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-rw-r--r--fg21sim/extragalactic/clusters/solver.py16
1 files changed, 16 insertions, 0 deletions
diff --git a/fg21sim/extragalactic/clusters/solver.py b/fg21sim/extragalactic/clusters/solver.py
index bc9a8fd..364d91c 100644
--- a/fg21sim/extragalactic/clusters/solver.py
+++ b/fg21sim/extragalactic/clusters/solver.py
@@ -22,6 +22,22 @@ def TDMAsolver(a, b, c, d):
a[i]*x[i-1] + b[i]*x[i] + c[i]*x[i+1] = d[i],
where: a[1] = c[n] = 0
+ Example
+ -------
+ >>> A = np.array([[10, 2, 0, 0],
+ [ 3, 10, 4, 0],
+ [ 0, 1, 7, 5],
+ [ 0, 0, 3, 4]], dtype=float)
+ >>> a = np.array([ 3, 1, 3], dtype=float)
+ >>> b = np.array([10, 10, 7, 4], dtype=float)
+ >>> c = np.array([ 2, 4, 5 ], dtype=float)
+ >>> d = np.array([ 3, 4, 5, 6], dtype=float)
+ >>> print(TDMAsolver(a, b, c, d))
+ [ 0.14877589 0.75612053 -1.00188324 2.25141243]
+ # compare against numpy linear algebra library
+ >>> print(np.linalg.solve(A, d))
+ [ 0.14877589 0.75612053 -1.00188324 2.25141243]
+
References
----------
[1] http://en.wikipedia.org/wiki/Tridiagonal_matrix_algorithm