Status: New
Owner: [email protected]
Labels: Type-Defect Priority-Medium
New issue 2193 by [email protected]: Matrix.eigenvects() return empty vectors
in some cases
http://code.google.com/p/sympy/issues/detail?id=2193
In some cases (where matrix is symbolical or with complex) "eigenvects"
method return no vectors,
m = Matrix(2,2,[1, 0, 0, I])
m.eigenvects()
[(1/2 + I/2 - (-1)**(3/4)*2**(1/2)/2, 1, []), (1/2 + I/2 +
(-1)**(3/4)*2**(1/2)/2, 1, [])]
expected: [(1, 1, [1, 0]), (I, 1, [0, 1])]
The same is with
a = var("a")
m = Matrix(2,2,[1, 0, 0, a])
m.eigenvects()
Probably it is because of the very complex answer ("1/2 + I/2 -
(-1)**(3/4)*2**(1/2)/2") given by roots(x**2 + (1 + I)*x + I, x), while
must be symply 1 and I.
Also, in any case, if no vectors are found for eigenvalue (by unrecognized
reasons) but they must be, then exception must be raised in this method at
the right moment.
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