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  • 1
    Electronic Resource
    Electronic Resource
    Capacity and quantum mechanical tunneling (1981)
    Springer
    Communications in mathematical physics 81 (1981), S. 501-513 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract We connect the notion of capacity of sets in the theory of symmetric Markov process and Dirichlet forms with the notion of tunneling through the boundary of sets in quantum mechanics. In particular we show that for diffusion processes the notion appropriate to a boundary without tunneling is more refined than simply capacity zero. We also discuss several examples in ℝ d .
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01208271
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    A minimization method for the sum of a convex function and a continuously differentiable function (1981)
    Springer
    Journal of optimization theory and applications 33 (1981), S. 9-23 
    Details
    ISSN: 1573-2878
    Keywords: Mathematical programming ; nonconvex nondifferentiable optimization problems ; subgradients ; critical points
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract This paper presents a method for finding the minimum for a class of nonconvex and nondifferentiable functions consisting of the sum of a convex function and a continuously differentiable function. The algorithm is a descent method which generates successive search directions by solving successive convex subproblems. The algorithm is shown to converge to a critical point.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00935173
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    Paper (German National Licenses)
    Fulltext
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