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27 changes: 27 additions & 0 deletions Drazin-inverse & sympy
Original file line number Diff line number Diff line change
@@ -0,0 +1,27 @@
import sympy as sp
def Shiloh_GI1(A,k):
n=A.shape[1]
p=1
F=sp.eye(n)
Y=sp.eye(n)
while(k!=0):
Y=Y*A
k=k-1
YA=Y*A
j=1
while p!=0:
YAF=YA*F
p=sp.trace(YAF)/j
A_pinv=F*Y/p
F=YAF-p*sp.eye(n)
j+=1
p=sp.trace(YA*F)/j
return A_pinv
def Shiloh_GI(A,k):
(m,n)=A.shape
if m>=n:
A_pinv,DIM= Shiloh_GI1(A,k)
else:
AH_pinv,DIM= Shiloh_GI1(A.H,k)
A_pinv=AH_pinv.H
return A_pinv,DIM