ALGOP-04-18 April 18,2016 (ft*x) 4 18-15:52 rdij/^ /jíluje /pdfi**- A /IMri***UmL /haf/o. ň + Ř 4 18-16:05 ALGOP-04-18 April 18,2016 4 18-16:13 fiCif) ff* foty "A** $6Nl fUA*k** /»n/r* /u^i^ /jsM»^^ ^ CL AAATT^^/^ /*AYP^ J^Aa 2 4 18-16:17 ALGOP-04-18 April 18, 2016 {MAX- p.,. i yti? f ***** + A Am */) - • f • 4 18-16:30 0 ŕf. 4 18-16:47 ALGOP-04-18 April 18,2016 4 18-17:13 7 X 4 18-17:17 ALGOP-04-25 April 25, 2016 IG, A.A. 4 25-16:00 Id fry -0 flnA. ^=0 => ^. 4 25-16:06 ALGOP-04-25 April 25, 2016 zl 0 9 (C*0) 0 425-16:11 4 25-16:13 2 ALGOP-04-25 April 25, 2016 'tik***- U- 3*JU JU^. : 7 4^». ^PVfc 4 25-16:24 4*4 SM 3.5«"" 3"<"' - 4 25-16:29 ALGOP-04-25 April 25, 2016 c£r /U/ť. á/w** 0 4 25-16:37 4 25-16:44 ALGOP-04-25 April 25, 2016 21 _ 3 4 25-16:52 ^i^: * **** **° 4 25-17:03 ALGOP-04-25 April 25, 2016 ^ j. ^ tf »pW. fofr Ty^7 4 25-17:18 ALGOP-04-25 April 25, 2016 / ****** SO if Q is positively definit| and x # x* 4 25-17:27 /f^jz findr^ ao •••• ^0 4 25-18:01 7 ALGOP-04-25 April 25, 2016 Ik f_ 4 25-18:05 2. /L^AUoU c~f*h»l,M^R] 4 25-18:10 8 ALGOP-04-25 April 25, 2016 'a oJLjfŕfiA***. Vß. *At A*£*i*f 4 25-18:18 X,/v ,>£ 4 25-18:22 ALGOP-04-25 April 25, 2016 & •" /ŕaL A/í fl/uj*«£> /*4€€rA * X^* At t*s#A- / /h/H^i fa) 4 25-18:27 /tó ^f/jüc ^ULi u /jjJA^ A.A. fa \ = £• fjijt irtL JLi+ 4 25-18:31 10 ALGOP-04-25 April 25, 2016 4 25-18:36 4 25-18:40 11 ALGOP-04-25 April 25, 2016 9 *f t/*' fs^*/^* JJU, 4/a j**fr»l ******* I • 1 / 1 4 25-18:43 _ -p •'•rote +aV-aV-i^ + y, at,a 20 Í0 LJ D^JjJ lit- h^fhk ^diA% -f 4 25-18:48 12 ALGOP-05-02+09 May 09, 2016 /n*M r x + A h 5 2-16:06 /w. X|? a* ájkJIA J4d*ud JlrtjÚA 5 2-16:31 1 ALGOP-05-02+09 May 09, 2016 94*, *f a,* gwrU ityMfl"*}? rWl< Mr^ AtA*. ^ jpjU^ 4 5 2-16:34 10*4 /irrx =0 JUk- Assume that no further pivot step observing the exlucion rule is possible. 1. 'fr'ft-v-j) VV"5 5 2-16:39 ALGOP-05-02+09 May 09, 2016 A / ••• z •••• /ur%i/i 5 2-16:44 J* I We are assuming that no further pivot step observing the exclusion rule in problem (*) is possible. Equivalently: the solution x,v,z > 0, u is optimal to this problem (P). V**/ \-f*i "J**1 5 2-16:47 ALGOP-05-02+09 May 09, 2016 j^U*»»: (%^) /lit ítjíshii /r*iU fi (?) á* »0. of ÁÁi/f^A^ jimj, /(,(?). 5 2-16:52 I4" *' í 1 fr) T Ml -o (c) 7- y 4 *7 5 2-17:07 ALGOP-05-02+09 May 09, 2016 5 2-17:15 '---•• k 5 2-17:21 ALGOP-05-02+09 May 09, 2016 5 9-16:14 5 9-16:20 ALGOP-05-02+09 May 09, 2016 5 9-16:28 ^- T ^^^^ Hr- =0 JUOKAASJL S( ď = & 5 9-16:36 7 ALGOP-05-02+09 May 09, 2016 fijud u/U cnst. dw4: Y ft áa f****} ^'if^i *U f far 5 9-16:43 */> tUťK>'ú> /Jvu.'r A^M^ř ± j$ x. ^^^^ r r * <.......-> * m é-TR, K. > ö t\< - £ f 0 "V d, = X / .....M^Äy ^ tyfy i^dJ ^Ziy^^J Aj&rfy f' It U l/c ä 0- i í o- /KS .<*.. = -f. it- «. iWÜL í- + fy ä c? (ri T >í ^ ŕ- = 0 ~ Aľ X . - ^ a . é 0. ... A ^ A7" A A + 'I ^ -G - Jj jZ^ľ x j^vdJkAL /v- Ý^nrr^J^y^y^ Aj^La- ^^i^L^- /^^(ď^ /^^o^4- (r^i^+CG»/ yvCAJl^ _ ni -» lifo* tU/fJLr) ^C* živ*4-1 ^ V £ö 6 0 Ax. ~J/