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Mathematics Magazine Volume 82, 2009 - Issue 3
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Original Articles

Leveling with Lagrange: An Alternate View of Constrained Optimization

Dan KalmanAmerican UniversityWashington, D.C. [email protected]
Pages 186-196 | Published online: 16 Apr 2018

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Won-Kee Hong & Manh Cuong Nguyen. (2022) AI-based Lagrange optimization for designing reinforced concrete columns. Journal of Asian Architecture and Building Engineering 21:6, pages 2330-2344.
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Yiwen Wang, Albert Kai-Sun Wong, S.-H. Gary Chan & Wai Ho Mow. (2024) Leto: Crowdsourced Radio Map Construction With Learned Topology and a Few Landmarks. IEEE Transactions on Mobile Computing 23:4, pages 2795-2812.
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Mohamed Elsayed Gabr, Ehab Fattouh & Mohamed Galal Eltarabily. (2023) Design of subsurface drainage network with minimum overall cost using Lagrange multiplier optimization. Irrigation and Drainage 73:2, pages 613-626.
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MJ Diamantopoulou, A Çömez, R Özçelik & ST Güner. (2024) Exploring machine learning modeling approaches for biomass and carbon dioxide weight estimation in Lebanon cedar trees. iForest - Biogeosciences and Forestry 17:1, pages 19-28.
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Tingting Dan, Minjeong Kim, Won Hwa Kim & Guorong Wu. (2024) Developing Explainable Deep Model for Discovering Novel Control Mechanism of Neuro-Dynamics. IEEE Transactions on Medical Imaging 43:1, pages 427-438.
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P. Azzi, R. Desmorat, B. Kolev & F. Priziac. (2023) The Distance to Cubic Symmetry Class as a Polynomial Optimization Problem. Journal of Elasticity.
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Wei Li & Barrie R. Nault. (2023) The robustness of scheduling for trade-off balancing in one-stage production. Manufacturing Letters 35, pages 9-19.
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Andriy Luntovskyy, Igor Melnyk & Alina Pochynok. (2023) 5G and Beyond: Shannon's Channel Capacity. 5G and Beyond: Shannon's Channel Capacity.
Simone Rusconi, Christina Schenk, Arghir Zarnescu & Elena Akhmatskaya. (2023) Reducing model complexity by means of the optimal scaling: Population balance model for latex particles morphology formation. Applied Mathematics and Computation 443, pages 127756.
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B. Z. Belashev. 2023. Software Engineering Research in System Science. Software Engineering Research in System Science 209 216 .
D. S. Fominykh, A. F. Rezchikov, V. A. Kushnikov, V. A. Ivaschenko & A. S. Bogomolov. (2022) The Models and Algorithms for Product Quality Control in Welding by Robotic Technological Complexes. Mekhatronika, Avtomatizatsiya, Upravlenie 23:12, pages 637-642.
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Jinwoo Choi, Capprin Bass & Ross L. Hatton. (2022) Optimal Gait Families using Lagrange Multiplier Method. Optimal Gait Families using Lagrange Multiplier Method.
Florian Vixège, Alain Berod, Pierre-Yves Courand, Simon Mendez, Franck Nicoud, Philippe Blanc-Benon, Didier Vray & Damien Garcia. (2022) Full-volume three-component intraventricular vector flow mapping by triplane color Doppler. Physics in Medicine & Biology 67:9, pages 095004.
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Mohamed Abdelhamid & Aleksander Czekanski. (2021) Revisiting non-convexity in topology optimization of compliance minimization problems. Engineering Computations 39:3, pages 893-915.
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Bing Yang, Xueqin Xiang, Wanzeng Kong, Yong Peng & Jinliang Yao. (2021) Adaptive multi-task learning using lagrange multiplier for automatic art analysis. Multimedia Tools and Applications 81:3, pages 3715-3733.
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Nina Plyaskina. (2021) Economic System Management Using Network Models. Economic System Management Using Network Models.
Florian Vixège, Alain Berod, Franck Nicoud, Pierre-Yves Courand, Didier Vray & Damien Garcia. 2021. Functional Imaging and Modeling of the Heart. Functional Imaging and Modeling of the Heart 587 594 .
Horia Andrei, Mihai Iordache, Paul Cristian Andrei, Marilena Stanculescu, Sorin Deleanu & Lavinia Bobaru. 2021. Numerical Methods for Energy Applications. Numerical Methods for Energy Applications 649 678 .
Jacqueline A. R. Shea, Elise Gwin & Eric Neuscamman. (2020) A Generalized Variational Principle with Applications to Excited State Mean Field Theory. Journal of Chemical Theory and Computation 16:3, pages 1526-1540.
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Anthony Arguez & Scott Applequist. (2013) A Harmonic Approach for Calculating Daily Temperature Normals Constrained by Homogenized Monthly Temperature Normals. Journal of Atmospheric and Oceanic Technology 30:7, pages 1259-1265.
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Dan Kalman & Michael Hoy. (2010) Intuitions About Lagrangian Optimization. SSRN Electronic Journal.
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