%PDF-1.4
%
4 0 obj
<< /S /GoTo /D (chapter.1) >>
endobj
7 0 obj
(Introduction)
endobj
8 0 obj
<< /S /GoTo /D (section.1.1) >>
endobj
11 0 obj
(Overview)
endobj
12 0 obj
<< /S /GoTo /D (section.1.2) >>
endobj
15 0 obj
(How to use the Toolbox)
endobj
16 0 obj
<< /S /GoTo /D (section.1.3) >>
endobj
19 0 obj
(An example)
endobj
20 0 obj
<< /S /GoTo /D (section.1.4) >>
endobj
23 0 obj
(Help, demonstrations and unit tests)
endobj
24 0 obj
<< /S /GoTo /D (chapter.2) >>
endobj
27 0 obj
(Simplex theory)
endobj
28 0 obj
<< /S /GoTo /D (section.2.1) >>
endobj
31 0 obj
(The simplex)
endobj
32 0 obj
<< /S /GoTo /D (section.2.2) >>
endobj
35 0 obj
(The size of the complex)
endobj
36 0 obj
<< /S /GoTo /D (section.2.3) >>
endobj
39 0 obj
(The initial simplex)
endobj
40 0 obj
<< /S /GoTo /D (subsection.2.3.1) >>
endobj
43 0 obj
(Importance of the initial simplex)
endobj
44 0 obj
<< /S /GoTo /D (subsection.2.3.2) >>
endobj
47 0 obj
(Spendley's et al regular simplex)
endobj
48 0 obj
<< /S /GoTo /D (subsection.2.3.3) >>
endobj
51 0 obj
(Axis-by-axis simplex)
endobj
52 0 obj
<< /S /GoTo /D (subsection.2.3.4) >>
endobj
55 0 obj
(Randomized bounds)
endobj
56 0 obj
<< /S /GoTo /D (subsection.2.3.5) >>
endobj
59 0 obj
(Pfeffer's method)
endobj
60 0 obj
<< /S /GoTo /D (section.2.4) >>
endobj
63 0 obj
(The simplex gradient)
endobj
64 0 obj
<< /S /GoTo /D (subsection.2.4.1) >>
endobj
67 0 obj
(Matrix of simplex directions)
endobj
68 0 obj
<< /S /GoTo /D (subsection.2.4.2) >>
endobj
71 0 obj
(Taylor's formula)
endobj
72 0 obj
<< /S /GoTo /D (subsection.2.4.3) >>
endobj
75 0 obj
(Forward difference simplex gradient)
endobj
76 0 obj
<< /S /GoTo /D (section.2.5) >>
endobj
79 0 obj
(References and notes)
endobj
80 0 obj
<< /S /GoTo /D (chapter.3) >>
endobj
83 0 obj
(Spendley's et al. method)
endobj
84 0 obj
<< /S /GoTo /D (section.3.1) >>
endobj
87 0 obj
(Introduction)
endobj
88 0 obj
<< /S /GoTo /D (subsection.3.1.1) >>
endobj
91 0 obj
(Overview)
endobj
92 0 obj
<< /S /GoTo /D (subsection.3.1.2) >>
endobj
95 0 obj
(Algorithm)
endobj
96 0 obj
<< /S /GoTo /D (subsection.3.1.3) >>
endobj
99 0 obj
(Geometric analysis)
endobj
100 0 obj
<< /S /GoTo /D (subsection.3.1.4) >>
endobj
103 0 obj
(General features of the algorithm)
endobj
104 0 obj
<< /S /GoTo /D (section.3.2) >>
endobj
107 0 obj
(Numerical experiments)
endobj
108 0 obj
<< /S /GoTo /D (subsection.3.2.1) >>
endobj
111 0 obj
(Quadratic function)
endobj
112 0 obj
<< /S /GoTo /D (subsection.3.2.2) >>
endobj
115 0 obj
(Badly scaled quadratic function)
endobj
116 0 obj
<< /S /GoTo /D (subsection.3.2.3) >>
endobj
119 0 obj
(Sensitivity to dimension)
endobj
120 0 obj
<< /S /GoTo /D (section.3.3) >>
endobj
123 0 obj
(Conclusion)
endobj
124 0 obj
<< /S /GoTo /D (chapter.4) >>
endobj
127 0 obj
(Nelder-Mead method)
endobj
128 0 obj
<< /S /GoTo /D (section.4.1) >>
endobj
131 0 obj
(Introduction)
endobj
132 0 obj
<< /S /GoTo /D (subsection.4.1.1) >>
endobj
135 0 obj
(Overview)
endobj
136 0 obj
