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Томский Государственный Университет Систем Управления и Радиоэлектроники

Предмет:

Методы оптимизации

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ИДЗ / МО_ИДЗ.odt

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Приложение I

[-1.180339887498949, 1.180339887498949, -2.6393202250021033, -0.2786404500042057, -1.7376207875073608, -0.8359213500126179, -1.3932022500210304, -1.0487837125347, -1.261646075056782, -1.1300899000925335, -1.099033699941115, -1.1492836873475303, -1.1611461002439525, -1.141952312988956, -1.1538147258853784, -1.1566150617061044, -1.152084023168256, -1.154884358988982, -1.1555454286025009, -1.1544757954988973, -1.1551368651124163, -1.1552929224790665, -1.1550404163556318, -1.1549808077457664, -1.1550772565025509, -1.1550176478926855, -1.1550544880396045, -1.1550631848185784, -1.155049113134606, -1.1550578099135798, -1.1550524350085813, -1.155051166165629, -1.1550532191966523, -1.1550537038515336, -1.1550529196634627, -1.155053404318344]

Приложение j

	[-0.0, 0.0, 2.5, 2.5, 1.25, 1.25, 0.62, 0.63, 0.31, 0.31, 0.47, 0.47, 0.39, 0.39, 0.43, 0.43, 0.45, 0.45, 0.44, 0.44, 0.44, 0.44, 0.45, 0.45, 0.45, 0.45, 0.44, 0.44, 0.45, 0.45, 0.45, 0.45, 0.45, 0.45, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44, 0.44]

Приложение K

Iteration 1:
Point 1: x1 = 0.0, x2 = 0.0, f(x1, x2) = 11.0
Point 2: x1 = 5.0, x2 = 5.0, f(x1, x2) = 176.0
Point 3: x1 = 6.25, x2 = 6.25, f(x1, x2) = 303.19

Iteration 2:
Point 1: x1 = 0.0, x2 = 0.0, f(x1, x2) = 11.0
Point 2: x1 = 5.0, x2 = 5.0, f(x1, x2) = 176.0
Point 3: x1 = -1.25, x2 = -1.25, f(x1, x2) = 55.69

Iteration 3:
Point 1: x1 = 0.0, x2 = 0.0, f(x1, x2) = 11.0
Point 2: x1 = -1.25, x2 = -1.25, f(x1, x2) = 55.69
Point 3: x1 = 2.19, x2 = 2.19, f(x1, x2) = 15.51

Iteration 4:
Point 1: x1 = 0.0, x2 = 0.0, f(x1, x2) = 11.0
Point 2: x1 = 2.19, x2 = 2.19, f(x1, x2) = 15.51
Point 3: x1 = -0.08, x2 = -0.08, f(x1, x2) = 12.79

Iteration 5:
Point 1: x1 = 0.0, x2 = 0.0, f(x1, x2) = 11.0
Point 2: x1 = -0.08, x2 = -0.08, f(x1, x2) = 12.79
Point 3: x1 = 1.07, x2 = 1.07, f(x1, x2) = 0.06

Iteration 6:
Point 1: x1 = 1.07, x2 = 1.07, f(x1, x2) = 0.06
Point 2: x1 = 0.0, x2 = 0.0, f(x1, x2) = 11.0
Point 3: x1 = 1.15, x2 = 1.15, f(x1, x2) = 0.26

Iteration 7:
Point 1: x1 = 1.07, x2 = 1.07, f(x1, x2) = 0.06
Point 2: x1 = 1.15, x2 = 1.15, f(x1, x2) = 0.26
Point 3: x1 = 0.56, x2 = 0.56, f(x1, x2) = 2.16

Iteration 8:
Point 1: x1 = 1.07, x2 = 1.07, f(x1, x2) = 0.06
Point 2: x1 = 1.15, x2 = 1.15, f(x1, x2) = 0.26
Point 3: x1 = 0.83, x2 = 0.83, f(x1, x2) = 0.3

Iteration 9:
Point 1: x1 = 1.07, x2 = 1.07, f(x1, x2) = 0.06
Point 2: x1 = 1.15, x2 = 1.15, f(x1, x2) = 0.26
Point 3: x1 = 0.97, x2 = 0.97, f(x1, x2) = 0.01

