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  • 1
    Electronic Resource
    Electronic Resource
    Global optimization using interval analysis: The one-dimensional case (1979)
    Springer
    Journal of optimization theory and applications 29 (1979), S. 331-344 
    Details
    ISSN: 1573-2878
    Keywords: Global optimization ; interval analysis ; global minimization ; one-dimensional optimization
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract We show how interval analysis can be used to compute the minimum value of a twice continuously differentiable function of one variable over a closed interval. When both the first and second derivatives of the function have a finite number of isolated zeros, our method never fails to find the global minimum.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00933139
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  • 2
    Electronic Resource
    Electronic Resource
    Bounding the set of solutions of a perturbed global optimization problem (1991)
    Springer
    Journal of global optimization 1 (1991), S. 359-374 
    Details
    ISSN: 1573-2916
    Keywords: Global optimization ; sensitivity analysis ; error analysis ; interval analysis ; perturbations
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Consider a global optimization problem in which the objective function and/or the constraints are expressed in terms of parameters. Suppose we wish to know the set of global solutions as the parameters vary over given intervals. In this paper we discuss procedures using interval analysis for computing guaranteed bounds on the solution set. This provides a means for doing a sensitivity analysis or simply bounding the effect of errors in data.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00130831
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    Paper (German National Licenses)
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