The Resource Implicit Functions and Solution Mappings : A View from Variational Analysis, by Asen L. Dontchev, R. Tyrrell Rockafellar, (electronic resource)
Implicit Functions and Solution Mappings : A View from Variational Analysis, by Asen L. Dontchev, R. Tyrrell Rockafellar, (electronic resource)
Resource Information
The item Implicit Functions and Solution Mappings : A View from Variational Analysis, by Asen L. Dontchev, R. Tyrrell Rockafellar, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.This item is available to borrow from 1 library branch.
Resource Information
The item Implicit Functions and Solution Mappings : A View from Variational Analysis, by Asen L. Dontchev, R. Tyrrell Rockafellar, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.
This item is available to borrow from 1 library branch.
- Summary
- The implicit function theorem is one of the most important theorems in analysis and its many variants are basic tools in partial differential equations and numerical analysis. This second edition of Implicit Functions and Solution Mappings presents an updated and more complete picture of the field by including solutions of problems that have been solved since the first edition was published, and places old and new results in a broader perspective. The purpose of this self-contained work is to provide a reference on the topic and to provide a unified collection of a number of results which are currently scattered throughout the literature. Updates to this edition include new sections in almost all chapters, new exercises and examples, updated commentaries to chapters and an enlarged index and references section. From reviews of the first edition: The book commences with a helpful context-setting preface followed by six chapters. Each chapter starts with a useful preamble and concludes with a careful and instructive commentary, while a good set of references, a notation guide, and a somewhat brief index complete this study. ... I unreservedly recommended this book to all practitioners and graduate students interested in modern optimization theory or control theory or to those just engaged by beautiful analysis cleanly described. (Jonathan Michael Browein, IEEE Control Systems Magazine, February, 2012) This book is devoted to the theory of inverse and implicit functions and some of its modifications for solution mappings in variational problems. ... The book is targeted to a broad audience of researchers, teachers and graduate students. It can be used as well as a textbook as a reference book on the topic. Undoubtedly, it will be used by mathematicians dealing with functional and numerical analysis, optimization, adjacent branches and also by specialists in mechanics, physics, engineering, economics, and so on. (Peter Zabreiko, Zentralblatt MATH, Vol. 1178, 2010) The present monograph will be a most welcome and valuable addition. ... This book will save much time and effort, both for those doing research in variational analysis and for students learning the field. This important contribution fills a gap in the existing literature. (Stephen M. Robinson, Mathematical Reviews, Issue 2010)
- Language
- eng
- Edition
- Second edition 2014.
- Extent
- XXVIII, 466 pages 14 illustrations, 1 illustrations in color.
- Contents
-
- Introduction and equation-solving background
- Solution mappings for variational problems
- Set-valued analysis of solution mappings
- Regularity properties through generalized derivatives
- Metric regularity in infinite dimensions
- Applications in numerical variational analysis
- Isbn
- 9781493910373
- Label
- Implicit Functions and Solution Mappings : A View from Variational Analysis
- Title
- Implicit Functions and Solution Mappings
- Title remainder
- A View from Variational Analysis
- Statement of responsibility
- by Asen L. Dontchev, R. Tyrrell Rockafellar
- Language
- eng
- Summary
- The implicit function theorem is one of the most important theorems in analysis and its many variants are basic tools in partial differential equations and numerical analysis. This second edition of Implicit Functions and Solution Mappings presents an updated and more complete picture of the field by including solutions of problems that have been solved since the first edition was published, and places old and new results in a broader perspective. The purpose of this self-contained work is to provide a reference on the topic and to provide a unified collection of a number of results which are currently scattered throughout the literature. Updates to this edition include new sections in almost all chapters, new exercises and examples, updated commentaries to chapters and an enlarged index and references section. From reviews of the first edition: The book commences with a helpful context-setting preface followed by six chapters. Each chapter starts with a useful preamble and concludes with a careful and instructive commentary, while a good set of references, a notation guide, and a somewhat brief index complete this study. ... I unreservedly recommended this book to all practitioners and graduate students interested in modern optimization theory or control theory or to those just engaged by beautiful analysis cleanly described. (Jonathan Michael Browein, IEEE Control Systems Magazine, February, 2012) This book is devoted to the theory of inverse and implicit functions and some of its modifications for solution mappings in variational problems. ... The book is targeted to a broad audience of researchers, teachers and graduate students. It can be used as well as a textbook as a reference book on the topic. Undoubtedly, it will be used by mathematicians dealing with functional and numerical analysis, optimization, adjacent branches and also by specialists in mechanics, physics, engineering, economics, and so on. (Peter Zabreiko, Zentralblatt MATH, Vol. 1178, 2010) The present monograph will be a most welcome and valuable addition. ... This book will save much time and effort, both for those doing research in variational analysis and for students learning the field. This important contribution fills a gap in the existing literature. (Stephen M. Robinson, Mathematical Reviews, Issue 2010)
- Cataloging source
- IT-FiEUI
- http://library.link/vocab/creatorName
- Dontchev, Asen L
- Image bit depth
- 0
- Literary form
- non fiction
- http://library.link/vocab/relatedWorkOrContributorDate
- 1935-.
