Author: Harold S. Shapiro
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 156
Book Description
Smoothing and Approximation of Functions
Author: Harold S. Shapiro
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 156
Book Description
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 156
Book Description
Smoothing and Approximation of Functions
Author: Harold S. Shapiro (mathématicien).)
Publisher:
ISBN:
Category : Approximation theory
Languages : en
Pages : 246
Book Description
Publisher:
ISBN:
Category : Approximation theory
Languages : en
Pages : 246
Book Description
Reformulation: Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods
Author: Masao Fukushima
Publisher: Springer Science & Business Media
ISBN: 9780792353201
Category : Mathematics
Languages : en
Pages : 468
Book Description
The concept of `reformulation' has long played an important role in mathematical programming. A classical example is the penalization technique in constrained optimization. More recent trends consist of reformulation of various mathematical programming problems, including variational inequalities and complementarity problems, into equivalent systems of possibly nonsmooth, piecewise smooth or semismooth nonlinear equations, or equivalent unconstrained optimization problems that are usually differentiable, but in general not twice differentiable. The book is a collection of peer-reviewed papers that cover such diverse areas as linear and nonlinear complementarity problems, variational inequality problems, nonsmooth equations and nonsmooth optimization problems, economic and network equilibrium problems, semidefinite programming problems, maximal monotone operator problems, and mathematical programs with equilibrium constraints. The reader will be convinced that the concept of `reformulation' provides extremely useful tools for advancing the study of mathematical programming from both theoretical and practical aspects. Audience: This book is intended for students and researchers in optimization, mathematical programming, and operations research.
Publisher: Springer Science & Business Media
ISBN: 9780792353201
Category : Mathematics
Languages : en
Pages : 468
Book Description
The concept of `reformulation' has long played an important role in mathematical programming. A classical example is the penalization technique in constrained optimization. More recent trends consist of reformulation of various mathematical programming problems, including variational inequalities and complementarity problems, into equivalent systems of possibly nonsmooth, piecewise smooth or semismooth nonlinear equations, or equivalent unconstrained optimization problems that are usually differentiable, but in general not twice differentiable. The book is a collection of peer-reviewed papers that cover such diverse areas as linear and nonlinear complementarity problems, variational inequality problems, nonsmooth equations and nonsmooth optimization problems, economic and network equilibrium problems, semidefinite programming problems, maximal monotone operator problems, and mathematical programs with equilibrium constraints. The reader will be convinced that the concept of `reformulation' provides extremely useful tools for advancing the study of mathematical programming from both theoretical and practical aspects. Audience: This book is intended for students and researchers in optimization, mathematical programming, and operations research.
Surface Approximation and Data Smoothing Using Generalized Spline Functions
Author: Gregory Morris Nielson
Publisher:
ISBN:
Category : Approximation theory
Languages : en
Pages : 192
Book Description
Publisher:
ISBN:
Category : Approximation theory
Languages : en
Pages : 192
Book Description
Smoothness and Renormings in Banach Spaces
Author: Robert Deville
Publisher: Chapman & Hall/CRC
ISBN:
Category : Mathematics
Languages : en
Pages : 398
Book Description
The purpose of this book is to provide the reader with a self-contained treatment of the basic techniques of construction of equivalent norms on Banach spaces which enjoy special properties of convexity and smoothness. We also show how the existence of such norms relates to the structure of the space, and provide applications in various directions.
Publisher: Chapman & Hall/CRC
ISBN:
Category : Mathematics
Languages : en
Pages : 398
Book Description
The purpose of this book is to provide the reader with a self-contained treatment of the basic techniques of construction of equivalent norms on Banach spaces which enjoy special properties of convexity and smoothness. We also show how the existence of such norms relates to the structure of the space, and provide applications in various directions.
Smoothing Techniques
Author: Wolfgang Härdle
Publisher: Springer Science & Business Media
ISBN: 1461244323
Category : Mathematics
Languages : en
Pages : 267
Book Description
The author has attempted to present a book that provides a non-technical introduction into the area of non-parametric density and regression function estimation. The application of these methods is discussed in terms of the S computing environment. Smoothing in high dimensions faces the problem of data sparseness. A principal feature of smoothing, the averaging of data points in a prescribed neighborhood, is not really practicable in dimensions greater than three if we have just one hundred data points. Additive models provide a way out of this dilemma; but, for their interactiveness and recursiveness, they require highly effective algorithms. For this purpose, the method of WARPing (Weighted Averaging using Rounded Points) is described in great detail.
