[Ipopt] regularization for projected spmd Hessians

Martin Neuenhofen martinneuenhofen at googlemail.com
Wed Apr 19 12:53:21 EDT 2017

Dear all,

I have a problem where the Hessian is computed as HL = P' * D * P, where D
is diagonal non-negative. P is size m x n with m>=n and has column rank n.
Since P could be augmented by columns to something invertable Sylvesters
theorem applies and HL should be positive semi-definite as well. However, I
observe that Ipopt with solvers ma27 as well as ma97 is taking considerable
large regularization parameters. Does anybody know why it does so? I would
have hoped that no regularization is taken.

Kind regards,
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