[SciPy-user] solve for symetric matrix ?
Thu Apr 26 06:40:11 CDT 2007
On 4/26/07, Nils Wagner <email@example.com> wrote:
> Joachim Dahl wrote:
> > On 4/26/07, *fred* <firstname.lastname@example.org <mailto:email@example.com>> wrote:
> > Hi,
> > I use scipy.linalg.solve() to solve Au=b, where A is symetric (and
> > diagonal filled with 0).
> > If the diagonal is 0, then the matrix is not definite (so, neither is
> > -A)...
> I missed the main information (zero diagonal)
> Are you aware of a simple proof that a symmetric matrix with zero
> diagonal entries is indefinite ?
if diag(A)=0 then ei'*A*ei = 0 so A is not positive definite. Same goes
for -A, so A is
not negative definite either.
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