factorizacion ldlt
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8/18/2019 factorizacion LDLt
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-105 5/ 7
17 6/ 7
30 1/ 7
4 1/ 14
1 0 0 0
4/ 7 1 0 0
- 1/ 7 - 51/ 71 1 0
3/ 7 41/ 71 - 73/167 1
74
-1
3
L21= 1.5
L31= 2.5
L41= 1
L32= -0.5
L42= 0
L43= -8
D1= 4
D2= 4
D3= 1
D4= 4
8/18/2019 factorizacion LDLt
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4.33802817
4.33333333
0
308 4 7 11
146 73 2
19117.3636364
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8/18/2019 factorizacion LDLt
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7 0 0 0
0 -10 1/ 7 0 00 0 4 50/ 71 0
0 0 0 -5 56/167
7 0 0 0 7 #
4 -10 1/ 7 0 0 4 #
-1 7 2/ 7 4 50/ 71 0 -1 #
3 -5 6/ 7 -2 4/ 71 -5 56/167 3 #
0 0 0 7 9 -1 2-10 1/7 0 0 4 -5 2 #
7 2/7 4 5/7 0 -1 6 3 #
-5 6/7 -2 1/9 -5 1/3 3 -2 -1 #
4 6 10 4
G=6 13 13 6
10 13 27 2
4 6 2 72
d1 d1L21 d1L31 d1L41
LD=d1L21 d1(L21)2+d2L21L31+d2LL41L21+d2L42
d1L31 L21L31+d2L1)2+d2(L32) 1+d2L32L42+
d1L41 L41L21+d2L 1+d2L32L4 d2(L42)2+d3(L
7 9 -1 2
G=4 -5 2 -7
-1 6 3 -4
3 -2 -1 -5
8/18/2019 factorizacion LDLt
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7 9 -1 2
0 -10 1/ 7 2 4/ 7 -8 1/ 7
0 7 2/ 7 2 6/ 7 -3 5/ 7
0 -5 6/ 7 - 4/ 7 -5 6/ 7
7 9 -1 20 -10 1/ 7 2 4/ 7 -8 1/ 7
0 0 4 50/ 71 -9 40/ 71
0 0 -2 4/ 71 -1 11/ 71
7 9 -1 2
G"=0 -10 1/ 7 2 4/ 7 -8 1/ 7
0 0 4 50/ 71 -9 40/ 71
0 0 0 -5 56/167 #
1 0 0 0
L= 4/ 7 1 0 0
- 1/ 7 - 51/ 71 1 0
3/ 7 41/ 71 - 73/167 1
1 1 2/ 7 - 1/ 7 2/ 7
U= 0 1 - 18/ 71 57/ 71
0 0 1 -2 11/334
0 0 0 1
9 6x
6 4.001
0 0.001
d1 =
d2 =
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8/18/2019 factorizacion LDLt
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1 1 2/ 7 - 1/ 7 2/ 7
0 1 - 18/ 71 57/ 710 0 1 -2 11/334
0 0 0 1
0 0 7 9 -1 2
0 0 4 -5 2 -7
4 50/ 71 0 -1 6 3 -4
-2 4/ 71 ### 3 -2 -1 -5
573
64
3L43
3)2+d4
8/18/2019 factorizacion LDLt
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767
######
1782
679
0.009
d1=
10 10
d2 7.1 7.1
0.43333
-287.777778
433.3333333
8/18/2019 factorizacion LDLt
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8/18/2019 factorizacion LDLt
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1782
##
18
30
4.1
L21= 1.5 D1=
L31= 2.5 D2=
L41= 1 D3=
L32= -1 D4=
L42= -1
L43= -9
8/18/2019 factorizacion LDLt
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1 4 3
x
d1
=
2
-1 6 1 d2 -2
3 2 5.001 d3 6.001
d1
=
0.6
d2 -0.4
d3 1
8/18/2019 factorizacion LDLt
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8/18/2019 factorizacion LDLt
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4
4
1
-14
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1 1.5 2.5
0 1 -0.5
0 0 1
0 0 0
1.00 0.00 0.00
L=0.57 1.00 0.00
-0.14 -0.72 1.00
0.43 0.58 -0.44
1.00 0.00 0.00
0.57 1.00 0.00
-0.14 -0.72 1.00
0.43 0.58 -0.44
0
2
6 31/ 71
1 110/167
7 0 0
0 -10.14286 0
0 0 4.704225352
0 0 0
