Graphics Programs Reference
In-Depth Information
2.
Use the Sturm sequence to show that
⎡
⎣
⎤
⎦
5
−
2
00
−
2
4
−
1
0
A
=
0
−
1
4
−
2
−
00
25
hasoneeigenvalue in the interval(2
,
4).
3. Bracket each eigenvalueof
⎡
⎣
⎤
⎦
4
−
1
0
A
=
−
1
4
−
1
0
−
1
4
4.Bracket each eigenvalueof
⎡
⎣
⎤
⎦
610
182
0 29
A
=
5. Bracket every eigenvalueof
⎡
⎣
⎤
⎦
2
−
1
00
−
12
−
1
0
=
A
0
−
12
−
1
00
−
11
6.
Tridiagonalize the matrix
⎡
⎣
⎤
⎦
12 4 3
4 93
3315
A
=
with Householder's reduction.
7.
Use Householder's reduction to transform the matrix
⎡
⎣
⎤
⎦
4
−
21
−
1
−
2
4
−
21
=
A
−
−
1
2
4
2
−
11
−
2
4
to tridiagonalform.
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