<< /S /GoTo /D (subsection.4.1.2) >>
endobj
139 0 obj
(Algorithm)
endobj
140 0 obj
<< /S /GoTo /D (section.4.2) >>
endobj
143 0 obj
(Geometric analysis)
endobj
144 0 obj
<< /S /GoTo /D (section.4.3) >>
endobj
147 0 obj
(Convergence properties on a quadratic)
endobj
148 0 obj
<< /S /GoTo /D (subsection.4.3.1) >>
endobj
151 0 obj
(With default parameters)
endobj
152 0 obj
<< /S /GoTo /D (subsection.4.3.2) >>
endobj
155 0 obj
(With variable parameters)
endobj
156 0 obj
<< /S /GoTo /D (section.4.4) >>
endobj
159 0 obj
(Numerical experiments)
endobj
160 0 obj
<< /S /GoTo /D (subsection.4.4.1) >>
endobj
163 0 obj
(Quadratic function)
endobj
164 0 obj
<< /S /GoTo /D (subsection.4.4.2) >>
endobj
167 0 obj
(Sensitivity to dimension)
endobj
168 0 obj
<< /S /GoTo /D (subsection.4.4.3) >>
endobj
171 0 obj
(O'Neill test cases)
endobj
172 0 obj
<< /S /GoTo /D (subsection.4.4.4) >>
endobj
175 0 obj
(Convergence to a non stationnary point)
endobj
176 0 obj
<< /S /GoTo /D (subsection.4.4.5) >>
endobj
179 0 obj
(Han counter examples)
endobj
180 0 obj
<< /S /GoTo /D (subsection.4.4.6) >>
endobj
183 0 obj
(Torczon's numerical experiments)
endobj
184 0 obj
<< /S /GoTo /D (section.4.5) >>
endobj
187 0 obj
(Conclusion)
endobj
188 0 obj
<< /S /GoTo /D (chapter.5) >>
endobj
191 0 obj
(The fminsearch function)
endobj
192 0 obj
<< /S /GoTo /D (section.5.1) >>
endobj
195 0 obj
(fminsearch's algorithm)
endobj
196 0 obj
<< /S /GoTo /D (subsection.5.1.1) >>
endobj
199 0 obj
(The algorithm)
endobj
200 0 obj
<< /S /GoTo /D (subsection.5.1.2) >>
endobj
203 0 obj
(The initial simplex)
endobj
204 0 obj
<< /S /GoTo /D (subsection.5.1.3) >>
endobj
207 0 obj
(The number of iterations)
endobj
208 0 obj
<< /S /GoTo /D (subsection.5.1.4) >>
endobj
211 0 obj
(The termination criteria)
endobj
212 0 obj
<< /S /GoTo /D (section.5.2) >>
endobj
215 0 obj
(Numerical experiments)
endobj
216 0 obj
<< /S /GoTo /D (subsection.5.2.1) >>
endobj
219 0 obj
(Algorithm and numerical precision)
endobj
220 0 obj
<< /S /GoTo /D (subsection.5.2.2) >>
endobj
223 0 obj
(Output and plot functions)
endobj
224 0 obj
<< /S /GoTo /D (subsection.5.2.3) >>
endobj
227 0 obj
(Predefined plot functions)
endobj
228 0 obj
<< /S /GoTo /D (section.5.3) >>
endobj
231 0 obj
(Conclusion)
endobj
232 0 obj
<< /S /GoTo /D (chapter.6) >>
endobj
235 0 obj
(Conclusion)
endobj
236 0 obj
<< /S /GoTo /D (chapter.7) >>
endobj
239 0 obj
(Acknowledgments)
endobj
240 0 obj
<< /S /GoTo /D (appendix.A) >>
endobj
243 0 obj
(Nelder-Mead bibliography)
endobj
244 0 obj
<< /S /GoTo /D (section.A.1) >>
endobj
247 0 obj
(Spendley, Hext, Himsworth, 1962)
endobj
248 0 obj
<< /S /GoTo /D (section.A.2) >>
endobj
251 0 obj
(Nelder, Mead, 1965)
endobj
252 0 obj
<< /S /GoTo /D (section.A.3) >>
endobj
255 0 obj
(Box, 1965)
endobj
256 0 obj
<< /S /GoTo /D (section.A.4) >>
endobj
259 0 obj
(Guin, 1968)
endobj
260 0 obj
<< /S /GoTo /D (section.A.5) >>
endobj
263 0 obj
(O'Neill, 1971)
endobj
264 0 obj
<< /S /GoTo /D (section.A.6) >>