8/18/2019 factorizacion LDLt
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0 0
-0.1971831 - 14/ 71
1.36826347 1 123/334
-0.31088664 - 277/891
1 1.285714 -0.142857143
0 1 -0.253521127
0 0 1
0 0 0
-0.113356 3709
X=
0.239057 263
0.736251 302
-0.310887
1812
8/18/2019 factorizacion LDLt
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7 9 -1
4 -5 2
-1 6 3
3 -2 -1
0.095959596 0.1172839506 -0.0695847363
0.03030303 -0.0740740741 0.0774410774
0.025252525 0.2530864198 0.04601571270.04040404 0.049382716 -0.0819304153
8/18/2019 factorizacion LDLt
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1 1 0 0 0
0 1.5 1 0 0
-8 2.5 -0.5 1 0
11 0 -8 1
0.00 y 0 1 0
0.00x
y
=
2 -0.5714285714 1
0.00 y 5 -0.2676056338 0.7183098592
1.00 y 0 -0.2155688623 -0.2634730539
0
2
0.00 0 6.4366197183
0.00 2 1.6586826347
0.00 5
1.00 0
0
2
5
0
0 0 0.1428571429 0
0 2 0 -0.0985915493
0 6.43661972 0 0
-5.3353 1.65868263 0 0
8/18/2019 factorizacion LDLt
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0
2
6.43661971831.6586826347
0.28571 0 1 -1.2857142857
0.80282 -0.1971831 0 1
-2.0329 1.36826347 0 0
1 -0.31088664 0 0
- 101/891 71/297
656/891 0
- 277/891 -0.1971830986
1.3682634731
-0.3108866442
8/18/2019 factorizacion LDLt
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-0.11
0.240.74
-0.31
2 0.00 2 2 6
-7 2.00 0 0 13
-4 5.00 0 0 13
-5 0.00 5 5 6
-0.0701459035 0 -0.11335578
0.0538720539 2 0.23905724
-0.3810325477 5 0.7362514-0.1874298541 0 -0.31088664
8/18/2019 factorizacion LDLt
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0 0 0 0
-0.928571429 0 0 0
-2.642857143 -0.21830986 0 0
-0.571428571 0.57746479 7.56287425 0
0 0
0 0
1 0
0.4371257485 1
0 0 0
0 0 -0.1971831
0.2125748503 0 1.36826347
0 -0.187429854 -0.31088664
8/18/2019 factorizacion LDLt
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-0.1830985915 0.374251497 -0.11335578
0.2535211268 -0.28742515 0.23905724
1 2.032934132 0.7362514
0 1 -0.31088664
8/18/2019 factorizacion LDLt
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10 4
13 6
27 2
2 72
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8/18/2019 factorizacion LDLt
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8/18/2019 factorizacion LDLt
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8/18/2019 factorizacion LDLt
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A11 =
1 2
4 5
A12 =3 6
-1 4
A21 =-3 4
2 -1
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A22 =5 1
2 3
A11 =in
A12 = 3 6in! -1 4
A21 =-3 4
in 2 -1
inA22 =
5 1
2 3
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8/18/2019 factorizacion LDLt
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-3 -1.66666667 0.66666667
1.33333333 -0.33333333
18 0.22222222 -0.33333333
0.05555556 0.16666667
-5 0.2 0.8
0.4 0.6
8/18/2019 factorizacion LDLt
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13 0.23076923 -0.07692308
-0.15384615 0.38461538