The Resource Iterative Solution of Large Sparse Systems of Equations, by Wolfgang Hackbusch, (electronic resource)
Iterative Solution of Large Sparse Systems of Equations, by Wolfgang Hackbusch, (electronic resource)
Resource Information
The item Iterative Solution of Large Sparse Systems of Equations, by Wolfgang Hackbusch, (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 Iterative Solution of Large Sparse Systems of Equations, by Wolfgang Hackbusch, (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
 In the second edition of this classic monograph, complete with four new chapters and updated references, readers will now have access to content describing and analysing classical and modern methods with emphasis on the algebraic structure of linear iteration, which is usually ignored in other literature. The necessary amount of work increases dramatically with the size of systems, so one has to search for algorithms that most efficiently and accurately solve systems of, e.g., several million equations. The choice of algorithms depends on the special properties the matrices in practice have. An important class of large systems arises from the discretization of partial differential equations. In this case, the matrices are sparse (i.e., they contain mostly zeroes) and wellsuited to iterative algorithms. The first edition of this book grew out of a series of lectures given by the author at the ChristianAlbrecht University of Kiel to students of mathematics. The second edition includes quite novel approaches.
 Language
 eng
 Edition
 2nd ed. 2016.
 Extent
 1 online resource (XXIII, 509 pages)
 Contents

 Part I: Linear Iterations
 Introduction
 Iterative Methods
 Classical Linear Iterations in the Positive Definite Case
 Analysis of Classical Iterations Under Special Structural Conditions
 Algebra of Linear Iterations
 Analysis of Positive Definite Iterations
 Generation of Iterations. Part II: SemiIterations and Krylov Methods
 SemiIterative Methods
 Gradient Methods
 Conjugate Gradient Methods and Generalizations
 Part III: Special Iterations
 Multigrid Iterations
 Domain Decomposition and Subspace Methods
 HLU Iteration
 Tensorbased Methods
 Appendices
 Isbn
 9783319284835
 Label
 Iterative Solution of Large Sparse Systems of Equations
 Title
 Iterative Solution of Large Sparse Systems of Equations
 Statement of responsibility
 by Wolfgang Hackbusch
 Language
 eng
 Summary
 In the second edition of this classic monograph, complete with four new chapters and updated references, readers will now have access to content describing and analysing classical and modern methods with emphasis on the algebraic structure of linear iteration, which is usually ignored in other literature. The necessary amount of work increases dramatically with the size of systems, so one has to search for algorithms that most efficiently and accurately solve systems of, e.g., several million equations. The choice of algorithms depends on the special properties the matrices in practice have. An important class of large systems arises from the discretization of partial differential equations. In this case, the matrices are sparse (i.e., they contain mostly zeroes) and wellsuited to iterative algorithms. The first edition of this book grew out of a series of lectures given by the author at the ChristianAlbrecht University of Kiel to students of mathematics. The second edition includes quite novel approaches.
 Assigning source
 Provided by publisher
 http://library.link/vocab/creatorDate
 1948
 http://library.link/vocab/creatorName
 Hackbusch, W.
 Dewey number
 223
 Image bit depth
 0
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement

 Applied Mathematical Sciences,
 Springer eBooks
 Series volume
 95
 http://library.link/vocab/subjectName

 Mathematics
 Matrix theory
 Algebra
 Partial differential equations
 Numerical analysis
 Label
 Iterative Solution of Large Sparse Systems of Equations, by Wolfgang Hackbusch, (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
 Part I: Linear Iterations  Introduction  Iterative Methods  Classical Linear Iterations in the Positive Definite Case  Analysis of Classical Iterations Under Special Structural Conditions  Algebra of Linear Iterations  Analysis of Positive Definite Iterations  Generation of Iterations. Part II: SemiIterations and Krylov Methods  SemiIterative Methods  Gradient Methods  Conjugate Gradient Methods and Generalizations  Part III: Special Iterations  Multigrid Iterations  Domain Decomposition and Subspace Methods  HLU Iteration  Tensorbased Methods  Appendices
 Control code
 9783319284835
 Dimensions
 unknown
 Edition
 2nd ed. 2016.
 Extent
 1 online resource (XXIII, 509 pages)
 File format
 multiple file formats
 Form of item

 online
 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, noncommercial 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
 9783319284835
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia.
 Media type code
 c
 Other control number
 10.1007/9783319284835
 Other physical details
 26 illustrations, 11 illustrations in color.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)952572240
 Label
 Iterative Solution of Large Sparse Systems of Equations, by Wolfgang Hackbusch, (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
 Part I: Linear Iterations  Introduction  Iterative Methods  Classical Linear Iterations in the Positive Definite Case  Analysis of Classical Iterations Under Special Structural Conditions  Algebra of Linear Iterations  Analysis of Positive Definite Iterations  Generation of Iterations. Part II: SemiIterations and Krylov Methods  SemiIterative Methods  Gradient Methods  Conjugate Gradient Methods and Generalizations  Part III: Special Iterations  Multigrid Iterations  Domain Decomposition and Subspace Methods  HLU Iteration  Tensorbased Methods  Appendices
 Control code
 9783319284835
 Dimensions
 unknown
 Edition
 2nd ed. 2016.
 Extent
 1 online resource (XXIII, 509 pages)
 File format
 multiple file formats
 Form of item

 online
 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, noncommercial 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
 9783319284835
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia.
 Media type code
 c
 Other control number
 10.1007/9783319284835
 Other physical details
 26 illustrations, 11 illustrations in color.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)952572240
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