Existence of zeros for bounded perturbations of proper mappings

DOI10.1016/S0096-3003(97)10183-7zbMath1044.58013MaRDI QIDQ1294294

K. Appert

Publication date: 1999

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

zbMATH Keywords

existence theoremsregular valueimplicit functionhomotopycontinuation methodszero pointproper mappingbounded perturbation

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Differentiable maps on manifolds (58C25) Implicit function theorems; global Newton methods on manifolds (58C15)

Related Items

A stable solution., Stable and unstable stationary trajectories, A regular value of compact deformation, Existence and computation of zeros of perturbed mappings, Compact embeddings and proper mappings, Continuous embeddings and continuation methods, Mappings sharing a value on finite-dimensional spaces, Open trajectories., A compactness condition., A second zero of a function.

Cites Work

• On the number of zeros of a mapping
• A special type of triangulations in numerical nonlinear analysis
• Extremum points of a convex function
• On the existence of zero points
• Global minimum point of a convex function
• Approximation of a Function and its Derivatives by Entire Functions of Several Variables
• The Homotopy Continuation Method: Numerically Implementable Topological Procedures
• On the Number of Solutions to Polynomial Systems of Equations
• Determining All Solutions to Certain Systems of Nonlinear Equations
• Computing Kakutani Fixed Points
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