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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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On Constrained Shortest-Route Problems,ning a shortest route through a network with travel times depending on the departure time and with additional time-dependent constraints on movement and parking a dual problem and an algorithm for solving this dual program is considered giving sufficient information for the route problem. A comparis
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Some extensions of linearly constrained nonlinear programming,s. In Sections 5 and 6 the definitions of admissibility of the sequence of directions {s.} and the sequence of stepsizes {σ.} are introduced. The antizigzagging precaution defined in Section 7 uses only information from the constraints active at the point at which it is applied. Section 8 contains c
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Boundary Control of the Higher-Dimensional Wave Equation,per can be easily extended to vibrating systems of several dimensions which are described by the wave equation. This is the purpose of the present note. In [2] we also discussed the problem of controllability that has been previously studied by Butkovskiy [1], Russell [4], [5], and Roxin [3]. In [6]
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0075-8442 nimum point n ( 1) of f(x) x E R Considerable attention has been given to the study of the convergence prop- ties of this algorithm especially for the case where analytic expressions are avai- ble for the derivatives g. = af/ax. i 1 ••• n • (2) ~ ~ In particular we shall mention the results of Wolfe
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Conference proceedings 1976t n ( 1) of f(x) x E R Considerable attention has been given to the study of the convergence prop- ties of this algorithm especially for the case where analytic expressions are avai- ble for the derivatives g. = af/ax. i 1 ••• n • (2) ~ ~ In particular we shall mention the results of Wolfe (1969) an
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On the Convergence of the Variable Metric Method with Numerical Derivatives and the Effect of Noiset is known that variable metric methods are very unreliable when the function evaluation is subject to noise. It is shown that this is due to two reasons. The numerical estimates of the gradient become very unreliable and the standard line search strategy fails. The new linear search overcomes the second of these difficulties.
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