On my Min-Max Theorem (1968) and its consequences

  • Karl Gustafson University of Colorado
Keywords: min-max theorem, operator trigonometry, optimization

Abstract

Central to the origins of my operator trigonometry, a theory in which I initiated the concepts of antieigenvalues and antieigenvectors, is my 1968 Min-Max Theorem. I will discuss its motivation, proof, and consequences. Special emphasis will be given here to a new view that sin φ(A) may be viewed as a general optimum which encompasses many other optima of individual interest.

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Author Biography

Karl Gustafson, University of Colorado

Department of Mathematics

Published
2010-12-31
Section
Articles