Terlaky, Tamás (1994). "A Monotonic Build-Up Simplex Algorithm for Linear Programming". Operations Research. 42 (3): 556–561. doi:10.1287/opre.42.3.556. ISSN 0030-364X. JSTOR 171894.

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