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Lectures on Modern Convex Optimization: Analysis, Algorithms, and Engineering Applications
Abstract
Mathematical Programming deals with optimization programs of the form minimize f(x) subject to gi(x) ≤ 0, i = 1,...,m, [x ⊂ Rn] (P) and includes the following general areas: 1. Modelling: methodologies for posing various applied problems as optimization programs; 2. Optimization Theory, focusing on existence, uniqueness and on characterization of optimal solutions to optimization programs; 3. Optimization Methods: development and analysis of computational algorithms for various classes of optimization programs; 4. Implementation, testing and application of modelling methodologies and computational algorithms. Essentially, Mathematical Programming was born in 1948, when George Dantzig has invented
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Cited by
A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems
Beck, A., & Teboulle, M. (2009) · SIAM Journal on Imaging Sciences · doi:10.1137/080716542 · Cited by 11,952
A sparse signal reconstruction perspective for source localization with sensor arrays
Malioutov, D., Cetin, M., & Willsky, A. S. (2005) · IEEE Transactions on Signal Processing · doi:10.1109/tsp.2005.850882 · Cited by 2,638
Robust optimization ? methodology and applications
Ben-Tal, A., & Nemirovski, A. (2002) · Mathematical Programming · doi:10.1007/s101070100286 · Cited by 1,409
Self-citationAdjustable robust solutions of uncertain linear programs
Ben-Tal, A., Goryashko, A., Guslitzer, E., & Nemirovski, A. (2004) · Mathematical Programming · doi:10.1007/s10107-003-0454-y · Cited by 1,380
Self-citationTaylan, P., Weber, G.-W., & Beck, A. (2007) · Optimization · doi:10.1080/02331930701618740 · Cited by 83
Metadata
- Authors
- Ben-Tal, A., & Nemirovski, A.
- Venue
- Society for Industrial and Applied Mathematics eBooks
- Published
- 2001-01
- OpenAlex
- W1503221585
- Cited by
- 747
- References
- 0
- FWCI
- 9.49
- Type
- book
- Language
- en
- Open access
- closed
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