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Iteraciones del valor AB, Apuntes de Econometría

Tiene un contenido de 2 hojas de excel que ayuda con las iteraciones

Tipo: Apuntes

2024/2025

Subido el 17/06/2026

paula-jones-5
paula-jones-5 🇪🇨

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Matriz
3 -2 4 3 0
1 2 -3 -3 3
-2 2 3 4 -12
3 2 -2 5 -4
FORMULA SOR 0.55
NITERACIONES
ERROR ABSOLUTO
X Y Z F X Y
10 0 0 0
20.0000 0.8250 -3.7538 -1.4473 0.0000 0.8250
33.8513 -4.1537 1.0056 -1.2272 3.8513 4.9787
40.1475 -1.2675 -0.7193 -0.9203 3.7038 2.8862
50.6353 -1.2728 -1.5619 -1.1274 0.4878 0.0053
61.5847 -2.4022 -0.5699 -1.0672 0.9494 1.1294
70.8372 -1.8368 -0.9119 -0.9930 0.7475 0.5654
80.9181 -1.8256 -1.1090 -1.0322 0.0809 0.0113
91.1247 -2.0723 -0.9053 -1.0189 0.2067 0.2467
10 0.9706 -1.9619 -0.9737 -1.0014 0.1542 0.1104
𝑥_𝑖^𝑛𝑒𝑤=(1−𝜔) 𝑥_𝑖^𝑜𝑙𝑑+𝜔/𝑎_𝑖𝑖 (𝑏_𝑖−∑8_(𝑗<𝑖)▒ 〖𝑎 _𝑖𝑖
𝑥_𝑗^𝑛𝑒𝑤 〗−∑ 8_(𝑗>𝑖)▒𝑎_𝑖𝑖 𝑥_𝑗^𝑜𝑙𝑑 )
𝜔=
pf3
pf4
pf5
pf8
pf9
pfa
pfd
pfe
pff
pf12
pf13
pf14
pf15
pf16
pf17
pf18
pf19
pf1a
pf1b
pf1c
pf1d
pf1e
pf1f

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Matriz 3 -2 4 3 0 1 2 -3 -3 3 -2 2 3 4 - 3 2 -2 5 - FORMULA SOR 0. N

ITERACIONES ERROR ABSOLUTO

X Y Z F X Y

𝑥𝑖^𝑛𝑒𝑤=(1−𝜔) 𝑥𝑖^𝑜𝑙𝑑+𝜔/𝑎𝑖𝑖 (𝑏𝑖−∑8_(𝑗<𝑖)▒ 〖𝑎 _𝑖𝑖

𝑥𝑗^𝑛𝑒𝑤 〗−∑ 8(𝑗>𝑖)▒𝑎𝑖𝑖 𝑥𝑗^𝑜𝑙𝑑 )

𝜔=

RROR ABSOLUTO

MATRIZ NUEVA

ERROR ABSOLUTO

Z F

MATRIZ NUEVA

ERROR ABSOLUTO

Z F

RROR ABSOLUTO

Matriz 3 3 -1 -2 1 -4 4 -3 3 - -5 -5 5 -4 - 2 5 1 -3 - N

ITERACIONES ERROR ABSOLUTO

X Y Z F X Y

Matriz 6 3 5 -5 25 0 -4 3 -5 - 4 0 6 6 64 -5 -4 4 0 - FORMULA SOR 0. N

ITERACIONES ERROR ABSOLUTO

X1 X2 X3 X4 X1 X

𝑥𝑖^𝑛𝑒𝑤=(1−𝜔) 𝑥𝑖^𝑜𝑙𝑑+𝜔/𝑎𝑖𝑖 (𝑏𝑖−∑8_(𝑗<𝑖)▒ 〖𝑎 _𝑖𝑖

𝑥𝑗^𝑛𝑒𝑤 〗−∑ 8(𝑗>𝑖)▒𝑎𝑖𝑖 𝑥𝑗^𝑜𝑙𝑑 )

𝜔=

Matriz N

𝑥𝑖^𝑛𝑒𝑤=(1−𝜔) 𝑥𝑖^𝑜𝑙𝑑+𝜔/𝑎𝑖𝑖 (𝑏𝑖−∑8_(𝑗<𝑖)▒ 〖𝑎 _𝑖𝑖

𝑥𝑗^𝑛𝑒𝑤 〗−∑ 8(𝑗>𝑖)▒𝑎𝑖𝑖 𝑥𝑗^𝑜𝑙𝑑 )

