Newton's Method for Generalized Equations and the PIES Energy Model PDF Download
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Author: Norman Harold Josephy
Publisher:
ISBN:
Category : Nonlinear programming
Languages : en
Pages : 196
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Book Description
Author: Norman Harold Josephy
Publisher:
ISBN:
Category : Nonlinear programming
Languages : en
Pages : 196
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Book Description
Author: Norman H. Josephy
Publisher:
ISBN:
Category : Economics, Mathematical
Languages : en
Pages : 33
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Book Description
Newton's method is a well known and often applied technique for computing a zero of a nonlinear function. By using the theory of generalized equations, a Newton method has been developed to solve problems arising in both mathematical programming and mathematical economics. It is shown how Newton's method for generalized equations can be applied to the economic equilibrium problem of the Project Independence Evaluation System (PIES) Energy Model. Solutions to a simplified version of PIES are obtained using a Newton method, and comparisons are made to solutions which have appeared in the literature.
Author: Norman Harold Josephy
Publisher:
ISBN:
Category : Nonlinear programming
Languages : en
Pages : 226
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Book Description
Author: Norman H. Josephy
Publisher:
ISBN:
Category :
Languages : en
Pages : 29
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Author:
Publisher:
ISBN:
Category : Power resources
Languages : en
Pages : 740
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Book Description
Author: Ioannis K. Argyros
Publisher: CRC Press
ISBN: 1000536777
Category : Mathematics
Languages : en
Pages : 356
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Book Description
The theory and applications of Iteration Methods is a very fast-developing field of numerical analysis and computer methods. The second edition is completely updated and continues to present the state-of-the-art contemporary theory of iteration methods with practical applications, exercises, case studies, and examples of where and how they can be used. The Theory and Applications of Iteration Methods, Second Edition includes newly developed iteration methods taking advantage of the most recent technology (computers, robots, machines). It extends the applicability of well-established methods by increasing the convergence domain and offers sharper error tolerance. New proofs and ideas for handling convergence are introduced along with a new variety of story problems picked from diverse disciplines. This new edition is for researchers, practitioners, and students in engineering, economics, and computational sciences.
Author: Asen L. Dontchev
Publisher: Springer Nature
ISBN: 3030799115
Category : Mathematics
Languages : en
Pages : 223
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Book Description
This book presents an introduction to variational analysis, a field which unifies theories and techniques developed in calculus of variations, optimization, and control, and covers convex analysis, nonsmooth analysis, and set-valued analysis. It focuses on problems with constraints, the analysis of which involves set-valued mappings and functions that are not differentiable. Applications of variational analysis are interdisciplinary, ranging from financial planning to steering a flying object. The book is addressed to graduate students, researchers, and practitioners in mathematical sciences, engineering, economics, and finance. A typical reader of the book should be familiar with multivariable calculus and linear algebra. Some basic knowledge in optimization, control, and elementary functional analysis is desirable, but all necessary background material is included in the book.
Author:
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ISBN:
Category : Aeronautics
Languages : en
Pages : 794
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Book Description
Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.
Author: A. Alberto Magrenan
Publisher: Academic Press
ISBN: 0128094931
Category : Mathematics
Languages : en
Pages : 402
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Book Description
A Contemporary Study of Iterative Methods: Convergence, Dynamics and Applications evaluates and compares advances in iterative techniques, also discussing their numerous applications in applied mathematics, engineering, mathematical economics, mathematical biology and other applied sciences. It uses the popular iteration technique in generating the approximate solutions of complex nonlinear equations that is suitable for aiding in the solution of advanced problems in engineering, mathematical economics, mathematical biology and other applied sciences. Iteration methods are also applied for solving optimization problems. In such cases, the iteration sequences converge to an optimal solution of the problem at hand. Contains recent results on the convergence analysis of numerical algorithms in both finite-dimensional and infinite-dimensional spaces Encompasses the novel tool of dynamic analysis for iterative methods, including new developments in Smale stability theory and polynomiography Explores the uses of computation of iterative methods across non-linear analysis Uniquely places discussion of derivative-free methods in context of other discoveries, aiding comparison and contrast between options
Author:
Publisher:
ISBN:
Category : Fuel
Languages : en
Pages : 616
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Book Description
