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Could anybody describe a procedure for splitting a matrix using a choleski method?

Could anyone show this on a simple example:

Let's say we have a matrix A:

[2 1 0 0]

[1 2 1 0]

[0 1 2 1]

[0 0 1 2]

and matrix b:

[1]

[0]

[0]

[1]

How to get x:

Ax = b

using abovementioned method?

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# Choleski Split

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