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the computationsoutlinedinthe text proceedas follows:
=
12
4
11
0
0
0
12
r 0 =
b
Ax 0 =
1
5
1
4
2
1
5
1
2
4
12
s 0 =
r 0 =
1
5
=
4
11
12
54
As 0 =
1
4
2
1
5
26
34
1
2
4
s 0 r 0
12 2
1) 2
5 2
+
(
+
α 0 =
s 0 As 0 =
=
0
.
201 42
12(54)
+
(
1)(
26)
+
5(34)
+
=
0
0
0
12
2
.
41704
x 1 =
x 0 + α 0 s 0 =
0
.
201 42
1
5
0
.
201 42
1
.
00710
=
12
4
11
2
.
417 04
1
.
123 32
r 1 =
b
Ax 1 =
1
5
1
4
2
0
.
201 42
4
.
236 92
1
2
4
1
.
00710
1
.
84828
r 1 As 0
1
.
123 32(54)
+
4
.
236 92(
26)
1
.
84828(34)
β 0 =−
s 0 As 0 =−
=
0
.
133 107
12(54)
+
(
1)(
26)
+
5(34)
⎦ +
⎦ =
1
.
123 32
12
2
.
720 76
s 1 =
r 1 + β 0 s 0 =
4
.
236 92
0
.
133 107
1
5
4
.
10380
1
.
84828
1
.
182 68
=
4
11
2
.
720 76
5
.
596 56
As 1 =
1
4
2
4
.
10380
16
.
059 80
.
.
1
2
4
1
182 68
10
217 60
s 1 r 1
s 1 As 1
α 1 =
2
.
720 76(1
.
123 32)
+
4
.
10380(4
.
236 92)
+
(
1
.
182 68)(
1
.
84828)
=
2
.
720 76(5
.
596 56)
+
4
.
10380(16
.
059 80)
+
(
1
.
182 68)(
10
.
217 60)
=
0
.
24276
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