Minor fix to breakdown.
This commit is contained in:
+21
-21
@@ -1,26 +1,25 @@
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import numpy as np
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import numpy.linalg as LA
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"""
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Classic Lanczos method (without re-orthogonalization)
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Arguments
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L : Real valued NxN symmetric matrix
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s : vector of size N
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M : natural number indicating basis size
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Returns
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-------
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V : ndarray
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M-dimensional vector with orthonormal columns.
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alp : ndarray
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M-dimensional array of scalars.
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beta : ndarray
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M-dimensional array of scalars.
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"""
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def lanczos(L, s, M):
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"""
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Classic Lanczos method (without re-orthogonalization)
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Arguments
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L : Real valued NxN symmetric matrix
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s : vector of size N
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M : natural number indicating basis size
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Returns
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-------
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V : ndarray
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M-dimensional vector with orthonormal columns.
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alp : ndarray
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M-dimensional array of scalars.
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beta : ndarray
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M-dimensional array of scalars.
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"""
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N = len(s)
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alp = np.zeros(M)
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beta = np.zeros(M - 1)
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@@ -37,8 +36,9 @@ def lanczos(L, s, M):
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if j < M - 1:
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beta[j] = LA.norm(w)
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if beta[j] == 0:
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break
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if beta[j] < 1e-14:
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print("BREAKDOWN")
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return V[:, : j + 1], alp[: j + 1], beta[:j]
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V[:, j + 1] = w / beta[j]
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return [V, alp, beta]
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return V, alp, beta
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