  • 3.7538 1. Z F
  • 4.7594 0.
  • 1.7250 0.
  • 0.8426 0.
  • 0.9920 0.
  • 0.3419 0.
  • 0.1971 0.
  • 0.2037 0.
  • 0.0684 0.
  • 3 -2 3 -4
  • 4 -2 -2 -3
  • 2 2 -5 4 -
  • 1 -1 1 -3
  • 2 7.3333 6.1667 7.2000 -1.2111 6.3333 8.
  • 3 2.6296 -8.6241 -1.5667 -0.7710 1.6296 6.
  • 4 2.1226 -1.5316 1.4196 -2.3087 1.1226 0.
  • 5 1.8144 -2.8278 -0.4524 -2.6034 0.8144 0.
  • 6 2.4293 0.7160 0.9754 -3.1038 1.4293 2.
  • 7 2.6969 0.5741 0.6254 -3.0839 1.6969 2.
  • 8 2.9788 1.4581 1.1076 -3.1239 1.9788 3.
  • 9 3.0326 1.1434 0.9713 -3.0465 2.0326 3.
  • 10 3.0623 1.2231 1.0770 -3.0280 2.0623 3.
  • 11 3.0345 1.0340 1.0051 -2.9981 2.0345 3.
  • 12 3.0201 1.0324 1.0225 -2.9966 2.0201 3.
  • 13 3.0036 0.9797 0.9961 -2.9933 2.0036 2.
  • 0.2111 0. Z F
  • 0.2290 0.
  • 1.3087 1.
  • 1.6034 1.
  • 2.1038 2.
  • 2.0839 2.
  • 2.1239 2.
  • 2.0465 2.
  • 2.0280 2.
  • 1.9981 1.
  • 1.9966 1.
  • 1.9933 1.
  • 7 3 -1 -
  • -4 11 -3
  • -5 -5 15 -
  • 2 5 1 -
  • 3.0446 3. Z F
  • 2.7046 2.
  • 3.0157 3.
  • 2.9804 2.
  • 3.0030 3.
  • 2.9986 2.
  • 3.0003 3.
  • 2.9999 2.
  • 3.0000 3.
  • X3 X
  • 0.0080 5.
  • 0.8132 1.
  • 0.6196 0.
  • 0.4704 0.
  • 0.2794 0.
  • 0.0571 0.
  • 0.1046 0.
  • 0.1496 0.
  • 0.0958 0.
  • 0.0071 0.
  • 2 0 -3 -2
  • -6 -6 -4
  • 1 -5 -3 -5 -
  • FORMULA SOR 0.
  • X1 X2 X3 X4 X1 X ITERACIONES ERROR ABSOLUTO
  • 2 9.5000 3.7500 -16.6875 15.0156 9.5000 3.
  • 3 -0.9609 2.0773 -4.6693 8.2793 10.4609 1.
  • 4 -3.9235 0.7074 -0.4631 0.2753 2.9626 1.
  • 5 5.8199 3.7370 -13.9428 11.2546 9.7434 3.
  • 6 0.1282 3.2368 -7.8042 9.2946 5.6917 0.
  • 7 -4.6657 1.6458 -1.4163 1.1267 4.7939 1.
  • 8 2.7789 3.7624 -11.5191 8.3421 7.4445 2.
  • 9 0.4895 4.0148 -9.6312 9.3892 2.2894 0.
  • 10 -4.7449 2.5277 -2.8608 2.2178 5.2344 1.
  • 11 0.3425 3.8474 -9.6595 6.2748 5.0874 1.
  • 12 0.3000 4.5142 -10.4843 8.9006 0.0425 0.
  • 13 -4.5021 3.3019 -4.4165 3.2617 4.8021 1.
  • 14 -1.4817 3.9969 -8.3984 4.9388 3.0204 0.
  • 15 -0.2429 4.8243 -10.6812 8.1088 1.2388 0.
  • 16 -4.1642 3.9456 -5.8450 4.1060 3.9214 0.
  • 17 -2.7603 4.1973 -7.6707 4.1759 1.4040 0.
  • 18 -0.9665 5.0152 -10.4900 7.2222 1.7938 0.
  • 19 -3.8647 4.4570 -7.0226 4.6957 2.8982 0.
  • 20 -3.5959 4.4278 -7.3634 3.8225 0.2687 0.
  • 21 -1.7379 5.1379 -10.1149 6.3785 1.8581 0.
  • 22 -3.6666 4.8475 -7.9093 5.0379 1.9287 0.
  • 23 -4.0997 4.6676 -7.3521 3.7332 0.4331 0.
  • 24 -2.4666 5.2262 -9.6959 5.6552 1.6332 0.
  • 25 -3.5857 5.1357 -8.5190 5.1740 1.1191 0.
