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- W1977904123 abstract "We study a certain piecewise linear manifold, which we call the normal manifold, associated with a polyhedral convex set, and a family of continuous functions, called normal maps, that are induced on this manifold by continuous functions from R n to R n . These normal maps occur frequently in optimization and equilibrium problems, and the subclass of normal maps induced by linear transformations plays a key role. Our main result is that the normal map induced by a linear transformation is a Lipschitzian homeomorphism if and only if the determinant of the map in each n-cell of the normal manifold has the same (nonzero) sign." @default.
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- W1977904123 date "1992-08-01" @default.
- W1977904123 modified "2023-10-17" @default.
- W1977904123 title "Normal Maps Induced by Linear Transformations" @default.
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- W1977904123 doi "https://doi.org/10.1287/moor.17.3.691" @default.
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