Hans F. de Groote, "Lectures on the Complexity of Bilinear Problems"
1987 | pages: 139 | ISBN: 354017205X | PDF | 3,7 mb
The present text is based on lectures I gave during the summer 1982 at the University of Zurich (Switzerland) when I was guest of the Mathematical Research Institute (FIM) of the ETH Zurich. The aim of these lectures ยป;as to present the complexity theory of bilinear problems in a rather unified and coordinate - free form. Naturally, the lectures did not contain all that is known in the field. The emphasis was laid on those problems which are defined by the multiplication in associative algebras (chapters IH-V).
I am very grateful to VolXar Strassen for many useful hints and discussions and for his permanent encouragement to publish these notes. My thanks also go to the Mathematical Research Institute of the ETH and to the Department of Mathematics of the University of Zurich for hospitality and support. Moreover I am very grateful to A. Schonhage and H.J. Stoss for valuable remarks on an early version of these notes.
Last but not least I would like to thank Mrs. A. Fellmann for her exact and efficient typing of the manuscript.
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