Lagrange multiplier (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Lagrange multiplier" in English language version.

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mathscinet.ams.org

Lasdon, Leon S. (2002) [1970]. Optimization Theory for Large Systems (reprint ed.). Mineola, New York, NY: Dover. ISBN 0-486-41999-1. MR 1888251.
Hiriart-Urruty, Jean-Baptiste; Lemaréchal, Claude (1993). "Chapter XII: Abstract duality for practitioners". Convex analysis and minimization algorithms. Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences]. Vol. 306. Berlin, DE: Springer-Verlag. pp. 136–193 (and Bibliographical comments pp. 334–335). ISBN 3-540-56852-2. MR 1295240. Volume II: Advanced theory and bundle methods.
Lemaréchal, Claude (15–19 May 2000). "Lagrangian relaxation". In Jünger, Michael; Naddef, Denis (eds.). Computational combinatorial optimization: Papers from the Spring School held in Schloß Dagstuhl. Spring School held in Schloß Dagstuhl, May 15–19, 2000. Lecture Notes in Computer Science. Vol. 2241. Berlin, DE: Springer-Verlag (published 2001). pp. 112–156. doi:10.1007/3-540-45586-8_4. ISBN 3-540-42877-1. MR 1900016. S2CID 9048698.

archive.org

de la Fuente, Angel (2000). Mathematical Methods and Models for Economists. Cambridge: Cambridge University Press. p. 285. doi:10.1017/CBO9780511810756. ISBN 978-0-521-58512-5.
Chiang, Alpha C. (1984). Fundamental Methods of Mathematical Economics (Third ed.). McGraw-Hill. p. 386. ISBN 0-07-010813-7.

arxiv.org

Janová, Jitka (2011). "Applications of a constrained mechanics methodology in economics". European Journal of Physics. 32 (6): 1443–1463. arXiv:1106.3455. Bibcode:2011EJPh...32.1443J. doi:10.1088/0143-0807/32/6/001.

books.google.com

Beavis, Brian; Dobbs, Ian M. (1990). "Static Optimization". Optimization and Stability Theory for Economic Analysis. New York: Cambridge University Press. p. 40. ISBN 0-521-33605-8.
Walsh, G.R. (1975). "Saddle-point Property of Lagrangian Function". Methods of Optimization. New York, NY: John Wiley & Sons. pp. 39–44. ISBN 0-471-91922-5.
Lafontaine, Jacques (2015). An Introduction to Differential Manifolds. Springer. p. 70. ISBN 978-3-319-20735-3.
Dixit, Avinash K. (1990). "Shadow Prices". Optimization in Economic Theory (2nd ed.). New York: Oxford University Press. pp. 40–54. ISBN 0-19-877210-6.
Heath, Michael T. (2005). Scientific Computing: An introductory survey. McGraw-Hill. p. 203. ISBN 978-0-07-124489-3.
Kamien, M. I.; Schwartz, N. L. (1991). Dynamic Optimization: The Calculus of Variations and Optimal Control in Economics and Management (Second ed.). New York: Elsevier. ISBN 0-444-01609-0.

