On the number of zeros of a mapping

DOI10.1016/S0096-3003(96)00336-0zbMath0907.65046OpenAlexW2087834787MaRDI QIDQ1126682

S. H. Smith

Publication date: 2 August 1998

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

Full work available at URL: https://doi.org/10.1016/s0096-3003(96)00336-0

zbMATH Keywords

existence theoremscontinuation methodsexact number of zeros of a mapping

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items (11)

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 ⋮ Existence of zeros for bounded perturbations of proper mappings ⋮ Mappings sharing a value on finite-dimensional spaces ⋮ Open trajectories. ⋮ A compactness condition. ⋮ A second zero of a function.

Cites Work

• A special type of triangulations in numerical nonlinear analysis
• Extremum points of a convex function
• Global minimum point of a convex function
• 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
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