Publisher: Springer Science & Business Media
ISBN: 1461244323
Category : Mathematics
Languages : en
Pages : 267
Book Description
The author has attempted to present a book that provides a non-technical introduction into the area of non-parametric density and regression function estimation. The application of these methods is discussed in terms of the S computing environment. Smoothing in high dimensions faces the problem of data sparseness. A principal feature of smoothing, the averaging of data points in a prescribed neighborhood, is not really practicable in dimensions greater than three if we have just one hundred data points. Additive models provide a way out of this dilemma; but, for their interactiveness and recursiveness, they require highly effective algorithms. For this purpose, the method of WARPing (Weighted Averaging using Rounded Points) is described in great detail.
The Ricci Flow
Author: Bennett Chow
Publisher: American Mathematical Society(RI)
ISBN: 9781470413620
Category : Global differential geometry
Languages : en
Pages : 562
Book Description
Geometric analysis has become one of the most important tools in geometry and topology. In their books on the Ricci flow, the authors reveal the depth and breadth of this flow method for understanding the structure of manifolds. With the present book, the authors focus on the analytic aspects of Ricci flow.
Publisher: American Mathematical Society(RI)
ISBN: 9781470413620
Category : Global differential geometry
Languages : en
Pages : 562
Book Description
Geometric analysis has become one of the most important tools in geometry and topology. In their books on the Ricci flow, the authors reveal the depth and breadth of this flow method for understanding the structure of manifolds. With the present book, the authors focus on the analytic aspects of Ricci flow.
Numerical Methods of Statistics
Author: John F. Monahan
Publisher: Cambridge University Press
ISBN: 1139498002
Category : Computers
Languages : en
Pages : 465
Book Description
This book explains how computer software is designed to perform the tasks required for sophisticated statistical analysis. For statisticians, it examines the nitty-gritty computational problems behind statistical methods. For mathematicians and computer scientists, it looks at the application of mathematical tools to statistical problems. The first half of the book offers a basic background in numerical analysis that emphasizes issues important to statisticians. The next several chapters cover a broad array of statistical tools, such as maximum likelihood and nonlinear regression. The author also treats the application of numerical tools; numerical integration and random number generation are explained in a unified manner reflecting complementary views of Monte Carlo methods. Each chapter contains exercises that range from simple questions to research problems. Most of the examples are accompanied by demonstration and source code available from the author's website. New in this second edition are demonstrations coded in R, as well as new sections on linear programming and the Nelder–Mead search algorithm.
Publisher: Cambridge University Press
ISBN: 1139498002
Category : Computers
Languages : en
Pages : 465
Book Description
This book explains how computer software is designed to perform the tasks required for sophisticated statistical analysis. For statisticians, it examines the nitty-gritty computational problems behind statistical methods. For mathematicians and computer scientists, it looks at the application of mathematical tools to statistical problems. The first half of the book offers a basic background in numerical analysis that emphasizes issues important to statisticians. The next several chapters cover a broad array of statistical tools, such as maximum likelihood and nonlinear regression. The author also treats the application of numerical tools; numerical integration and random number generation are explained in a unified manner reflecting complementary views of Monte Carlo methods. Each chapter contains exercises that range from simple questions to research problems. Most of the examples are accompanied by demonstration and source code available from the author's website. New in this second edition are demonstrations coded in R, as well as new sections on linear programming and the Nelder–Mead search algorithm.
Bayesian Filtering and Smoothing
Author: Simo Särkkä
Publisher: Cambridge University Press
ISBN: 110703065X
Category : Computers
Languages : en
Pages : 255
Book Description
A unified Bayesian treatment of the state-of-the-art filtering, smoothing, and parameter estimation algorithms for non-linear state space models.
Publisher: Cambridge University Press
ISBN: 110703065X
Category : Computers
Languages : en
Pages : 255
Book Description
A unified Bayesian treatment of the state-of-the-art filtering, smoothing, and parameter estimation algorithms for non-linear state space models.
Approximation of Functions
Author: Henry Leslie Garabedian
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 240
Book Description
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 240
Book Description