Mathematical optimization | Wikipedia audio article
Channel: wikipedia tts
Date: 11/01/2019

This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/Mathematical_optimization


00:01:01 1 Optimization problems
00:07:58 2 Notation
00:08:15 2.1 Minimum and maximum value of a function
00:10:10 2.2 Optimal input arguments
00:16:54 3 History
00:18:00 4 Major subfields
00:23:56 4.1 Multi-objective optimization
00:25:59 4.2 Multi-modal optimization
00:27:03 5 Classification of critical points and extrema
00:27:15 5.1 Feasibility problem
00:28:10 5.2 Existence
00:28:42 5.3 Necessary conditions for optimality
00:29:49 5.4 Sufficient conditions for optimality
00:30:58 5.5 Sensitivity and continuity of optima
00:31:35 5.6 Calculus of optimization
00:33:06 6 Computational optimization techniques
00:33:39 6.1 Optimization algorithms
00:37:51 6.2 Iterative methods
00:42:51 6.3 Global convergence
00:43:56 6.4 Heuristics
00:44:27 7 Applications
00:44:37 7.1 Mechanics
00:46:06 7.2 Economics and finance
00:48:33 7.3 Electrical engineering
00:49:22 7.4 Civil engineering
00:49:52 7.5 Operations research
00:50:32 7.6 Control engineering
00:51:17 7.7 Geophysics
00:51:46 7.8 Molecular modeling
00:52:02 7.9 Computational systems biology
00:52:56 8 Solvers
00:53:06 9 See also
00:53:15 10 Notes
00:53:24 11 Further reading
00:53:34 11.1 Comprehensive
00:53:43 11.1.1 Undergraduate level
00:55:31 11.1.2 Graduate level
01:00:12 11.2 Continuous optimization
01:03:58 11.3 Combinatorial optimization
01:06:52 11.4 Relaxation (extension method)
01:08:41 12 Journals
01:09:18 13 External links



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SUMMARY
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In mathematics, computer science and operations research, mathematical optimization or mathematical programming, alternatively spelled optimisation, is the selection of a best element (with regard to some criterion) from some set of available alternatives.In the simplest case, an optimization problem consists of maximizing or minimizing a real function by systematically choosing input values from within an allowed set and computing the value of the function. The generalization of optimization theory and techniques to other formulations constitutes a large area of applied mathematics. More generally, optimization includes finding "best available" values of some objective function given a defined domain (or input), including a variety of different types of objective functions and different types of domains.