endobj
267 0 obj
(Parkinson and Hutchinson, 1972)
endobj
268 0 obj
<< /S /GoTo /D (section.A.7) >>
endobj
271 0 obj
(Richardson and Kuester, 1973)
endobj
272 0 obj
<< /S /GoTo /D (section.A.8) >>
endobj
275 0 obj
(Shere, 1973)
endobj
276 0 obj
<< /S /GoTo /D (section.A.9) >>
endobj
279 0 obj
(Routh, Swartz, Denton, 1977)
endobj
280 0 obj
<< /S /GoTo /D (section.A.10) >>
endobj
283 0 obj
(Van Der Wiel, 1980)
endobj
284 0 obj
<< /S /GoTo /D (section.A.11) >>
endobj
287 0 obj
(Walters, Parker, Morgan and Deming, 1991)
endobj
288 0 obj
<< /S /GoTo /D (section.A.12) >>
endobj
291 0 obj
(Subrahmanyam, 1989)
endobj
292 0 obj
<< /S /GoTo /D (section.A.13) >>
endobj
295 0 obj
(Numerical Recipes in C, 1992)
endobj
296 0 obj
<< /S /GoTo /D (section.A.14) >>
endobj
299 0 obj
(Lagarias, Reeds, Wright, Wright, 1998)
endobj
300 0 obj
<< /S /GoTo /D (section.A.15) >>
endobj
303 0 obj
(Mc Kinnon, 1998)
endobj
304 0 obj
<< /S /GoTo /D (section.A.16) >>
endobj
307 0 obj
(Kelley, 1999)
endobj
308 0 obj
<< /S /GoTo /D (section.A.17) >>
endobj
311 0 obj
(Han, 2000)
endobj
312 0 obj
<< /S /GoTo /D (section.A.18) >>
endobj
315 0 obj
(Nazareth, Tseng, 2001)
endobj
316 0 obj
<< /S /GoTo /D (section.A.19) >>
endobj
319 0 obj
(Perry, Perry, 2001)
endobj
320 0 obj
<< /S /GoTo /D (section.A.20) >>
endobj
323 0 obj
(Andersson, 2001)
endobj
324 0 obj
<< /S /GoTo /D (section.A.21) >>
endobj
327 0 obj
(Peters, Bolte, Marschner, N\374ssen and Laur, 2002)
endobj
328 0 obj
<< /S /GoTo /D (section.A.22) >>
endobj
331 0 obj
(Han, Neumann, 2006)
endobj
332 0 obj
<< /S /GoTo /D (section.A.23) >>
endobj
335 0 obj
(Singer, Nelder, 2008)
endobj
336 0 obj
<< /S /GoTo /D (appendix.B) >>
endobj
339 0 obj
(Implementations of the Nelder-Mead algorithm)
endobj
340 0 obj
<< /S /GoTo /D (section.B.1) >>
endobj
343 0 obj
(Matlab : fminsearch)
endobj
344 0 obj
<< /S /GoTo /D (section.B.2) >>
endobj
347 0 obj
(Kelley and the Nelder-Mead algorithm)
endobj
348 0 obj
<< /S /GoTo /D (section.B.3) >>
endobj
351 0 obj
(Nelder-Mead Scilab Toolbox : Lolimot)
endobj
352 0 obj
<< /S /GoTo /D (section.B.4) >>
endobj
355 0 obj
(Numerical Recipes)
endobj
356 0 obj
<< /S /GoTo /D (section.B.5) >>
endobj
359 0 obj
(NASHLIB : A19)
endobj
360 0 obj
<< /S /GoTo /D (section.B.6) >>
endobj
363 0 obj
(O'Neill implementations)
endobj
364 0 obj
<< /S /GoTo /D (section.B.7) >>
endobj
367 0 obj
(Burkardt implementations)
endobj
368 0 obj
<< /S /GoTo /D (section.B.8) >>
endobj
371 0 obj
(NAG Fortran implementation)
endobj
372 0 obj
<< /S /GoTo /D (section.B.9) >>
endobj
375 0 obj
(GSL implementation)
endobj
376 0 obj
<< /S /GoTo /D (section.B.9) >>
endobj
378 0 obj
(Bibliography)
endobj
379 0 obj
<< /S /GoTo /D [380 0 R /Fit ] >>
endobj
383 0 obj <<
/Length 1523
/Filter /FlateDecode
>>
stream
xڍWI6WV" $-R`RqCۃ#;LY{_[)LXmdl<y4'&dI髬eϾY"iy浥7 &y߂)"wɢ)3_Y$$>k3_$&ON]f2MS.&ojr ubyn9{S$eU]dMVXx[ddy~t8-/ɢ7Y]Lv{拢r I >,#ƕ+̖5&TYeYSVw \ݹĸp}.s+Rzj fJsQeE1+_ڀpU-w;p E!_OHMCTI=n@nd䓄=0!Y5\
|