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Lower bound functions for polynomials
Journal of computational and applied mathematics, 2003-08, Vol.157 (1), p.207-225
2003

Details

Autor(en) / Beteiligte
Titel
Lower bound functions for polynomials
Ist Teil von
  • Journal of computational and applied mathematics, 2003-08, Vol.157 (1), p.207-225
Ort / Verlag
Amsterdam: Elsevier B.V
Erscheinungsjahr
2003
Link zum Volltext
Quelle
Electronic Journals Library
Beschreibungen/Notizen
  • Relaxation techniques for solving nonlinear systems and global optimisation problems require bounding from below the nonconvexities that occur in the constraints or in the objective function by affine or convex functions. In this paper we consider such lower bound functions in the case of problems involving multivariate polynomials. They are constructed by using Bernstein expansion. An error bound exhibiting quadratic convergence in the univariate case and some numerical examples are given.
Sprache
Englisch
Identifikatoren
ISSN: 0377-0427
eISSN: 1879-1778
DOI: 10.1016/S0377-0427(03)00422-9
Titel-ID: cdi_crossref_primary_10_1016_S0377_0427_03_00422_9
Format
–
Schlagworte
Algorithmics. Computability. Computer arithmetics, Applied sciences, Computer science, control theory, systems, Exact sciences and technology, Mathematical programming, Mathematics, Numerical analysis, Numerical analysis in abstract spaces, Numerical analysis. Scientific computation, Numerical methods in mathematical programming, optimization and calculus of variations, Numerical methods in optimization and calculus of variations, Operational research and scientific management, Operational research. Management science, Sciences and techniques of general use, Theoretical computing

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