[SciPy-dev] Bug in linalg.eig

[Norbert Nemec]

Could you please try to isolate the problem into a standalone script?
Without knowing the content of the files G.mtx and H.mtx, it is a bit
hard to understand what G and H are and what the problem actually is.



Nils Wagner wrote:

>Hi all,
>
>It turns out that linalg.eig is erroneous !
>
>Please find attached my latest findings ...
>
>Unfortunately, I have no idea how to resolve this problem within linalg.eig.
>
>
>As a workaround one can use the functions
>
>linalg.flapack.zgegv
>linalg.flapack.zggev
>
>Nils
>
>from scipy import *
>from pylab import *
>G = io.mmread('G.mtx')
>H = io.mmread('H.mtx')
>#w = linalg.eigvals(G,H)
>n = G.shape[0]
>w = zeros(n,Complex)
>w1= zeros(n,Complex)
>#
># http://www.netlib.org/lapack/patch/src/zggev.f
>#
>alpha,beta,vl,vr,work,info =
>linalg.flapack.zggev(G,H,compute_vl=0,compute_vr=0,lwork=8*n,overwrite_a=0,overwrite_b=0)
>#
># http://www.netlib.org/lapack/patch/src/zgegv.f
>#
>alpha1,beta1,vl1,vr1,info1 =
>linalg.flapack.zgegv(G,H,compute_vl=0,compute_vr=0,lwork=2*n,overwrite_a=0,overwrite_b=0)
>
>
>for i in arange(0,n):
>    if beta[i] <> 0.0:
>       w[i] = alpha[i]/beta[i]
>       w1[i] = alpha1[i]/beta1[i]
>
>#w0 = linalg.eigvals(G,H)  # Doesn't work
>
>subplot(211)
>plot(w.real,w.imag,'b.')
>subplot(212)
>plot(w1.real,w1.imag,'r.')
>show()
>
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>  
>