Iteration 10:
Point 1: x1 = 0.97, x2 = 0.97, f(x1, x2) = 0.01
Point 2: x1 = 1.07, x2 = 1.07, f(x1, x2) = 0.06
Point 3: x1 = 1.09, x2 = 1.09, f(x1, x2) = 0.09

Iteration 11:
Point 1: x1 = 0.97, x2 = 0.97, f(x1, x2) = 0.01
Point 2: x1 = 1.07, x2 = 1.07, f(x1, x2) = 0.06
Point 3: x1 = 0.96, x2 = 0.96, f(x1, x2) = 0.02

Iteration 12:
Point 1: x1 = 0.97, x2 = 0.97, f(x1, x2) = 0.01
Point 2: x1 = 0.96, x2 = 0.96, f(x1, x2) = 0.02
Point 3: x1 = 1.02, x2 = 1.02, f(x1, x2) = 0.0

Iteration 13:
Point 1: x1 = 1.02, x2 = 1.02, f(x1, x2) = 0.0
Point 2: x1 = 0.97, x2 = 0.97, f(x1, x2) = 0.01
Point 3: x1 = 0.98, x2 = 0.98, f(x1, x2) = 0.0

Iteration 14:
Point 1: x1 = 1.02, x2 = 1.02, f(x1, x2) = 0.0
Point 2: x1 = 0.98, x2 = 0.98, f(x1, x2) = 0.0
Point 3: x1 = 0.99, x2 = 0.99, f(x1, x2) = 0.0

Iteration 15:
Point 1: x1 = 0.99, x2 = 0.99, f(x1, x2) = 0.0
Point 2: x1 = 1.02, x2 = 1.02, f(x1, x2) = 0.0
Point 3: x1 = 0.99, x2 = 0.99, f(x1, x2) = 0.0

Iteration 16:
Point 1: x1 = 0.99, x2 = 0.99, f(x1, x2) = 0.0
Point 2: x1 = 0.99, x2 = 0.99, f(x1, x2) = 0.0
Point 3: x1 = 1.0, x2 = 1.0, f(x1, x2) = 0.0

Iteration 17:
Point 1: x1 = 1.0, x2 = 1.0, f(x1, x2) = 0.0
Point 2: x1 = 0.99, x2 = 0.99, f(x1, x2) = 0.0
Point 3: x1 = 0.99, x2 = 0.99, f(x1, x2) = 0.0

Iteration 18:
Point 1: x1 = 1.0, x2 = 1.0, f(x1, x2) = 0.0
Point 2: x1 = 0.99, x2 = 0.99, f(x1, x2) = 0.0
Point 3: x1 = 1.01, x2 = 1.01, f(x1, x2) = 0.0

Iteration 19:
Point 1: x1 = 1.0, x2 = 1.0, f(x1, x2) = 0.0
Point 2: x1 = 1.01, x2 = 1.01, f(x1, x2) = 0.0
Point 3: x1 = 1.0, x2 = 1.0, f(x1, x2) = 0.0

Iteration 20:
Point 1: x1 = 1.0, x2 = 1.0, f(x1, x2) = 0.0
Point 2: x1 = 1.0, x2 = 1.0, f(x1, x2) = 0.0
Point 3: x1 = 1.0, x2 = 1.0, f(x1, x2) = 0.0

Iteration 21:
Point 1: x1 = 1.0, x2 = 1.0, f(x1, x2) = 0.0
Point 2: x1 = 1.0, x2 = 1.0, f(x1, x2) = 0.0
Point 3: x1 = 1.0, x2 = 1.0, f(x1, x2) = 0.0

Iteration 22:
Point 1: x1 = 1.0, x2 = 1.0, f(x1, x2) = 0.0
Point 2: x1 = 1.0, x2 = 1.0, f(x1, x2) = 0.0
Point 3: x1 = 1.0, x2 = 1.0, f(x1, x2) = 0.0

Iteration 23:
Point 1: x1 = 1.0, x2 = 1.0, f(x1, x2) = 0.0
Point 2: x1 = 1.0, x2 = 1.0, f(x1, x2) = 0.0
Point 3: x1 = 1.0, x2 = 1.0, f(x1, x2) = 0.0

