On Piecewise Linear Approximations to Smooth Mappings

DOI10.1287/moor.4.2.153zbMath0414.90093OpenAlexW2128356287MaRDI QIDQ3050164

Romesh Saigal

Publication date: 1979

Published in: Mathematics of Operations Research (Search for Journal in Brave)

Full work available at URL: http://www.kellogg.northwestern.edu/research/math/papers/311.pdf

zbMATH Keywords

asymptotic behaviortopological degreenonlinear equationsnonlinear analysissmooth mappingsfixed point algorithmspiecewise linear approximationsLipschitz continuous derivativescaled triangulations

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Mathematical programming (90C99)

Related Items (6)

A property of matrices with positive determinants ⋮ Intermediate value theorem for simplices for simplicial approximation of fixed points and zeros ⋮ Exploiting structure in piecewise-linear homotopy algorithms for solving equations ⋮ Equidimensional isometric extensions ⋮ Estimates for piecewise linear approximations of implicitly defined manifolds ⋮ Computation of all solutions to a system of polynomial equations

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