doi.org

Kalman, Dan (2009). "Leveling with Lagrange: An alternate view of constrained optimization". Mathematics Magazine. 82 (3): 186–196. doi:10.1080/0025570X.2009.11953617. JSTOR 27765899. S2CID 121070192.
de la Fuente, Angel (2000). Mathematical Methods and Models for Economists. Cambridge: Cambridge University Press. p. 285. doi:10.1017/CBO9780511810756. ISBN 978-0-521-58512-5.
Lemaréchal, Claude (15–19 May 2000). "Lagrangian relaxation". In Jünger, Michael; Naddef, Denis (eds.). Computational combinatorial optimization: Papers from the Spring School held in Schloß Dagstuhl. Spring School held in Schloß Dagstuhl, May 15–19, 2000. Lecture Notes in Computer Science. Vol. 2241. Berlin, DE: Springer-Verlag (published 2001). pp. 112–156. doi:10.1007/3-540-45586-8_4. ISBN 3-540-42877-1. MR 1900016. S2CID 9048698.
Pourciau, Bruce H. (1980). "Modern multiplier rules". American Mathematical Monthly. 87 (6): 433–452. doi:10.2307/2320250. JSTOR 2320250.
Glötzl, Erhard; Glötzl, Florentin; Richters, Oliver (2019). "From constrained optimization to constrained dynamics: extending analogies between economics and mechanics". Journal of Economic Interaction and Coordination. 14 (3): 623–642. doi:10.1007/s11403-019-00252-7. hdl:10419/171974.
Baxley, John V.; Moorhouse, John C. (1984). "Lagrange Multiplier Problems in Economics". The American Mathematical Monthly. 91 (7): 404–412. doi:10.1080/00029890.1984.11971446..
Janová, Jitka (2011). "Applications of a constrained mechanics methodology in economics". European Journal of Physics. 32 (6): 1443–1463. arXiv:1106.3455. Bibcode:2011EJPh...32.1443J. doi:10.1088/0143-0807/32/6/001.
Gautam, Mukesh; Bhusal, Narayan; Benidris, Mohammed (2020). A sensitivity-based approach to adaptive under-frequency load shedding. 2020 IEEE Texas Power and Energy Conference (TPEC). Institute of Electronic and Electrical Engineers. pp. 1–5. doi:10.1109/TPEC48276.2020.9042569.

encyclopediaofmath.org

Vapnyarskii, I.B. (2001) [1994], "Lagrange multipliers", Encyclopedia of Mathematics, EMS Press.

handle.net

hdl.handle.net

Glötzl, Erhard; Glötzl, Florentin; Richters, Oliver (2019). "From constrained optimization to constrained dynamics: extending analogies between economics and mechanics". Journal of Economic Interaction and Coordination. 14 (3): 623–642. doi:10.1007/s11403-019-00252-7. hdl:10419/171974.

harvard.edu

ui.adsabs.harvard.edu

Janová, Jitka (2011). "Applications of a constrained mechanics methodology in economics". European Journal of Physics. 32 (6): 1443–1463. arXiv:1106.3455. Bibcode:2011EJPh...32.1443J. doi:10.1088/0143-0807/32/6/001.

jstor.org

Kalman, Dan (2009). "Leveling with Lagrange: An alternate view of constrained optimization". Mathematics Magazine. 82 (3): 186–196. doi:10.1080/0025570X.2009.11953617. JSTOR 27765899. S2CID 121070192.
Pourciau, Bruce H. (1980). "Modern multiplier rules". American Mathematical Monthly. 87 (6): 433–452. doi:10.2307/2320250. JSTOR 2320250.

maa.org

Pourciau, Bruce H. (1980). "Modern multiplier rules". American Mathematical Monthly. 87 (6): 433–452. doi:10.2307/2320250. JSTOR 2320250.

semanticscholar.org

api.semanticscholar.org

Kalman, Dan (2009). "Leveling with Lagrange: An alternate view of constrained optimization". Mathematics Magazine. 82 (3): 186–196. doi:10.1080/0025570X.2009.11953617. JSTOR 27765899. S2CID 121070192.
Lemaréchal, Claude (15–19 May 2000). "Lagrangian relaxation". In Jünger, Michael; Naddef, Denis (eds.). Computational combinatorial optimization: Papers from the Spring School held in Schloß Dagstuhl. Spring School held in Schloß Dagstuhl, May 15–19, 2000. Lecture Notes in Computer Science. Vol. 2241. Berlin, DE: Springer-Verlag (published 2001). pp. 112–156. doi:10.1007/3-540-45586-8_4. ISBN 3-540-42877-1. MR 1900016. S2CID 9048698.