Linear programming with infinite, finite, and infinitesimal values in the right-hand side
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DOI: 10.1016/j.amc.2024.129044
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- Amodio, P. & Iavernaro, F. & Mazzia, F. & Mukhametzhanov, M.S. & Sergeyev, Ya.D., 2017. "A generalized Taylor method of order three for the solution of initial value problems in standard and infinity floating-point arithmetic," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 141(C), pages 24-39.
- Cococcioni, Marco & Pappalardo, Massimo & Sergeyev, Yaroslav D., 2018. "Lexicographic multi-objective linear programming using grossone methodology: Theory and algorithm," Applied Mathematics and Computation, Elsevier, vol. 318(C), pages 298-311.
- Fiaschi, Lorenzo & Cococcioni, Marco, 2021. "Non-Archimedean game theory: A numerical approach," Applied Mathematics and Computation, Elsevier, vol. 409(C).
- De Leone, Renato, 2018. "Nonlinear programming and Grossone: Quadratic Programing and the role of Constraint Qualifications," Applied Mathematics and Computation, Elsevier, vol. 318(C), pages 290-297.
- Gaudioso, Manlio & Giallombardo, Giovanni & Mukhametzhanov, Marat, 2018. "Numerical infinitesimals in a variable metric method for convex nonsmooth optimization," Applied Mathematics and Computation, Elsevier, vol. 318(C), pages 312-320.
- William V. Gehrlein & Dominique Lepelley, 2017.
"Elections, Voting Rules and Paradoxical Outcomes,"
Studies in Choice and Welfare,
Springer, number 978-3-319-64659-6, June.
- William V. Gehrlein & Dominique Lepelley, 2017. "Elections, Voting Rules and Paradoxical Outcomes," Post-Print hal-03571730, HAL.
- Reza Ghanbari & Khatere Ghorbani-Moghadam & Nezam Mahdavi-Amiri, 2019. "Duality in Bipolar Fuzzy Number Linear Programming Problem," Fuzzy Information and Engineering, Taylor & Francis Journals, vol. 11(2), pages 175-185, April.
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Keywords
Linear programming; Scientific computing with infinite/finite/infinitesimal values; Infinite/infinitesimal values in the right-hand side; Grossone methodology;All these keywords.
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