Iteration 24:
Point 1: x1 = 1.0, x2 = 1.0, f(x1, x2) = 0.0
Point 2: x1 = 1.0, x2 = 1.0, f(x1, x2) = 0.0
Point 3: x1 = 1.0, x2 = 1.0, f(x1, x2) = 0.0

Iteration 25:
Point 1: x1 = 1.0, x2 = 1.0, f(x1, x2) = 0.0
Point 2: x1 = 1.0, x2 = 1.0, f(x1, x2) = 0.0
Point 3: x1 = 1.0, x2 = 1.0, f(x1, x2) = 0.0

Iteration 26:
Point 1: x1 = 1.0, x2 = 1.0, f(x1, x2) = 0.0
Point 2: x1 = 1.0, x2 = 1.0, f(x1, x2) = 0.0
Point 3: x1 = 1.0, x2 = 1.0, f(x1, x2) = 0.0

Iteration 27:
Point 1: x1 = 1.0, x2 = 1.0, f(x1, x2) = 0.0
Point 2: x1 = 1.0, x2 = 1.0, f(x1, x2) = 0.0
Point 3: x1 = 1.0, x2 = 1.0, f(x1, x2) = 0.0

Iteration 28:
Point 1: x1 = 1.0, x2 = 1.0, f(x1, x2) = 0.0
Point 2: x1 = 1.0, x2 = 1.0, f(x1, x2) = 0.0
Point 3: x1 = 1.0, x2 = 1.0, f(x1, x2) = 0.0

Iteration 29:
Point 1: x1 = 1.0, x2 = 1.0, f(x1, x2) = 0.0
Point 2: x1 = 1.0, x2 = 1.0, f(x1, x2) = 0.0
Point 3: x1 = 1.0, x2 = 1.0, f(x1, x2) = 0.0

Iteration 30:
Point 1: x1 = 1.0, x2 = 1.0, f(x1, x2) = 0.0
Point 2: x1 = 1.0, x2 = 1.0, f(x1, x2) = 0.0
Point 3: x1 = 1.0, x2 = 1.0, f(x1, x2) = 0.0

Iteration 31:
Point 1: x1 = 1.0, x2 = 1.0, f(x1, x2) = 0.0
Point 2: x1 = 1.0, x2 = 1.0, f(x1, x2) = 0.0
Point 3: x1 = 1.0, x2 = 1.0, f(x1, x2) = 0.0

Iteration 32:
Point 1: x1 = 1.0, x2 = 1.0, f(x1, x2) = 0.0
Point 2: x1 = 1.0, x2 = 1.0, f(x1, x2) = 0.0
Point 3: x1 = 1.0, x2 = 1.0, f(x1, x2) = 0.0

Iteration 33:
Point 1: x1 = 1.0, x2 = 1.0, f(x1, x2) = 0.0
Point 2: x1 = 1.0, x2 = 1.0, f(x1, x2) = 0.0
Point 3: x1 = 1.0, x2 = 1.0, f(x1, x2) = 0.0

Iteration 34:
Point 1: x1 = 1.0, x2 = 1.0, f(x1, x2) = 0.0
Point 2: x1 = 1.0, x2 = 1.0, f(x1, x2) = 0.0
Point 3: x1 = 1.0, x2 = 1.0, f(x1, x2) = 0.0

Iteration 35:
Point 1: x1 = 1.0, x2 = 1.0, f(x1, x2) = 0.0
Point 2: x1 = 1.0, x2 = 1.0, f(x1, x2) = 0.0
Point 3: x1 = 1.0, x2 = 1.0, f(x1, x2) = 0.0

Iteration 36:
Point 1: x1 = 1.0, x2 = 1.0, f(x1, x2) = 0.0
Point 2: x1 = 1.0, x2 = 1.0, f(x1, x2) = 0.0
Point 3: x1 = 1.0, x2 = 1.0, f(x1, x2) = 0.0

Iteration 37:
Point 1: x1 = 1.0, x2 = 1.0, f(x1, x2) = 0.0
Point 2: x1 = 1.0, x2 = 1.0, f(x1, x2) = 0.0
Point 3: x1 = 1.0, x2 = 1.0, f(x1, x2) = 0.0

