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- W80438512 abstract "This chapter discusses a few geometrical features of inverse of problems. It presents the problems described by a mapping M of a set C called the set of parameters into a set E called the set of results. The solution of the inverse problem is either a true solution, when M(C) = E and the inverse mapping is sufficiently continuous for a reasonable distance in E, or a solution obtained after regularizing, that is, after defining in a proper way a mapping or a multi-mapping M−1 from E to C, sufficiently continuous for a reasonable distance. The chapter focuses on problems whose ill-posedness has been reduced to under-determination only by a preliminary work." @default.
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- W80438512 date "1987-01-01" @default.
- W80438512 modified "2023-09-26" @default.
- W80438512 title "A FEW GEOMETRICAL FEATURES OF INVERSE AND ILL-POSED PROBLEMS" @default.
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- W80438512 doi "https://doi.org/10.1016/b978-0-12-239040-1.50005-3" @default.
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