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- W2246758158 abstract "A method for calculating the global minimum points of an unconstrained minimization problem min{f(x) | x ∈ X{ is presented. f: X → ℝ and $$ K = frac{{kvarrho g}}{eta } $$is an interval vector, i.e. a compact parallelepiped with sides parallel to the coordinate axes. This method is based on the tools of interval arithmetic and uses a special branch-and-bound technique in connection with a descent method. Besides the calculation of approximations of the global minimum value f* and the set of all global minimum points X* the algorithm provides a guaranteed lower and upper bound of f*, i.e. the bounds calculated on a computer are always correct despite the presence of rounding errors and the nonlinearity of f. Derivatives of the function are not required." @default.
- W2246758158 created "2016-06-24" @default.
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- W2246758158 date "1992-01-01" @default.
- W2246758158 modified "2023-09-25" @default.
- W2246758158 title "An Interval Method for Global Unconstrained Optimization" @default.
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- W2246758158 doi "https://doi.org/10.1007/978-3-642-48417-9_28" @default.
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