Приложение L

Iteration 1: x = [0.83302206 2.18738327]

Iteration 2: x = [1.20239664 1.20239715]
Iteration 3: x = [0.98310211 1.1201615 ]
Iteration 4: x = [1.0204822 1.0204823]
Iteration 5: x = [0.99828996 1.01216017]
Iteration 6: x = [1.00207276 1.00207278]
Iteration 7: x = [0.99982695 1.00123059]
Iteration 8: x = [1.00020976 1.00020976]
Iteration 9: x = [0.99998249 1.00012453]
Iteration 10: x = [1.00002123 1.00002123]
Iteration 11: x = [0.99999823 1.0000126 ]
Iteration 12: x = [1.00000215 1.00000215]
Iteration 13: x = [0.99999982 1.00000128]
Iteration 14: x = [1.00000022 1.00000022]
Iteration 15: x = [0.99999998 1.00000013]

Приложение M

Iteration 1:

Point 1: x1 = 5.0, x2 = 5.0, f(x1, x2) = 505.5

Point 2: x1 = 0.0, x2 = 0.0, f(x1, x2) = 1115.5

Point 3: x1 = -5.0, x2 = 15.0, f(x1, x2) = 785.5

Iteration 2:

Point 1: x1 = 5.0, x2 = 5.0, f(x1, x2) = 505.5

Point 2: x1 = -5.0, x2 = 15.0, f(x1, x2) = 785.5

Point 3: x1 = 0.0, x2 = 5.0, f(x1, x2) = 80.5

Iteration 3:

Point 1: x1 = 0.0, x2 = 5.0, f(x1, x2) = 80.5

Point 2: x1 = 5.0, x2 = 5.0, f(x1, x2) = 505.5

Point 3: x1 = 10.0, x2 = -5.0, f(x1, x2) = 100.5

Iteration 4:

Point 1: x1 = 0.0, x2 = 5.0, f(x1, x2) = 80.5

Point 2: x1 = 10.0, x2 = -5.0, f(x1, x2) = 100.5

Point 3: x1 = 5.0, x2 = 2.5, f(x1, x2) = 79.25

Iteration 5:

Point 1: x1 = 5.0, x2 = 2.5, f(x1, x2) = 79.25

Point 2: x1 = 0.0, x2 = 5.0, f(x1, x2) = 80.5

Point 3: x1 = 6.25, x2 = -0.62, f(x1, x2) = 17.92

Iteration 6:

Point 1: x1 = 6.25, x2 = -0.62, f(x1, x2) = 17.92

Point 2: x1 = 5.0, x2 = 2.5, f(x1, x2) = 79.25

Point 3: x1 = 2.81, x2 = 2.97, f(x1, x2) = 19.6

Iteration 7:

Point 1: x1 = 6.25, x2 = -0.62, f(x1, x2) = 17.92

Point 2: x1 = 2.81, x2 = 2.97, f(x1, x2) = 19.6

Point 3: x1 = 4.77, x2 = 1.84, f(x1, x2) = 21.11

Iteration 8:

Point 1: x1 = 6.25, x2 = -0.62, f(x1, x2) = 17.92

Point 2: x1 = 2.81, x2 = 2.97, f(x1, x2) = 19.6

Point 3: x1 = 4.65, x2 = 1.5, f(x1, x2) = 10.57

Iteration 9:

Point 1: x1 = 4.65, x2 = 1.5, f(x1, x2) = 10.57

Point 2: x1 = 6.25, x2 = -0.62, f(x1, x2) = 17.92

Point 3: x1 = 4.13, x2 = 1.7, f(x1, x2) = 11.57

Iteration 10:

Point 1: x1 = 4.65, x2 = 1.5, f(x1, x2) = 10.57

Point 2: x1 = 4.13, x2 = 1.7, f(x1, x2) = 11.57

Point 3: x1 = 5.32, x2 = 0.49, f(x1, x2) = 10.95

Iteration 11:

Point 1: x1 = 4.65, x2 = 1.5, f(x1, x2) = 10.57

Point 2: x1 = 5.32, x2 = 0.49, f(x1, x2) = 10.95

Point 3: x1 = 4.56, x2 = 1.35, f(x1, x2) = 10.07

Iteration 12:

