Newton ’ s method on Graßmann manifolds

A general class of Newton algorithms on Graßmann and Lagrange–Graßmann manifolds is introduced, that depends on an arbitrary pair of local coordinates. Local ⋆ corresponding author The first author was partially supported by a grant from BMBF within the FprofUnd programme. The second and third author are with National ICT Australia Limited which is funded by the Australian Government’s Department of Communications, Information Technology and the Arts and the Australian Research Council through Backing Australia’s Ability and the ICT Research Centre of Excellence Program. U. Helmke Mathematisches Institut Universität Würzburg Am Hubland 97074 Würzburg Germany E-mail: [email protected] K. Hüper National ICT Australia Limited Canberra Research Laboratory Locked Bag 8001 Canberra ACT 2601 Australia E-mail: [email protected] and Department of Information Engineering The Australian National University J. Trumpf Department of Information Engineering The Australian National University Canberra ACT 0200 Australia Tel.: +61-2-61258677 Fax: +61-2-61258660 E-mail: [email protected] and National ICT Australia Limited Canberra Research Laboratory