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1. Stable and stabilizable means involving linear operator arguments.

Author

Raïssouli, Mustapha

Subjects
*ARITHMETIC mean, *LINEAR operators, *OPERATOR theory, *MATHEMATICAL variables, *ITERATIVE methods (Mathematics), *ALGORITHMS, *MATHEMATICAL analysis
Abstract

In this paper we extend the stability and stabilizability concepts from the case that the variables are positive real numbers to the case that the variables are positive linear operators. Since the algebra of bounded linear operators is not commutative, such extension does not appear to be obvious. As applications, iterative operator algorithms, converging to some operator means, are discussed. [ABSTRACT FROM PUBLISHER]

Published
2014
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