diff options
Diffstat (limited to 'fg21sim/extragalactic')
| -rw-r--r-- | fg21sim/extragalactic/clusters/solver.py | 16 |
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 |