Author:
Publisher: Peter Lang Publishing
ISBN:
Category : Mathematics
Languages : en
Pages : 704
Book Description
The volume contains original articles and survey papers on approximation theory (e.g. approximation by polynomial and rational functions, approximation by operators, orthogonal polynomials, meromorphic functions), optimization (e.g. integer, nonlinear, quadratic, multi-objective, fractional, semi-infinite), control theory (e.g. singular control problems), equations and inequalities (e.g. complexity), mathematical economy (e.g. core theory, infinite horizon economics), and shows the relations among these topics.
Approximation, Optimization and Mathematical Economics
Author: Marc Lassonde
Publisher: Springer Science & Business Media
ISBN: 3642575927
Category : Mathematics
Languages : en
Pages : 390
Book Description
The articles in this proceedings volume reflect the current trends in the theory of approximation, optimization and mathematical economics, and include numerous applications. The book will be of interest to researchers and graduate students involved in functional analysis, approximation theory, mathematical programming and optimization, game theory, mathematical finance and economics.
Publisher: Springer Science & Business Media
ISBN: 3642575927
Category : Mathematics
Languages : en
Pages : 390
Book Description
The articles in this proceedings volume reflect the current trends in the theory of approximation, optimization and mathematical economics, and include numerous applications. The book will be of interest to researchers and graduate students involved in functional analysis, approximation theory, mathematical programming and optimization, game theory, mathematical finance and economics.
Approximation and Optimization in the Caribbean II
Author:
Publisher: Peter Lang Publishing
ISBN:
Category : Mathematics
Languages : en
Pages : 704
Book Description
The volume contains original articles and survey papers on approximation theory (e.g. approximation by polynomial and rational functions, approximation by operators, orthogonal polynomials, meromorphic functions), optimization (e.g. integer, nonlinear, quadratic, multi-objective, fractional, semi-infinite), control theory (e.g. singular control problems), equations and inequalities (e.g. complexity), mathematical economy (e.g. core theory, infinite horizon economics), and shows the relations among these topics.
Publisher: Peter Lang Publishing
ISBN:
Category : Mathematics
Languages : en
Pages : 704
Book Description
The volume contains original articles and survey papers on approximation theory (e.g. approximation by polynomial and rational functions, approximation by operators, orthogonal polynomials, meromorphic functions), optimization (e.g. integer, nonlinear, quadratic, multi-objective, fractional, semi-infinite), control theory (e.g. singular control problems), equations and inequalities (e.g. complexity), mathematical economy (e.g. core theory, infinite horizon economics), and shows the relations among these topics.
Fixed Point Theory, Variational Analysis, and Optimization
Author: Saleh Abdullah R. Al-Mezel
Publisher: CRC Press
ISBN: 1482222086
Category : Business & Economics
Languages : en
Pages : 368
Book Description
Fixed Point Theory, Variational Analysis, and Optimization not only covers three vital branches of nonlinear analysis-fixed point theory, variational inequalities, and vector optimization-but also explains the connections between them, enabling the study of a general form of variational inequality problems related to the optimality conditions invol
Publisher: CRC Press
ISBN: 1482222086
Category : Business & Economics
Languages : en
Pages : 368
Book Description
Fixed Point Theory, Variational Analysis, and Optimization not only covers three vital branches of nonlinear analysis-fixed point theory, variational inequalities, and vector optimization-but also explains the connections between them, enabling the study of a general form of variational inequality problems related to the optimality conditions invol
Variational Methods in Partially Ordered Spaces
Author: Alfred Göpfert
Publisher: Springer Science & Business Media
ISBN: 0387217436
Category : Business & Economics
Languages : en
Pages : 359
Book Description
This book discusses basic tools of partially ordered spaces and applies them to variational methods in Nonlinear Analysis and for optimizing problems. This book is aimed at graduate students and research mathematicians.
Publisher: Springer Science & Business Media
ISBN: 0387217436
Category : Business & Economics
Languages : en
Pages : 359
Book Description
This book discusses basic tools of partially ordered spaces and applies them to variational methods in Nonlinear Analysis and for optimizing problems. This book is aimed at graduate students and research mathematicians.
Mathematical Programming with Data Perturbations
Author: Anthony V. Fiacco
Publisher: CRC Press
ISBN: 1000117111
Category : Mathematics
Languages : en
Pages : 456
Book Description
Presents research contributions and tutorial expositions on current methodologies for sensitivity, stability and approximation analyses of mathematical programming and related problem structures involving parameters. The text features up-to-date findings on important topics, covering such areas as the effect of perturbations on the performance of algorithms, approximation techniques for optimal control problems, and global error bounds for convex inequalities.
Publisher: CRC Press
ISBN: 1000117111
Category : Mathematics
Languages : en
Pages : 456
Book Description
Presents research contributions and tutorial expositions on current methodologies for sensitivity, stability and approximation analyses of mathematical programming and related problem structures involving parameters. The text features up-to-date findings on important topics, covering such areas as the effect of perturbations on the performance of algorithms, approximation techniques for optimal control problems, and global error bounds for convex inequalities.
Iterative Approximation of Fixed Points
Author: Vasile Berinde
Publisher: Springer
ISBN: 3540722343
Category : Mathematics
Languages : en
Pages : 338
Book Description
This monograph gives an introductory treatment of the most important iterative methods for constructing fixed points of nonlinear contractive type mappings. For each iterative method considered, it summarizes the most significant contributions in the area by presenting some of the most relevant convergence theorems. It also presents applications to the solution of nonlinear operator equations as well as the appropriate error analysis of the main iterative methods.