  • 26 -4.3741 4.8991 -7.5228 3.7921 0.7884 0.
  • 27 -3.1002 5.3004 -9.3175 5.0841 1.2739 0.
  • 28 -3.6096 5.3424 -8.8953 5.1587 0.5094 0.
  • 29 -4.5036 5.1101 -7.7834 3.9151 0.8941 0.
  • 30 -3.6163 5.3709 -9.0213 4.6654 0.8874 0.
  • 31 -3.7121 5.4879 -9.0934 5.0467 0.0959 0.
  • 32 -4.5525 5.2934 -8.0673 4.0476 0.8403 0.
  • 33 -4.0138 5.4417 -8.8189 4.3811 0.5387 0.
  • 34 -3.8639 5.5896 -9.1679 4.8845 0.1499 0.
  • 35 -4.5648 5.4464 -8.3318 4.1587 0.7009 0.
  • 36 -4.3047 5.5129 -8.7030 4.2043 0.2601 0.
  • 37 -4.0380 5.6614 -9.1659 4.7075 0.2667 0.
  • 38 -4.5680 5.5699 -8.5537 4.2350 0.5300 0.
  • 39 -4.5077 5.5828 -8.6569 4.1064 0.0604 0.
  • 40 -4.2135 5.7139 -9.1240 4.5395 0.2942 0.
  • 41 -4.5768 5.6668 -8.7249 4.2750 0.3633 0.
  • 42 -4.6429 5.6490 -8.6608 4.0616 0.0662 0.
  • 43 -4.3757 5.7544 -9.0681 4.3940 0.2672 0.
  • 44 -4.5967 5.7409 -8.8467 4.2837 0.2210 0.
  • 45 -4.7295 5.7097 -8.6957 4.0489 0.1328 0.
  • 46 -4.5165 5.7875 -9.0144 4.2770 0.2130 0.
  • 47 -4.6280 5.7968 -8.9261 4.2691 0.1114 0.
  • 48 -4.7834 5.7633 -8.7462 4.0525 0.1555 0.
  • 49 -4.6326 5.8160 -8.9714 4.1885 0.1509 0.
  • 50 -4.6677 5.8384 -8.9724 4.2396 0.0352 0.
  • 51 -4.8170 5.8094 -8.8007 4.0619 0.1493 0.
  • 52 -4.7241 5.8416 -8.9421 4.1255 0.0930 0.
  • 53 -4.7121 5.8695 -8.9950 4.2029 0.0120 0.
  • 54 -4.8391 5.8479 -8.8518 4.0708 0.1270 0.
  • 55 -4.7935 5.8647 -8.9263 4.0833 0.0456 0.
  • 56 -4.7573 5.8929 -9.0023 4.1647 0.0362 0.
  • 57 -4.8556 5.8792 -8.8953 4.0761 0.0982 0.
  • 58 -4.8446 5.8857 -8.9215 4.0569 0.0110 0.
  • 59 -4.8004 5.9108 -9.0009 4.1289 0.0442 0.
  • 60 -4.8698 5.9042 -8.9296 4.0768 0.0694 0.
  • 61 -4.8811 5.9045 -8.9248 4.0414 0.0113 0.
  • 62 -4.8392 5.9250 -8.9957 4.0979 0.0419 0.
  • 63 -4.8834 5.9239 -8.9549 4.0734 0.0442 0.
  • 64 -4.9068 5.9210 -8.9330 4.0331 0.0235 0.
  • 65 -4.8726 5.9366 -8.9897 4.0725 0.0342 0.
  • 66 -4.8969 5.9393 -8.9722 4.0669 0.0244 0.
  • 67 -4.9249 5.9353 -8.9437 4.0288 0.0279 0.
  • 68 -4.9003 5.9463 -8.9848 4.0529 0.0246 0.
  • 69 -4.9105 5.9511 -8.9832 4.0586 0.0102 0.
  • 70 -4.9377 5.9475 -8.9550 4.0267 0.0272 0.
  • 71 -4.9225 5.9546 -8.9816 4.0382 0.0152 0.
  • 72 -4.9237 5.9603 -8.9896 4.0495 0.0011 0.
  • 73 -4.9472 5.9576 -8.9654 4.0252 0.0236 0.
  • 74 -4.9399 5.9618 -8.9803 4.0278 0.0073 0.
  • 75 -4.9360 5.9675 -8.9928 4.0405 0.0039 0.
  • 76 -4.9546 5.9658 -8.9744 4.0238 0.0186 0.
  • 77 -4.9532 5.9680 -8.9806 4.0207 0.0015 0.
  • 78 -4.9472 5.9731 -8.9942 4.0324 0.0059 0.
  • 79 -4.9608 5.9725 -8.9816 4.0220 0.0136 0.
