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Springer-Verlag, Berlin 1985. x, 208 pp. Printed wrapper. Good condition. (Lecture Notes in Control and Information Sciences 66).

Zustand: New. 1990. Paperback. . . . . .

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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This volume is intended for readers who, whether they be mathematicians, workers in other fields or students, are familiar with the basic approaches and methods of mathematical optimization. The subject matter is concerned with optimization problems in which some or all of the individual data involved depend on one parameter. Such problems are called one-parametric optimization problems. Solution algorithms for such problems are of interest for several reasons. We consider here mainly applications of solution algorithms for one-parametric optimization problems in the following fields: (i) globally convergent algorithms for nonlinear, in particular non-convex, optimization problems, (ii) global optimization, (iii) multi-objective optimization. The main tool for a solution algorithm for a one-parametric optimization problem will be the so-called pathfollowing methods (also called continuation or homotopy methods) (cf. Chapters 3 and 4). Classical methods in the set of stationary points will be extended to the set of all generalized critical points. This could be helpful since the path of stationary points stops in this set, but there is a continuation in the broader set of generalized critical points. However, it will be shown that pathfollowing methods only are not successful in every case. This is the reason why we propose to jump from one connected component in the set of local minimizers and generalized critical points, respectively, to another one (Chapter 5).…

Hardcover. Zustand: Good. English This volume examines the development and transmission of mathematical knowledge in the centuries following the reign of Charlemagne and places the mathematical achievements of the Carolingian period within the broader history of European science. The contributions discuss the role of the Carolingian Renaissance and scholars such as Alcuin in the preservation and advancement of mathematical learning, while also examining connections between medieval mathematical traditions and later developments in geometry, combinatorics, number theory, operations research and other areas. The volume brings together historical and mathematical perspectives and demonstrates how intellectual traditions associated with Charlemagne's cultural programme contributed to the continuing development of mathematics and scientific thought in Europe.…

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