Numerical Linear Algebra with Applications: Using MATLAB and Octave, Second Edition provides practical knowledge on modern computational techniques for the numerical solution of linear algebra problems. The book offers a unified presentation of computation, basic algorithm analysis, and numerical methods to compute solutions. Useful to readers regardless of background, the text begins with six introductory courses to provide background for those who haven’t taken applied or theoretical linear algebra. This approach offers a thorough explanation of the issues and methods for practical computing…mehr
Numerical Linear Algebra with Applications: Using MATLAB and Octave, Second Edition provides practical knowledge on modern computational techniques for the numerical solution of linear algebra problems. The book offers a unified presentation of computation, basic algorithm analysis, and numerical methods to compute solutions. Useful to readers regardless of background, the text begins with six introductory courses to provide background for those who haven’t taken applied or theoretical linear algebra. This approach offers a thorough explanation of the issues and methods for practical computing using MATLAB as the vehicle for computation. Appropriate for advanced undergraduate and early graduate courses on numerical linear algebra, this useful textbook explores numerous applications to engineering and science.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
William Ford completed his undergraduate degree at MIT, having majored in mathematics and minored in electrical engineering. He went on to complete a Ph.D. in mathematics at the University of Illinois, Urbana-Champaign, with his thesis paper entitled "Numerical Solution of Pseudo-parabolic Partial Differential Equations," and after two years of researching and teaching within the Department of Mathematics at Clemson University he joined the faculty of the Mathematics Department at the University of the Pacific, in Stockton, California. Here he went on to become a founding member of the Department of the Computer Science. Beginning in the 1980s, he and William Topp began jointly publishing books, that included a Motorola 68000 assembly language book through D.C. Heath, a book on data structures with C++ through Prentice Hall, and a book on data structures with Java through Prentice Hall. Dr. Ford additionally developed an IDE (Integrated Development Environment) named "EZJava" to accompany the Java book and served as the Chair of the Computer Science Department until his retirement in 2014.
Inhaltsangabe
1. Matrices 2. Linear equations 3. Subspaces 4. Determinants 5. Eigenvalues and eigenvectors 6. Orthogonal vectors and matrices 7. Vector and matrix norms 8. Floating point arithmetic 9. Algorithms 10. Conditioning of problems and stability of algorithms 11. Gaussian elimination and the LU decomposition 12. Linear system applications 13. Important special systems 14. Gram-Schmidt decomposition 15. The singular value decomposition 16. Least-squares problems 17. Implementing the QR factorization 18. The algebraic eigenvalue problem 19. The symmetric eigenvalue problem 20. Basic iterative methods 21. Krylov subspace methods 22. Large sparse eigenvalue problems 23. Computing the singular value decomposition
1. Matrices 2. Linear equations 3. Subspaces 4. Determinants 5. Eigenvalues and eigenvectors 6. Orthogonal vectors and matrices 7. Vector and matrix norms 8. Floating point arithmetic 9. Algorithms 10. Conditioning of problems and stability of algorithms 11. Gaussian elimination and the LU decomposition 12. Linear system applications 13. Important special systems 14. Gram-Schmidt decomposition 15. The singular value decomposition 16. Least-squares problems 17. Implementing the QR factorization 18. The algebraic eigenvalue problem 19. The symmetric eigenvalue problem 20. Basic iterative methods 21. Krylov subspace methods 22. Large sparse eigenvalue problems 23. Computing the singular value decomposition
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