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Convex analysis
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661	From Spider-Man to Hero – Archetypal Analysis in R Manuel J. A. Eugster Friedrich Leisch Add to Reading List Source URL: cran.r-project.org Language: English - Date: 2014-07-02 11:15:30 Mathematics Linear least squares Residual sum of squares Convex hull Non-linear least squares Archetype Partition of sums of squares F-test QR decomposition Statistics Regression analysis Least squares
662	4 Diﬀerential Calculus 4.1 Add to Reading List Source URL: www.math.caltech.edu Language: English - Date: 2010-10-28 12:19:20 Differential calculus Differentiation rules Continuous function Mean value theorem Convex function Derivative Chain rule Maxima and minima Quotient rule Mathematical analysis Mathematics Calculus
663	1 Zero Duality Gap in Optimal Power Flow Problem Javad Lavaei and Steven H. Low Abstract—The optimal power flow (OPF) problem is nonconvex Add to Reading List Source URL: netlab.caltech.edu Language: English - Date: 2012-04-01 15:15:52 Duality Linear programming Semidefinite programming Quadratic programming Convex optimization Relaxation Strong duality Interior point method Optimization problem Mathematical optimization Mathematical analysis Operations research
664	Midterm Exam, Econ 210A, Fall[removed]Elmer Kink’s utility function is min{x1 , 2x2 }. Draw a few indifference curves for Elmer. These are L-shaped, with the corners lying on the line x1 = 2x2 . Find each of the follow Add to Reading List Source URL: www.econ.ucsb.edu Language: English - Date: 2008-11-19 18:29:11 Concave function Convex function Hessian matrix Quasiconvex function PROPT Logarithmically concave function Mathematical analysis Mathematical optimization Convex analysis
665	Rooftop Theorem for Concave functions This theorem asserts that if f is a differentiable concave function of a single variable, then at any point x in the domain of f , the tangent line through the point (x, f (x)) lies Add to Reading List Source URL: www.econ.ucsb.edu Language: English - Date: 2014-10-20 14:23:39 Calculus Continuous function Concave function Numerical software TomSym PROPT Mathematical analysis Mathematics Convex analysis
666	Name Midterm Examination: Economics 210A October 2011 The exam has 6 questions. Answer as many as you can. Good luck. 1) A) Must every quasi-concave function must be concave? If so, prove it. If not, Add to Reading List Source URL: www.econ.ucsb.edu Language: English - Date: 2011-10-26 14:09:17 Mathematical optimization Counterexample Logic Quasiconvex function Derivative Concave function Mathematical analysis Mathematics Convex analysis
667	Midterm Exam, Econ 210A, Fall[removed]Elmer Kink’s utility function is min{x1 , 2x2 }. Draw a few indifference curves for Elmer. Find each of the following for Elmer: • His Marshallian demand function for each good. Add to Reading List Source URL: www.econ.ucsb.edu Language: English - Date: 2008-11-03 16:55:56 Concave function Convex function Quasiconvex function Utility Hessian matrix Expected utility hypothesis Insurance Dracula Logarithmically concave function Mathematical analysis Mathematical optimization Convex analysis
668	Lecture 20: Convexity and Optimization We say that if f is a once continuously differentiable function on an interval I, and x is a point in the interior of I that x is a critical point of f if f 0 (x) = 0. Critical poin Add to Reading List Source URL: math.caltech.edu Language: English - Date: 2013-11-18 10:34:32 Convex analysis Differential calculus Convex function Concave function First derivative test Continuous function Second derivative test Derivative Mean value theorem Mathematical analysis Mathematics Calculus
669	Journal of Computational and Applied Mathematics[removed]–302 www.elsevier.nl/locate/cam Interior-point methods a Add to Reading List Source URL: www.math.umbc.edu Language: English - Date: 2005-02-22 15:50:33 Operations research Convex optimization Linear programming Combinatorial optimization Interior point method Ellipsoid method Algorithm Quadratic programming Simplex algorithm Mathematical optimization Numerical analysis Mathematics
670	Answers to Econ 210A Midterm, October 2010 Question 1. f (x1 , x2 ) = p Add to Reading List Source URL: www.econ.ucsb.edu Language: English - Date: 2010-11-01 17:36:31 Convex function Quasiconvex function Concave function Hessian matrix PROPT COMPASS/Sample Code Mathematical analysis Mathematical optimization Convex analysis

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