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  • Language: English

    Published by Springer Nature Switzerland AG, CH, 2020

    3030552500 / 9783030552503

    Series: Book 1 of 33 - Springer Computational Mathematics

    • Hardcover

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    Hardback. Condition: New. 2020 ed. This book aims to give an encyclopedic overview of the state-of-the-art of Krylov subspace iterative methods for solving nonsymmetric systems of algebraic linear equations and to study their mathematical properties.  Solving systems of algebraic linear equations is among the most frequent problems in scientific computing; it is used in many disciplines such as physics, engineering, chemistry, biology, and several others. Krylov methods have progressively emerged as the iterative methods with the highest efficiency while being very robust for solving large linear systems; they may be expected to remain so, independent of progress in modern computer-related fields such as parallel and high performance computing. The mathematical properties of the methods are described and analyzed along with their behavior in finite precision arithmetic. A number of numerical examples demonstrate the properties and the behavior of the described methods. Also considered are the methods' implementations and coding as Matlab®-like functions. Methods which became popular recently are considered in the general framework of Q-OR (quasi-orthogonal )/Q-MR (quasi-minimum) residual methods.This book can be useful for both practitioners and for readers who are more interested in theory. Together with a review of the state-of-the-art, it presents a number of recent theoretical results of the authors, some of them unpublished, as well as a few original algorithms. Some of the derived formulas might be useful for the design of possible new methods or for future analysis. For the more applied user, the book gives an up-to-date overview of the majority of the available Krylov methods for nonsymmetric linear systems, including well-known convergence properties and, as we said above, template codes that can serve as the base for more individualized and elaborate implementations.…

  • Language: English

    Published by Springer Nature Switzerland AG, CH, 2020

    3030552500 / 9783030552503

    Series: Book 1 of 33 - Springer Computational Mathematics

    • Hardcover

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    Hardback. Condition: New. 2020 ed. This book aims to give an encyclopedic overview of the state-of-the-art of Krylov subspace iterative methods for solving nonsymmetric systems of algebraic linear equations and to study their mathematical properties.  Solving systems of algebraic linear equations is among the most frequent problems in scientific computing; it is used in many disciplines such as physics, engineering, chemistry, biology, and several others. Krylov methods have progressively emerged as the iterative methods with the highest efficiency while being very robust for solving large linear systems; they may be expected to remain so, independent of progress in modern computer-related fields such as parallel and high performance computing. The mathematical properties of the methods are described and analyzed along with their behavior in finite precision arithmetic. A number of numerical examples demonstrate the properties and the behavior of the described methods. Also considered are the methods' implementations and coding as Matlab®-like functions. Methods which became popular recently are considered in the general framework of Q-OR (quasi-orthogonal )/Q-MR (quasi-minimum) residual methods.This book can be useful for both practitioners and for readers who are more interested in theory. Together with a review of the state-of-the-art, it presents a number of recent theoretical results of the authors, some of them unpublished, as well as a few original algorithms. Some of the derived formulas might be useful for the design of possible new methods or for future analysis. For the more applied user, the book gives an up-to-date overview of the majority of the available Krylov methods for nonsymmetric linear systems, including well-known convergence properties and, as we said above, template codes that can serve as the base for more individualized and elaborate implementations.…

  • Language: English

    Published by Springer, 2021

    3030552535 / 9783030552534

    Series: Book 1 of 33 - Springer Computational Mathematics

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  • Language: English

    Published by Springer, 2020

    3030552500 / 9783030552503

    Series: Book 1 of 33 - Springer Computational Mathematics

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  • Language: English

    Published by Springer, 2021

    3030552535 / 9783030552534

    Series: Book 1 of 33 - Springer Computational Mathematics

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  • Language: English

    Published by Springer, 2020

    3030552500 / 9783030552503

    Series: Book 1 of 33 - Springer Computational Mathematics

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    Condition: New. 1st ed. 2020 edition NO-PA16APR2015-KAP.

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  • Language: English

    Published by Springer Nature, 2020

    3030552500 / 9783030552503

    Series: Book 1 of 33 - Springer Computational Mathematics

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    Hardcover. Condition: Brand New. 700 pages. 9.25x6.10x9.21 inches. In Stock.