Point 1: x1 = 4.56, x2 = 1.35, f(x1, x2) = 10.07

Point 2: x1 = 4.65, x2 = 1.5, f(x1, x2) = 10.57

Point 3: x1 = 4.96, x2 = 0.96, f(x1, x2) = 9.7

Iteration 13:

Point 1: x1 = 4.96, x2 = 0.96, f(x1, x2) = 9.7

Point 2: x1 = 4.56, x2 = 1.35, f(x1, x2) = 10.07

Point 3: x1 = 4.7, x2 = 1.33, f(x1, x2) = 9.73

Iteration 14:

Point 1: x1 = 4.96, x2 = 0.96, f(x1, x2) = 9.7

Point 2: x1 = 4.7, x2 = 1.33, f(x1, x2) = 9.73

Point 3: x1 = 5.11, x2 = 0.94, f(x1, x2) = 9.58

Iteration 15:

Point 1: x1 = 5.11, x2 = 0.94, f(x1, x2) = 9.58

Point 2: x1 = 4.96, x2 = 0.96, f(x1, x2) = 9.7

Point 3: x1 = 4.87, x2 = 1.14, f(x1, x2) = 9.54

Iteration 16:

Point 1: x1 = 4.87, x2 = 1.14, f(x1, x2) = 9.54

Point 2: x1 = 5.11, x2 = 0.94, f(x1, x2) = 9.58

Point 3: x1 = 4.97, x2 = 1.0, f(x1, x2) = 9.52

Iteration 17:

Point 1: x1 = 4.97, x2 = 1.0, f(x1, x2) = 9.52

Point 2: x1 = 4.87, x2 = 1.14, f(x1, x2) = 9.54

Point 3: x1 = 5.01, x2 = 1.0, f(x1, x2) = 9.51

Iteration 18:

Point 1: x1 = 5.01, x2 = 1.0, f(x1, x2) = 9.51

Point 2: x1 = 4.97, x2 = 1.0, f(x1, x2) = 9.52

Point 3: x1 = 4.93, x2 = 1.07, f(x1, x2) = 9.51

Iteration 19:

Point 1: x1 = 4.93, x2 = 1.07, f(x1, x2) = 9.51

Point 2: x1 = 5.01, x2 = 1.0, f(x1, x2) = 9.51

Point 3: x1 = 4.97, x2 = 1.02, f(x1, x2) = 9.5

Iteration 20:

Point 1: x1 = 4.97, x2 = 1.02, f(x1, x2) = 9.5

Point 2: x1 = 4.93, x2 = 1.07, f(x1, x2) = 9.51

Point 3: x1 = 4.98, x2 = 1.02, f(x1, x2) = 9.5

Iteration 21:

Point 1: x1 = 4.98, x2 = 1.02, f(x1, x2) = 9.5

Point 2: x1 = 4.97, x2 = 1.02, f(x1, x2) = 9.5

Point 3: x1 = 5.03, x2 = 0.97, f(x1, x2) = 9.5

Iteration 22:

Point 1: x1 = 5.03, x2 = 0.97, f(x1, x2) = 9.5

Point 2: x1 = 4.98, x2 = 1.02, f(x1, x2) = 9.5

Point 3: x1 = 4.99, x2 = 1.01, f(x1, x2) = 9.5

Iteration 23:

Point 1: x1 = 4.99, x2 = 1.01, f(x1, x2) = 9.5

Point 2: x1 = 5.03, x2 = 0.97, f(x1, x2) = 9.5

Point 3: x1 = 5.0, x2 = 1.01, f(x1, x2) = 9.5

Iteration 24:

Point 1: x1 = 5.0, x2 = 1.01, f(x1, x2) = 9.5

Point 2: x1 = 4.99, x2 = 1.01, f(x1, x2) = 9.5

Point 3: x1 = 5.01, x2 = 0.99, f(x1, x2) = 9.5

Iteration 25:

Point 1: x1 = 5.0, x2 = 1.01, f(x1, x2) = 9.5

Point 2: x1 = 5.01, x2 = 0.99, f(x1, x2) = 9.5