The D3 Triangulation For Simplicial Deformation Algorithms For Computing Solutions Of Nonlinear Equations PDF Download

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Triangulations and Simplicial Methods

Triangulations and Simplicial Methods
Author: Chuangyin Dang
Publisher: Springer Science & Business Media
Total Pages: 199
Release: 2012-12-06
Genre: Business & Economics
ISBN: 3642487750

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As a new type of technique, simplicial methods have yielded extremely important contributions toward solutions of a system of nonlinear equations. Theoretical investigations and numerical tests have shown that the performance of simplicial methods depends critically on the triangulations underlying them. This monograph describes some recent developments in triangulations and simplicial methods. It includes the D1-triangulation and its applications to simplicial methods. As a result, efficiency of simplicial methods has been improved significantly. Thus more effective simplicial methods have been developed.


Handbook of Global Optimization

Handbook of Global Optimization
Author: R. Horst
Publisher: Springer Science & Business Media
Total Pages: 891
Release: 2013-12-11
Genre: Mathematics
ISBN: 1461520258

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Global optimization is concerned with the computation and characterization of global optima of nonlinear functions. During the past three decades the field of global optimization has been growing at a rapid pace, and the number of publications on all aspects of global optimization has been increasing steadily. Many applications, as well as new theoretical, algorithmic, and computational contributions have resulted. The Handbook of Global Optimization is the first comprehensive book to cover recent developments in global optimization. Each contribution in the Handbook is essentially expository in nature, but scholarly in its treatment. The chapters cover optimality conditions, complexity results, concave minimization, DC programming, general quadratic programming, nonlinear complementarity, minimax problems, multiplicative programming, Lipschitz optimization, fractional programming, network problems, trajectory methods, homotopy methods, interval methods, and stochastic approaches. The Handbook of Global Optimization is addressed to researchers in mathematical programming, as well as all scientists who use optimization methods to model and solve problems.


Mathematical Reviews

Mathematical Reviews
Author:
Publisher:
Total Pages: 868
Release: 1994
Genre: Mathematics
ISBN:

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Planning Algorithms

Planning Algorithms
Author: Steven M. LaValle
Publisher: Cambridge University Press
Total Pages: 844
Release: 2006-05-29
Genre: Computers
ISBN: 9780521862059

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Planning algorithms are impacting technical disciplines and industries around the world, including robotics, computer-aided design, manufacturing, computer graphics, aerospace applications, drug design, and protein folding. Written for computer scientists and engineers with interests in artificial intelligence, robotics, or control theory, this is the only book on this topic that tightly integrates a vast body of literature from several fields into a coherent source for teaching and reference in a wide variety of applications. Difficult mathematical material is explained through hundreds of examples and illustrations.


Computations in Algebraic Geometry with Macaulay 2

Computations in Algebraic Geometry with Macaulay 2
Author: David Eisenbud
Publisher: Springer Science & Business Media
Total Pages: 335
Release: 2013-03-14
Genre: Mathematics
ISBN: 3662048515

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This book presents algorithmic tools for algebraic geometry, with experimental applications. It also introduces Macaulay 2, a computer algebra system supporting research in algebraic geometry, commutative algebra, and their applications. The algorithmic tools presented here are designed to serve readers wishing to bring such tools to bear on their own problems. The first part of the book covers Macaulay 2 using concrete applications; the second emphasizes details of the mathematics.