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Author: Wolfgang Hackbusch
Publisher: Springer
ISBN: 3662473240
Category : Mathematics
Languages : en
Pages : 532
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Book Description
This self-contained monograph presents matrix algorithms and their analysis. The new technique enables not only the solution of linear systems but also the approximation of matrix functions, e.g., the matrix exponential. Other applications include the solution of matrix equations, e.g., the Lyapunov or Riccati equation. The required mathematical background can be found in the appendix. The numerical treatment of fully populated large-scale matrices is usually rather costly. However, the technique of hierarchical matrices makes it possible to store matrices and to perform matrix operations approximately with almost linear cost and a controllable degree of approximation error. For important classes of matrices, the computational cost increases only logarithmically with the approximation error. The operations provided include the matrix inversion and LU decomposition. Since large-scale linear algebra problems are standard in scientific computing, the subject of hierarchical matrices is of interest to scientists in computational mathematics, physics, chemistry and engineering.
Author: Hummel
Publisher: Routledge
ISBN: 1351436732
Category : Science
Languages : en
Pages : 401
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Book Description
Written by a leading practitioner and teacher in the field of ceramic science and engineering, this outstanding text provides advanced undergraduate- and graduate-level students with a comprehensive, up-to-date Introduction to Phase Equilibria in Ceramic Systems. Building upon a concise definition of the phase rule, the book logically proceeds from one- and two-component systems through increasingly complex systems, enabling students to utilize the phase rule in real applications. Unique because of its emphasis on phase diagrams, timely because of the rising importance of ceramic applications, practical because of its pedagogical approach, Introduction to Phase Equilibria in Ceramic Systems offers end-of-chapter review problems, extensive reading lists, a solid thermodynamic foundation and clear perspectives on the special properties of ceramics as compared to metals.This authoritative volume fills a broad gap in the literature, helping undergraduate- and graduate-level students of ceramic engineering and materials science to approach this demanding subject in a rational, confident fashion. In addition, Introduction to Phase Equilibria in Ceramic Systems serves as a valuable supplement to undergraduate-level metallurgy programs.
Author:
Publisher:
ISBN:
Category : Administrative law
Languages : en
Pages : 1100
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Book Description
Special edition of the Federal Register, containing a codification of documents of general applicability and future effect ... with ancillaries.
Author: Wolfgang Hackbusch
Publisher: Springer
ISBN: 3662473240
Category : Mathematics
Languages : en
Pages : 532
Get Book Here
Book Description
This self-contained monograph presents matrix algorithms and their analysis. The new technique enables not only the solution of linear systems but also the approximation of matrix functions, e.g., the matrix exponential. Other applications include the solution of matrix equations, e.g., the Lyapunov or Riccati equation. The required mathematical background can be found in the appendix. The numerical treatment of fully populated large-scale matrices is usually rather costly. However, the technique of hierarchical matrices makes it possible to store matrices and to perform matrix operations approximately with almost linear cost and a controllable degree of approximation error. For important classes of matrices, the computational cost increases only logarithmically with the approximation error. The operations provided include the matrix inversion and LU decomposition. Since large-scale linear algebra problems are standard in scientific computing, the subject of hierarchical matrices is of interest to scientists in computational mathematics, physics, chemistry and engineering.
Author: Great Britain. Parliament
Publisher:
ISBN:
Category : Great Britain
Languages : en
Pages : 918
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Category : Municipal engineering
Languages : en
Pages : 954
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Category :
Languages : en
Pages : 96
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Author: Great Britain. Parliament. House of Commons
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Category :
Languages : en
Pages : 526
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Category : Biochemistry
Languages : en
Pages : 512
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Book Description
Vols. 36- include Proceedings of the Biochemical Society.
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Category : Aeronautics
Languages : en
Pages : 656
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Author: EduGorilla Prep Experts
Publisher: EduGorilla
ISBN:
Category : Education
Languages : en
Pages : 1856
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• Best Selling Book in English Edition for NEET UG Physics Paper Exam with objective-type questions as per the latest syllabus. • Increase your chances of selection by 16X. • NEET UG Physics Paper Study Notes Kit comes with well-structured Content & Chapter wise Practice Tests for your self evaluation • Clear exam with good grades using thoroughly Researched Content by experts.
