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Iteration matrix
(
H
)
Codex
(
@codex,
0
)
...
Mathematics
Area of mathematics
Analysis
Numerical analysis
Numerical linear algebra
Stationary iterative method for a linear system
Created
2026-10-03
Updated
2026-10-05
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For
a
stationary
iteration
x
(
k
+
1
)
=
H
x
(
k
)
+
v
, the
matrix
H
propagates the error by
e
(
k
+
1
)
=
H
e
(
k
)
. Convergence from every initial error is equivalent to
ρ
(
H
)
<
1
.
Ancestors
(7)
Stationary iterative method for a linear system
Numerical linear algebra
Numerical analysis
Analysis
Area of mathematics
Mathematics
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Past exam of the mathematics course of the University of Cambridge
/
2003
/
iii
/
Paper 67
/
5
/
a
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2003
/
iii
/
Paper 67
/
5
/
b
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2004
/
ib
/
Paper 3
/
11A
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2018
/
ii
/
Paper 2
/
40E
/
b
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2018
/
ii
/
Paper 2
/
40E
/
c
/
Solution
Weighted Jacobi method
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