  • 80 -4.9631 5.9734 -8.9820 4.0160 0.0024 0.
  • 81 -4.9571 5.9776 -8.9945 4.0253 0.0061 0.
  • 82 -4.9661 5.9779 -8.9871 4.0199 0.0090 0.
  • 83 -4.9706 5.9781 -8.9842 4.0128 0.0045 0.
  • 84 -4.9655 5.9813 -8.9944 4.0195 0.0051 0.
  • 85 -4.9709 5.9822 -8.9911 4.0176 0.0054 0.
  • 86 -4.9762 5.9820 -8.9867 4.0107 0.0053 0.
  • 87 -4.9725 5.9844 -8.9942 4.0148 0.0037 0.
  • 88 -4.9752 5.9855 -8.9938 4.0151 0.0027 0.
  • 89 -4.9804 5.9853 -8.9892 4.0093 0.0052 0.
  • 90 -4.9781 5.9870 -8.9943 4.0113 0.0022 0.
  • 91 -4.9791 5.9882 -8.9955 4.0127 0.0010 0.
  • 92 -4.9836 5.9880 -8.9915 4.0082 0.0045 0.
  • 93 -4.9827 5.9891 -8.9945 4.0086 0.0010 0.
  • 94 -4.9826 5.9903 -8.9966 4.0105 0.0001 0.
  • 95 -4.9862 5.9903 -8.9935 4.0072 0.0037 0.
  • 96 -4.9862 5.9910 -8.9949 4.0067 0.0000 0.
  • 97 -4.9856 5.9920 -8.9972 4.0085 0.0006 0.
  • 98 -4.9884 5.9921 -8.9951 4.0064 0.0027 0.
  • 99 -4.9890 5.9925 -8.9954 4.0053 0.0006 0.
  • 100 -4.9882 5.9934 -8.9976 4.0067 0.0007 0.
  • 101 -4.9902 5.9936 -8.9964 4.0056 0.0019 0.
  • 102 -4.9911 5.9938 -8.9960 4.0043 0.0009 0.
  • 103 -4.9905 5.9945 -8.9979 4.0053 0.0006 0.
  • 104 -4.9917 5.9948 -8.9973 4.0048 0.0012 0.
  • 105 -4.9928 5.9949 -8.9967 4.0035 0.0011 0.
  • 106 -4.9923 5.9955 -8.9981 4.0042 0.0005 0.
  • 107 -4.9930 5.9958 -8.9980 4.0041 0.0007 0.
  • 108 -4.9941 5.9958 -8.9973 4.0030 0.0010 0.
  • 109 -4.9938 5.9962 -8.9982 4.0033 0.0003 0.
  • 110 -4.9942 5.9965 -8.9985 4.0034 0.0004 0.
  • X3 X RROR ABSOLUTO
  • 16.6875 15.
  • 12.0182 6.
  • 4.2062 8.
  • 13.4797 10.
  • 6.1386 1.
  • 6.3879 8.
  • 10.1028 7.
  • 1.8879 1.
  • 6.7704 7.
  • 6.7987 4.
  • 0.8248 2.
  • 6.0678 5.
  • 3.9819 1.
  • 2.2827 3.
  • 4.8362 4.
  • 1.8257 0.
  • 2.8193 3.
  • 3.4674 2.
  • 0.3408 0.
  • 2.7515 2.
  • 2.2056 1.
  • 0.5572 1.
  • 2.3438 1.
  • 1.1769 0.
  • 0.9962 1.
  • 1.7947 1.
  • 0.4221 0.
  • 1.1119 1.
  • 1.2379 0.
  • 0.0721 0.
  • 1.0261 0.
  • 0.7516 0.
  • 0.3490 0.
  • 0.8361 0.
  • 0.3713 0.
  • 0.4628 0.
  • 0.6121 0.
  • 0.1032 0.
  • 0.4671 0.
  • 0.3991 0.
  • 0.0641 0.
  • 0.4074 0.
  • 0.2214 0.
  • 0.1510 0.
  • 0.3187 0.
  • 0.0883 0.
  • 0.1799 0.
  • 0.2252 0.
  • 0.0010 0.
  • 0.1716 0.
  • 0.1414 0.
  • 0.0529 0.
  • 0.1431 0.
  • 0.0744 0.
  • 0.0760 0.
  • 0.1070 0.
  • 0.0262 0.
  • 0.0794 0.
  • 0.0713 0.
  • 0.0049 0.
  • 0.0710 0.
  • 0.0408 0.
  • 0.0218 0.
  • 0.0567 0.
  • 0.0175 0.
  • 0.0285 0.
  • 0.0410 0.
  • 0.0016 0.
  • 0.0282 0.
  • 0.0266 0.