Tame Nonsmooth Inverse Mapping Theorems
نویسندگان
چکیده
We give several versions of local and global inverse mapping theorem for tame non necessarily smooth, mappings. Here tame mapping means a mapping which is subanalytic or, more generally, definable in some o-minimal structure. Our sufficient conditions are formulated in terms of various properties (convexity, positivity of some principal minors, contractiblity) of the space of Jacobi’s matrices at smooth points.
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ورودعنوان ژورنال:
- SIAM Journal on Optimization
دوره 20 شماره
صفحات -
تاریخ انتشار 2010