Compare Prices | Create Shopping Lists with Price Drop Alerts | Set Coupons, Promo Codes & Sales Alerts | Get Access to Exclusive Deals and Much More... All in One Place | Read all about it here

Optimization in Banach Spaces

Optimization in Banach Spaces

Brand
Springer Nature
Manufacturer
N/A
Part Number
0
GTIN
9783031126437
Condition
New
Product Description

The book is devoted to the study of constrained minimization problems on closed and convex sets in Banach spaces with a Frechet differentiable objective function. Such problems are well studied in a finite-dimensional space and in an infinite-dimensional Hilbert space. When the space is Hilbert there are many algorithms for solving optimization problems including the gradient projection algorithm which is one of the most important tools in the optimization theory, nonlinear analysis and their applications. An optimization problem is described by an objective function and a set of feasible points. For the gradient projection algorithm each iteration consists of two steps. The first step is a calculation of a gradient of the objective function while in the second one we calculate a projection on the feasible set. In each of these two steps there is a computational error. In our recent research we show that the gradient projection algorithm generates a good approximate solution, if all the computational errors are bounded from above by a small positive constant. It should be mentioned that the properties of a Hilbert space play an important role. When we consider an optimization problem in a general Banach space the situation becomes more difficult and less understood. On the other hand such problems arise in the approximation theory. The book is of interest for mathematicians working in optimization. It also can be useful in preparation courses for graduate students. The main feature of the book which appeals specifically to this audience is the study of algorithms for convex and nonconvex minimization problems in a general Banach space. The book is of interest for experts in applications of optimization to the approximation theory. In this book the goal is to obtain a good approximate solution of the constrained optimization problem in a general Banach space under the presence of computational errors. It is shown that the algorithm generates a good approximate solution, if the sequence of computational errors is bounded from above by a small constant. The book consists of four chapters. In the first we discuss several algorithms which are studied in the book and prove a convergence result for an unconstrained problem which is a prototype of our results for the constrained problem. In Chapter 2 we analyze convex optimization problems. Nonconvex optimization problems are studied in Chapter 3. In Chapter 4 we study continuous algorithms for minimization problems under the presence of computational errors. The algorithm generates a good approximate solution, if the sequence of computational errors is bounded from above by a small constant. The book consists of four chapters. In the first we discuss several algorithms which are studied in the book and prove a convergence result for an unconstrained problemwhich is a prototype of our results for the constrained problem. In Chapter 2 we analyze convex optimization problems. Nonconvex optimization problems are studied in Chapter 3. In Chapter 4 we study continuous algorithms for minimization problems under the presence of computational errors.

Available Colors
Available Sizes
1 Offer Price Range: $39.99 - $39.99
BEST PRICE

Single Product Purchase

$39.99
@ Link.springer.com     BUY Now

Price Comparison

Seller Contact Seller List Price On Sale Shipping Best Promo Final Price Volume Discount Financing Availability Seller's Page
BEST PRICE
1 Product Purchase
@ Link.springer.com
Contact Store Call Store Contact Support
$39.99 $39.99

$39.99
See Site In stock Visit Store

Similar Products

Angiocardiography

$39.99

Resonances in Few-Body Systems

$84.99

Second Language Learning Motivation in a European Context: The Case of Hungary

$109.00

Reconsidering National Plays in Europe

$99.00

The Molecular and Cellular Biology of Fertilization

$54.99

The Statesman's Year-Book 1969-70

$99.00

London On My Mind (Hardcover)

$14.99

Biological Models via Interval Type-2 Fuzzy Sets

$64.99

Die Mathe-Wichtel Band 2

$19.99

Kreative bungen in der Ergotherapie

$34.99

Advances in Human Factors and Ergonomics in Healthcare and Medical Devices

$189.00

Inflation in Tudor and Early Stuart England

$54.99

Modelling Congenital Heart Disease

$169.99

Contributions to Autonomous Mobile Systems

$54.99

Theoretical and Experimental Aspects of Valence Fluctuations and Heavy Fermions

$84.99

The Law of the Olympic Games

$109.99

Work and Industry

$109.99

Algebraic Methods for Toeplitz-like Matrices and Operators

$54.99

Smart Cities

$169.99

Phenomenology and Intersubjectivity

$54.99

Global Chemical Kinetics of Fossil Fuels

$99.99

The Principle of Least Action in Geometry and Dynamics

$34.99

Wissenschaftliche Verffentlichungen aus dem Siemens-Konzern

$59.99

Fashion Communication in the Digital Age

$129.00

Care of the Patient with a Stroke

$54.99

Der Intelligenz-Quotient in Wissenschaft und Politik

$64.99

Burnout vermeiden - Berufsfreude gewinnen

$24.99

Smart Ports and Robotic Systems

$139.99

Microcirculation in Fractal Branching Networks

$129.00

The Physics of Birdsong

$84.99

Das Patellofemoralgelenk beim knstlichen Kniegelenkersatz

$54.99

Kompetenz, Performanz, soziale Teilhabe

$59.99

Developmental Assets and Asset-Building Communities

$129.00

Evozierte Potenziale

$54.99

Plant Ecophysiology and Adaptation under Climate Change: Mechanisms and Perspectives II

$249.99

The Basal Forebrain

$39.99

A Practical Approach to Microarray Data Analysis

$39.99

PHP Objects, Patterns and Practice

$59.99

Building Interactive Systems

$54.99

T.G.Masaryk (1850-1937)

$39.99