科研之友
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摘要
The notion of the geometric mean of two positive reals is extended by Ando (1978) to the case of positive semidefinite matrices A and B. Moreover, an interesting generalization of the geometric mean A # B of A and B to convex functions was introduced by Atteia and Raissouli (2001) with a different viewpoint of convex analysis. The present work aims at providing a further development of the geometric mean of convex functions due to Atteia and Raissouli (2001). A new algorithmic self-dual operator for convex functions named %26quot;the geometric mean of parameterized arithmetic and harmonic means of convex functions%26quot; is proposed, and its essential properties are investigated.
- 出版日期2012
