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=== Additional text and interactive applets === * {{cite web |author=Resnik |title=Simple explanation with an example of governments using taxes as Lagrange multipliers |website=umiacs.umd.edu |publisher=[[University of Maryland]] |url=http://www.umiacs.umd.edu/~resnik/ling848_fa2004/lagrange.html }} * {{cite web |author=Klein, Dan |title=Lagrange multipliers without permanent scarring] Explanation with focus on the intuition |website=nlp.cs.berkeley.edu |publisher=[[University of California, Berkeley]] |url=http://nlp.cs.berkeley.edu/tutorials/lagrange-multipliers.pdf }} * {{cite web |author=Sathyanarayana, Shashi |title=Geometric representation of method of Lagrange multipliers |type=''Mathematica'' demonstration |website=wolfram.com |publisher=[[Wolfram Research]] |url=http://demonstrations.wolfram.com/GeometricRepresentationOfMethodOfLagrangeMultipliers |quote=Needs Internet Explorer / Firefox / Safari. }} β Provides compelling insight in 2 dimensions that at a minimizing point, the direction of steepest descent must be perpendicular to the tangent of the constraint curve at that point. * {{cite web |title=Lagrange multipliers β two variables |type=Applet |website=MIT Open Courseware (ocw.mit.edu) |publisher=[[Massachusetts Institute of Technology]] |url=http://ocw.mit.edu/ans7870/18/18.02/f07/tools/LagrangeMultipliersTwoVariables.html }} * {{cite web |title=Lagrange multipliers |date=Fall 2007 |type=video lecture |series=Mathematics 18-02: Multivariable calculus |volume=Lecture 13 |website=MIT Open Courseware (ocw.mit.edu) |publisher=[[Massachusetts Institute of Technology]] |url=http://ocw.mit.edu/courses/mathematics/18-02-multivariable-calculus-fall-2007/video-lectures/lecture-13-lagrange-multipliers/ }} * {{cite web |author=Bertsekas |title=Details on Lagrange multipliers |type=slides / course lecture |series=Non-Linear Programming |volume=Lectures 11 and 12 |website=athenasc.com |url=http://www.athenasc.com/NLP_Slides.pdf }} β Course slides accompanying text on nonlinear optimization * {{cite web |author=Wyatt, John |date=7 April 2004 |orig-date=19 November 2002 |title=Legrange multipliers, constrained optimization, and the maximum entropy principle |website=www-mtl.mit.edu |series={{nobr|Elec E & C S / Mech E 6.050}} β Information, entropy, and computation |volume=Unit 9 |url=http://www-mtl.mit.edu/Courses/6.050/2004/unit9/wyatt.apr.7.pdf }} β Geometric idea behind Lagrange multipliers * {{cite web |title=Using Lagrange multipliers in optimization |date=2011-12-24 |type=MATLAB example |website=matlab.cheme.cmu.edu |publisher=Carnegie Mellon University |place=Pittsburgh, PA |url=http://matlab.cheme.cmu.edu/2011/12/24/using-lagrange-multipliers-in-optimization/ }} {{Calculus topics}} {{Joseph-Louis Lagrange}} {{authority control}} [[Category:Multivariable calculus]] [[Category:Mathematical optimization]] [[Category:Mathematical and quantitative methods (economics)]]
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