  • Language: English

    Published by Springer International Publishing Okt 2021, 2021

    3030552535 / 9783030552534

    Series: Book 1 of 33 - Springer Computational Mathematics

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    Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book aims to give an encyclopedic overview of the state-of-the-art of Krylov subspace iterative methods for solving nonsymmetric systems of algebraic linear equations and to study their mathematical properties. Solving systems of algebraic linear equations is among the most frequent problems in scientific computing; it is used in many disciplines such as physics, engineering, chemistry, biology, and several others. Krylov methods have progressively emerged as the iterative methods with the highest efficiency while being very robust for solving large linear systems; they may be expected to remain so, independent of progress in modern computer-related fields such as parallel and high performance computing. The mathematical properties of the methods are described and analyzed along with their behavior in finite precision arithmetic. A number of numerical examples demonstrate the properties and the behavior of the described methods. Also considered are the methods' implementations and coding as Matlab®-like functions. Methods which became popular recently are considered in the general framework of Q-OR (quasi-orthogonal )/Q-MR (quasi-minimum) residual methods.This book can be useful for both practitioners and for readers who are more interested in theory. Together with a review of the state-of-the-art, it presents a number of recent theoretical results of the authors, some of them unpublished, as well as a few original algorithms. Some of the derived formulas might be useful for the design of possible new methods or for future analysis. For the more applied user, the book gives an up-to-date overview of the majority of the available Krylov methods for nonsymmetric linear systems, including well-known convergence properties and, as we said above, template codes that can serve as the base for more individualized and elaborate implementations. 700 pp. Englisch.…

  • Language: English

    Published by Springer International Publishing Okt 2020, 2020

    3030552500 / 9783030552503

    Series: Book 1 of 33 - Springer Computational Mathematics

    • Hardcover
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    Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book aims to give an encyclopedic overview of the state-of-the-art of Krylov subspace iterative methods for solving nonsymmetric systems of algebraic linear equations and to study their mathematical properties. Solving systems of algebraic linear equations is among the most frequent problems in scientific computing; it is used in many disciplines such as physics, engineering, chemistry, biology, and several others. Krylov methods have progressively emerged as the iterative methods with the highest efficiency while being very robust for solving large linear systems; they may be expected to remain so, independent of progress in modern computer-related fields such as parallel and high performance computing. The mathematical properties of the methods are described and analyzed along with their behavior in finite precision arithmetic. A number of numerical examples demonstrate the properties and the behavior of the described methods. Also considered are the methods' implementations and coding as Matlab®-like functions. Methods which became popular recently are considered in the general framework of Q-OR (quasi-orthogonal )/Q-MR (quasi-minimum) residual methods.This book can be useful for both practitioners and for readers who are more interested in theory. Together with a review of the state-of-the-art, it presents a number of recent theoretical results of the authors, some of them unpublished, as well as a few original algorithms. Some of the derived formulas might be useful for the design of possible new methods or for future analysis. For the more applied user, the book gives an up-to-date overview of the majority of the available Krylov methods for nonsymmetric linear systems, including well-known convergence properties and, as we said above, template codes that can serve as the base for more individualized and elaborate implementations. 700 pp. Englisch.…

  • Language: English

    Published by Springer International Publishing, 2021

    3030552535 / 9783030552534

    Series: Book 1 of 33 - Springer Computational Mathematics

    • Softcover
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    Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Contains an overview of state-of-the-art Krylov subspace methods including new theoretical convergence resultsEmphasis is placed on the construction of examples with prescribed convergence histories for many of the described methodsMatlab c.…

  • Language: English

    Published by Springer International Publishing, 2020

    3030552500 / 9783030552503

    Series: Book 1 of 33 - Springer Computational Mathematics

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    Gebunden. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Contains an overview of state-of-the-art Krylov subspace methods including new theoretical convergence results Emphasis is placed on the construction of examples with prescribed convergence histories for many of the described methods.…

  • Language: English

    Published by Palgrave Macmillan, 2020

    3030552500 / 9783030552503

    Series: Book 1 of 33 - Springer Computational Mathematics

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    Buch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - This book aims to give an encyclopedic overview of the state-of-the-art of Krylov subspace iterative methods for solving nonsymmetric systems of algebraic linear equations and to study their mathematical properties. Solving systems of algebraic linear equations is among the most frequent problems in scientific computing; it is used in many disciplines such as physics, engineering, chemistry, biology, and several others. Krylov methods have progressively emerged as the iterative methods with the highest efficiency while being very robust for solving large linear systems; they may be expected to remain so, independent of progress in modern computer-related fields such as parallel and high performance computing. The mathematical properties of the methods are described and analyzed along with their behavior in finite precision arithmetic. A number of numerical examples demonstrate the properties and the behavior of the described methods. Also considered are the methods' implementations and coding as Matlab®-like functions. Methods which became popular recently are considered in the general framework of Q-OR (quasi-orthogonal )/Q-MR (quasi-minimum) residual methods.This book can be useful for both practitioners and for readers who are more interested in theory. Together with a review of the state-of-the-art, it presents a number of recent theoretical results of the authors, some of them unpublished, as well as a few original algorithms. Some of the derived formulas might be useful for the design of possible new methods or for future analysis. For the more applied user, the book gives an up-to-date overview of the majority of the available Krylov methods for nonsymmetric linear systems, including well-known convergence properties and, as we said above, template codes that can serve as the base for more individualized and elaborate implementations.…

  • Language: English

    Published by Springer, 2020

    3030552500 / 9783030552503

    Series: Book 1 of 33 - Springer Computational Mathematics

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  • Language: English

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    3030552535 / 9783030552534

    Series: Book 1 of 33 - Springer Computational Mathematics

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  • Language: English

    Published by Springer, 2020

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  • Language: English

    Published by Springer, 2021

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