Piecewise affine bijections of \(\mathbb R^n\), and the equation \(Sx^ +- Tx^ -=y\)
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Publication:580193
DOI10.1016/0024-3795(87)90339-9zbMath0625.90089OpenAlexW2054684771MaRDI QIDQ580193
Publication date: 1987
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0024-3795(87)90339-9
Related Items (15)
About existence and uniqueness of the restricted total least squares estimation ⋮ Generalizations of \(\mathbf P_ 0\)- and \(\mathbf P\)-properties; extended vertical and horizontal linear complementarity problems ⋮ Sensitivity analysis of composite piecewise smooth equations ⋮ Theorems of Perron-Frobenius type for matrices without sign restrictions ⋮ On branching numbers of normal manifolds ⋮ Equations on monotone graphs ⋮ On variational inequalities over polyhedral sets ⋮ Nonlocal error bounds for piecewise affine functions ⋮ Relationships of properties of piecewise affine maps over ordered fields ⋮ Dynamical Stability Conditions for Recurrent Neural Networks with Unsaturating Piecewise Linear Transfer Functions ⋮ Inverse and implicit function theorems forH-differentiable and semismooth functions ⋮ A new proof of Robinson's homeomorphism theorem for pl-normal maps ⋮ A proof of the branching number bound for normal manifolds ⋮ Nonsingularity and symmetry for linear normal maps ⋮ On \(P\)-matrices
Cites Work
- On the number of solutions to the complementarity problem and spanning properties of complementary cones
- Covering spaces, fibre spaces, and local homeomorphisms
- On Piecewise Linear Functions and Piecewise Linear Equations
- On the theory of lateral inhibition
- The Solution of a Quadratic Programming Problem Using Systematic Overrelaxation
- A Partition Theorem for Euclidean n-Space
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