Publisher: Springer
ISBN: 3540722343
Category : Mathematics
Languages : en
Pages : 338
Book Description
This monograph gives an introductory treatment of the most important iterative methods for constructing fixed points of nonlinear contractive type mappings. For each iterative method considered, it summarizes the most significant contributions in the area by presenting some of the most relevant convergence theorems. It also presents applications to the solution of nonlinear operator equations as well as the appropriate error analysis of the main iterative methods.
Bi-Level Strategies in Semi-Infinite Programming
Author: Oliver Stein
Publisher: Springer Science & Business Media
ISBN: 1441991646
Category : Mathematics
Languages : en
Pages : 219
Book Description
Semi-infinite optimization is a vivid field of active research. Recently semi infinite optimization in a general form has attracted a lot of attention, not only because of its surprising structural aspects, but also due to the large number of applications which can be formulated as general semi-infinite programs. The aim of this book is to highlight structural aspects of general semi-infinite programming, to formulate optimality conditions which take this structure into account, and to give a conceptually new solution method. In fact, under certain assumptions general semi-infinite programs can be solved efficiently when their bi-Ievel structure is exploited appropriately. After a brief introduction with some historical background in Chapter 1 we be gin our presentation by a motivation for the appearance of standard and general semi-infinite optimization problems in applications. Chapter 2 lists a number of problems from engineering and economics which give rise to semi-infinite models, including (reverse) Chebyshev approximation, minimax problems, ro bust optimization, design centering, defect minimization problems for operator equations, and disjunctive programming.
Publisher: Springer Science & Business Media
ISBN: 1441991646
Category : Mathematics
Languages : en
Pages : 219
Book Description
Semi-infinite optimization is a vivid field of active research. Recently semi infinite optimization in a general form has attracted a lot of attention, not only because of its surprising structural aspects, but also due to the large number of applications which can be formulated as general semi-infinite programs. The aim of this book is to highlight structural aspects of general semi-infinite programming, to formulate optimality conditions which take this structure into account, and to give a conceptually new solution method. In fact, under certain assumptions general semi-infinite programs can be solved efficiently when their bi-Ievel structure is exploited appropriately. After a brief introduction with some historical background in Chapter 1 we be gin our presentation by a motivation for the appearance of standard and general semi-infinite optimization problems in applications. Chapter 2 lists a number of problems from engineering and economics which give rise to semi-infinite models, including (reverse) Chebyshev approximation, minimax problems, ro bust optimization, design centering, defect minimization problems for operator equations, and disjunctive programming.
Calculus Without Derivatives
Author: Jean-Paul Penot
Publisher: Springer Science & Business Media
ISBN: 1461445388
Category : Mathematics
Languages : en
Pages : 541
Book Description
Calculus Without Derivatives expounds the foundations and recent advances in nonsmooth analysis, a powerful compound of mathematical tools that obviates the usual smoothness assumptions. This textbook also provides significant tools and methods towards applications, in particular optimization problems. Whereas most books on this subject focus on a particular theory, this text takes a general approach including all main theories. In order to be self-contained, the book includes three chapters of preliminary material, each of which can be used as an independent course if needed. The first chapter deals with metric properties, variational principles, decrease principles, methods of error bounds, calmness and metric regularity. The second one presents the classical tools of differential calculus and includes a section about the calculus of variations. The third contains a clear exposition of convex analysis.
Publisher: Springer Science & Business Media
ISBN: 1461445388
Category : Mathematics
Languages : en
Pages : 541
Book Description
Calculus Without Derivatives expounds the foundations and recent advances in nonsmooth analysis, a powerful compound of mathematical tools that obviates the usual smoothness assumptions. This textbook also provides significant tools and methods towards applications, in particular optimization problems. Whereas most books on this subject focus on a particular theory, this text takes a general approach including all main theories. In order to be self-contained, the book includes three chapters of preliminary material, each of which can be used as an independent course if needed. The first chapter deals with metric properties, variational principles, decrease principles, methods of error bounds, calmness and metric regularity. The second one presents the classical tools of differential calculus and includes a section about the calculus of variations. The third contains a clear exposition of convex analysis.
Mathematical Reviews
Mathematics And Its Teaching In The Southern Americas: With An Introduction By Ubiratan D'ambrosio
Author: Hector Rosario
Publisher: World Scientific
ISBN: 9814590584
Category : Mathematics
Languages : en
Pages : 508
Book Description
This anthology presents a comprehensive review of mathematics and its teaching in the following nations in South America, Central America, and the Caribbean: Argentina, Bolivia, Brazil, Chile, Colombia, Costa Rica, Cuba, Guyana, Haiti, Honduras, México, Panamá, Paraguay, Perú, Puerto Rico, Trinidad and Tobago, and Venezuela. The last summary of mathematics education encompassing countries from the Southern Americas appeared in 1966. Progress in the field during five decades has remained unexamined until now.
Publisher: World Scientific
ISBN: 9814590584
Category : Mathematics
Languages : en
Pages : 508
Book Description
This anthology presents a comprehensive review of mathematics and its teaching in the following nations in South America, Central America, and the Caribbean: Argentina, Bolivia, Brazil, Chile, Colombia, Costa Rica, Cuba, Guyana, Haiti, Honduras, México, Panamá, Paraguay, Perú, Puerto Rico, Trinidad and Tobago, and Venezuela. The last summary of mathematics education encompassing countries from the Southern Americas appeared in 1966. Progress in the field during five decades has remained unexamined until now.