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Titlebook: Optimization and Operations Research; Proceedings of a Con Werner Oettli,Klaus Ritter Conference proceedings 1976 Springer-Verlag Berlin ·

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楼主: 不要提吃饭
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On a Method for Computing Pseudoinverses,Let A be a continuous linear operator with domain of definition D(A)=X and range of values R(A)=Y, where Xand Y are Hilbert spaces. We are given an element yεY and a subset M⊂X,and the problem of finding an element xεM which solves the equation
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,Nondifferentiable Optimisation Subgradient and ε — Subgradient Methods,We give some ideas which lead to descent methods for minimizing nondifferentiable functions. Such methods have been published in several papers and they all involve the same concept, namely the ε — subdifferential.
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,Models in Resource Allocation — Trees of Queues,Queueing models play an important role in resource-allocation problems. In this paper a tree consisting of terminals (sources of requests), queues and synchronous servers is investigated. The generating function and the first moment of the holding time of a request generated by an arbitrary terminal are calculated.
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On the Convergence of the Variable Metric Method with Numerical Derivatives and the Effect of Noise ε. such that if the termination criteria is set greater than this value then convergence is assured, but that below this value the behaviour is uncertain. This theoretical result is in agreement with previously published experimental results. A modified scheme for the search along a line is describ
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On minimization under linear equality constraints, to solve the first one may apply any unconstrained minimization method to the second problem. By translating this into the language of the first problem one obtains equivalent methods, together with the equivalent convergence properties. An application is given to Goldfarb’s extension of the variab
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