- http://library.link/vocab/relatedWorkOrContributorName
-
- Rockafellar, R. Tyrrell
- SpringerLink (Online service)
- Series statement
-
- Springer Series in Operations Research and Financial Engineering,
- Springer eBooks
- http://library.link/vocab/subjectName
-
- Mathematics
- Global analysis (Mathematics)
- Numerical analysis
- Mathematical optimization
- Label
- Implicit Functions and Solution Mappings : A View from Variational Analysis, by Asen L. Dontchev, R. Tyrrell Rockafellar, (electronic resource)
- Antecedent source
- mixed
- Carrier category
- online resource
- Carrier category code
-
- cr
- Carrier MARC source
- rdacarrier.
- Color
- not applicable
- Content category
- text
- Content type code
-
- txt
- Content type MARC source
- rdacontent.
- Contents
- Introduction and equation-solving background -- Solution mappings for variational problems -- Set-valued analysis of solution mappings -- Regularity properties through generalized derivatives -- Metric regularity in infinite dimensions -- Applications in numerical variational analysis
- Control code
- 978-1-4939-1037-3
- Dimensions
- unknown
- Edition
- Second edition 2014.
- Extent
- XXVIII, 466 pages 14 illustrations, 1 illustrations in color.
- File format
- multiple file formats
- Form of item
- electronic
- Governing access note
- Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
- Isbn
- 9781493910373
- Level of compression
- uncompressed
- Media category
- computer
- Media MARC source
- rdamedia.
- Media type code
-
- c
- Other control number
- 10.1007/978-1-4939-1037-3
- Other physical details
- online resource.
- Quality assurance targets
- absent
- Reformatting quality
- access
- Specific material designation
- remote
- System control number
- (OCoLC)1086457926
- Label
- Implicit Functions and Solution Mappings : A View from Variational Analysis, by Asen L. Dontchev, R. Tyrrell Rockafellar, (electronic resource)
- Antecedent source
- mixed
- Carrier category
- online resource
- Carrier category code
-
- cr
- Carrier MARC source
- rdacarrier.
- Color
- not applicable
- Content category
- text
- Content type code
-
- txt
- Content type MARC source
- rdacontent.
- Contents
- Introduction and equation-solving background -- Solution mappings for variational problems -- Set-valued analysis of solution mappings -- Regularity properties through generalized derivatives -- Metric regularity in infinite dimensions -- Applications in numerical variational analysis
- Control code
- 978-1-4939-1037-3
- Dimensions
- unknown
- Edition
- Second edition 2014.
- Extent
- XXVIII, 466 pages 14 illustrations, 1 illustrations in color.
- File format
- multiple file formats
- Form of item
- electronic
- Governing access note
- Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
- Isbn
- 9781493910373
- Level of compression
- uncompressed
- Media category
- computer
- Media MARC source
- rdamedia.
- Media type code
-
- c
- Other control number
- 10.1007/978-1-4939-1037-3
- Other physical details
- online resource.
- Quality assurance targets
- absent
- Reformatting quality
- access
- Specific material designation
- remote
- System control number
- (OCoLC)1086457926
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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.eui.eu/portal/Implicit-Functions-and-Solution-Mappings--A-View/iC1ljabA6oM/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.eui.eu/portal/Implicit-Functions-and-Solution-Mappings--A-View/iC1ljabA6oM/">Implicit Functions and Solution Mappings : A View from Variational Analysis, by Asen L. Dontchev, R. Tyrrell Rockafellar, (electronic resource)</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.eui.eu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.eui.eu/">European University Institute</a></span></span></span></span></div>