- Title
- Dynamics of positive multiconvex relations
- Creator
- Vladimirov, Alexander; Rubinov, Alex
- Date
- 2001
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/69617
- Identifier
- https://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/69617
- Identifier
- vital:910
- Identifier
- https://www.heldermann-verlag.de/jca/jca08/jca0207.pdf
- Identifier
- ISSN:0944-6532
- Abstract
- A notion of multiconvex relation as a union of a finite number of convex relations is introduced. For a particular case of multiconvex process, that is, a union of a finite set of convex processes, we define the notions of the joint and the generalized spectral radius in the same manner as for matrices. We prove the equivalence of these two values if all component processes are positive, bounded, and closed. © Heldermann Verlag.
- Publisher
- Heldermann Verlag
- Relation
- Journal of Convex Analysis Vol. 8, no. 2 (2001), p. 387-399
- Rights
- Open Access
- Rights
- Copyright Heldermann Verlag
- Rights
- This metadata is freely available under a CCO license
- Subject
- 0101 Pure Mathematics; Convex process; Convex relation; Generalized spectral radius; Rate of growth; Star-shaped set
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