Author(s) :
Ulric Kintzel
Preprint series of the Institute of Mathematics, Technische Universität Berlin
Preprint 34-2003
MSC 2000
- 15A63 Quadratic and bilinear forms, inner products
-
49M15 Methods of Newton-Raphson, Galerkin and Ritz types
Abstract :
A Newton method is introduced for solving procrustes problems in
finite dimensional indefinite scalar product spaces. This involves
optimisation tasks for determining isometries, with the help of which
two given tuples of vectors can be transformed in the sense of an
optimum compensation. The sums of squared distances as well as the
sums of squared areas are minimised as criterion for the
compensation.
Keywords :
Indefinite scalar products, procrustes problems, Newton's method