Boost logo

Glas :

Re: [glas] vector space, banach space and hilbert space concepts

From: Karl Meerbergen (Karl.Meerbergen_at_[hidden])
Date: 2005-04-12 07:28:58


There is also need for another concept required by methods that use
pseudo inner products. For example, the dot-product of complex vectors
is not an inner product since x^T * x is not real (in general). Such
products are used in linear system and eigenvalue solvers of complex
symmetric matrices. The inner product herm(x)*x is not used in such
methods. This could lead to a PseudoHilbertSpace concept.