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Advances in Numerical Analysis
Table of Contents
Advances in Numerical Analysis
/
2011
/
Article
/
Tab 1
/
Research Article
Partitioning Inverse Monte Carlo Iterative Algorithm for Finding the Three Smallest Eigenpairs of Generalized Eigenvalue Problem
Table 1
Number of chains
𝑁
=
8
0
.
Dimension
Eigenvalues error
Eigenvectors error
𝜆
1
(
1
)
𝜆
1
(
2
)
𝜆
1
(
3
)
𝑣
1
(
1
)
𝑣
1
(
2
)
𝑣
1
(
3
)
6
4
×
6
4
1
.
2
6
×
1
0
−
7
4
.
5
×
1
0
−
7
1
.
2
6
×
1
0
−
6
8
.
3
6
×
1
0
−
4
.
0
0
2
8
1
3
.
0
0
8
1
5
4
1
2
8
×
1
2
8
1
.
1
8
×
1
0
−
7
4
.
4
6
×
1
0
−
7
1
.
3
3
×
1
0
−
6
6
.
3
3
×
1
0
−
4
.
0
0
2
5
3
4
.
0
0
8
0
7
4
2
5
6
×
2
5
6
6
.
4
8
×
1
0
−
8
4
.
3
7
×
1
0
−
7
1
.
5
1
×
1
0
−
6
3
.
1
6
×
1
0
−
4
.
0
0
2
1
5
1
.
0
0
8
0
7
0
5
1
2
×
5
1
2
7
.
9
1
×
1
0
−
8
2
.
8
7
×
1
0
−
7
1
.
7
2
×
1
0
−
6
1
.
8
3
×
1
0
−
4
.
0
0
1
2
8
4
.
0
0
7
7
5
9
1
0
2
4
×
1
0
2
4
7
.
0
4
×
1
0
−
8
1
.
9
9
×
1
0
−
7
1
.
7
9
×
1
0
−
6
1
.
0
6
×
1
0
−
4
.
0
0
0
7
1
2
.
0
0
7
6
9