International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 61-64, Pages 3301-3319
doi:10.1155/S0161171204406462
On the optimality of double-bracket flows
Anthony M. Bloch1
and Arieh Iserles2
1Department of Mathematics, University of Michigan, Ann Arbor 48109, MI, USA
2Department of Applied Mathematics and Theoretical Physics, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, UK
Abstract
We analyze the optimality of the stable fixed point of the double-bracket equations. We introduce different types of optimality and prove local and global optimality results with respect to the Schatten p-norms.