Simplex procedure

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The simplex procedure is described by J. A. Nelder and R. Mead in the paper:

A simple method for function minimization, The Computer Journal 7, 308-313 (1965).

It is a nonlinear regression method which requires only the evaluation of the function. No derivatives have to be computed.

The following software books describe the Simplex procedure in details:

  1. D. H. Besset
    "Object-oriented implementation of numerical methods. An introduction with Java and Smalltalk", page 558, Morgan Kaufmann, San Francisco (2001).
  2. N. C. Shammas
    "Mathematical algorithms in Visual Basic for scientists and engineers", page 118, McGraw-Hill, New York (1996).
  3. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannnery
    "Numerical recipes in C. The art of scientific computing", 2nd edn., page 408, Cambridge University Press, Cambridge (1992).
  4. K. Ebert, H. Ederer, and T. L. Isenhour
    "Computer applications in chemistry. An introduction for PC users", page 387, VCH, New York (1989).

Application

Computerized shimming with the Simplex algorithm (PDF2 file, 334 k) (PDF1 file, 364 k) by William E. Hull.

Solid-state NMR bibliography for:

Aluminum-27
Antimony-121/123
Arsenic-75
Barium-135/137
Beryllium-9
Bismuth-209
Boron-11
Bromine-79/81
Calcium-43
Cesium-133
Chlorine-35/37
Chromium-53
Cobalt-59
Copper-63/65
Deuterium-2
Gallium-69/71
Germanium-73
Gold-197
Hafnium-177/179
Indium-113/115
Iodine-127
Iridium-191/193
Krypton-83
Lanthanum-139
Lithium-7
Magnesium-25
Manganese-55
Mercury-201
Molybdenum-95/97
Neon-21
Nickel-61
Niobium-93
Nitrogen-14
Osmium-189
Oxygen-17
Palladium-105
Potassium-39/41
Rhenium-185/187
Rubidium-85/87
Ruthenium-99/101
Scandium-45
Sodium-23
Strontium-87
Sulfur-33
Tantalum-181
Titanium-47/49
Vanadium-51
Xenon-131
Zinc-67
Zirconium-91
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