Mathematical optimization

It has been shown in Chapter 9 that it is possible to obtain an optimal mathemat-ieal solution for a eontrol system with linear plant dynamies. An alternative approaeh is to use heuristies , or knowledge aequired through experienee, to seareh for optimal solutions. One sueh teehnique is to employ a Genetie Algorithm (GA). 

Gill, P.E. and W. Murray, "Newton-type Methods for Unconstrained and Linearly Constrained Optimization", Mathematical Programming, 7,311-350 (1974). 

Goldfard, D., "Factorized Variable Metric Methods for Unconstrained Optimization", Mathematics of Computation, 30 (136) 796-811 (1976). 

After the feature selection process has been carried out once by the SIMCA method, it is necessary to refine the model because the iK>del may shift slightly. This refining of the model leads to an ( timal set of descriptors with optimal mathematical structure. 

Norkin, W.I., Pflug, G.Ch., and Ruszczysk, A. (1998) A branch and bound method for stochastic global optimization. Mathematical Programming, 83, 425. 

Optimization Mathematical procedures to enable the best selection from a set of many options, for example, in the context of process design, the selection of... 

Klamroth, K., Tind, J. and Wiecek, M. M. (2002). Unbiased approximation in multicriteria optimization, Mathematical Methods of Operations Research 56, pp. 413-437. 

The basic idea of the Karhunen-Loeve Transform (KLT) is that, if the correlation in the image is known, then it is possible to calculate the optimal mathematical basis by using an eigen-decomposition. The optimal basis is defined here as the one that minimises the overall root-mean-square distortion. 

Robinson, S. M. (1996), Analysis of Sample-Path Optimization, Mathematics of Operations Research, Vol. 21, pp. 513—528. 

Brandi, Johanni, and Otter [3] have developed an 0(N) approach which is v similar to that of Featherstone. The method differs only in its use of a more general joint model (allowing multiple-degree-of-fieedom joints) and in the optimization of vector and matrix transformations. Of all the algorithms considered, this one tq>pears to be the most efficient for computing the joint accel tions for an open-chain mechanism. The optimized mathematical transformations are very important, and they may be used in any general application where vector and matrix quantities must be transformed between coordinate frames. 

Optimization, mathematical 1, 489s31 3, 482s31 4, 463s31 8,804s31 13, 291s31 17, 307s31 Organometallic compds. 

Fang, Rajasekera Tsao/ ENTROPY OPTIMIZATION MATHEMATICAL PROGRAMMING... 

Introduction to optimization with the Excel Solver tool http //office.microsoft.com/en-us/excel-help/introduction-to-optimization-with-the-excel-solver-tool-HA001124595.aspx Optimization Definitimi http //www.merriam-webster.coptimization Mathematical Optimization Society http //www.mathopt.org/... 

J. Workman, Near-Infrared Spectroscopy Evaluating the Effects of Known Spectral Changes on Wavelength Selection and Optimal Mathematical Treatment Using Synthetically Generated Data, Eastern Analytical Symposium, New York, 1986, No. 269. 

Powell, M. J. D. (1971). Recent advances in unconstrained optimization. Mathematical Programming, 1, 26. 

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