On the Calculus of Limiting Subhessians |
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Authors: | A Eberhard and R Wenczel |
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Institution: | (1) School of Mathematical and Geospatial Sciences, RMIT University, GPO Box 2476V, 3001 Melbourne, Australia |
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Abstract: | We discuss various qualification assumptions that allow calculus rules for limiting subhessians to be derived. Such qualification
assumptions are based on a singular limiting subjet derived from a sequence of efficient subsets of symmetric matrices. We
introduce a new efficiency notion that results in a weaker qualification assumption than that introduced in Ioffe and Penot
(Trans Amer Math Soc 249: 789–807, 1997) and prove some calculus rules that are valid under this weaker qualification assumption.
The work of A. Eberhard was supported by ARC research grant DP0664423. |
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Keywords: | Subhessians Subjets Second-order subdifferential calculus Efficient operators |
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