1df3771a-5413-462d-9935-30e77090e5f4 10 4 5 decimal

&[DATE] &[TIME] - &[FILENAME]

References:

http://www2.imm.dtu.dk/pubdb/views/edoc_download.php/3215/pdf/imm3215.pdf

http://www2.imm.dtu.dk/pubdb/views/publication_details.php?id=3215

http://www.brnt.eu/phd/node10.html

golden section search algorithm. 1 F a b ε maxIter target GoldenSectionSearch.maxmin_ref φ 15 sqrt + 2 / : a b > x.lw b : x.up a : 21 line x.lw a : x.up b : 21 line if i 0 : d 2 φ - (x.up x.lw - (* : x.1 x.lw d + : x.2 x.up d - : f.x1 x.1 F : f.x2 x.2 F : i maxIter < x.up x.lw - abs ε ≤ break x.1 F x.2 F > (target min ≡ (& (x.1 F x.2 F < (target max ≡ (& | x.lw x.1 : x.1 x.2 : f.x1 f.x2 : x.2 x.up 2 φ - (x.up x.lw - (* - : f.x2 x.2 F : 51 line x.up x.2 : x.2 x.1 : f.x2 f.x1 : x.1 x.lw 2 φ - (x.up x.lw - (* + : f.x1 x.1 F : 51 line if i i 1 + : 21 line if 11 line while x.up x.lw + 2 / i 11 mat 21 mat 101 line :

x f e x^2 x * - :

x f x f 0.691 0.691 f . 20 red 1 5 mat 0 2 0 1 - 2 2 mat 1 2 1 1 - 2 2 mat 4 1 sys x f 0.0041 0.0041 f . 20 red 1 5 mat 0 2 0 1 - 2 2 mat 1 2 1 1 - 2 2 mat 4 1 sys

x# f 01102 -^20 min GoldenSectionSearch.maxmin_ref 0.691 1011 mat 21 mat

x# f 01102 -^GoldenSectionSearch.min 0.691

x# f 01102 -^20 max GoldenSectionSearch.maxmin_ref 0.0041 1011 mat 21 mat

x# f 01102 -^GoldenSectionSearch.max 0.0041

x g x x sin + :

x g

x# g 01 0.01 20 min GoldenSectionSearch.maxmin_ref 0.0041 1011 mat 21 mat

x# g 01 0.01 GoldenSectionSearch.min 0.0041

x# g 01 0.01 20 min GoldenSectionSearch.maxmin_ref 0.0041 1011 mat 21 mat

x# g 01 0.01 GoldenSectionSearch.max 0.9959