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Numerical linear algebra /
Numerical Linear Algebra is a concise, insightful, and elegant introduction to the field of numerical linear algebra. Designed for use as a stand-alone textbook in a one-semester, graduate-level course in the topic, it has already been class-tested by MIT and Cornell graduate students from all field...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Autor Corporativo: | |
| Otros Autores: | |
| Formato: | Libro |
| Idioma: | Inglés |
| Publicado: |
Philadelphia, Pa. :
Society for Industrial and Applied Mathematics,
1997.
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| Temas: | |
| Acceso en línea: | Description Description *** |
MARC
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| 005 | 20120127101700.0 | ||
| 008 | 090126s1997 paua 001 0 eng c | ||
| 010 | |a 96052458 | ||
| 020 | |a 0898713617 | ||
| 040 | |a DLC |c DLC | ||
| 050 | 4 | |a QA184 |b T7.43 | |
| 082 | 0 | 0 | |a 512.5 |b T78 |
| 090 | |a QA184 |b T7.43 | ||
| 099 | 0 | |a QA184 |a .T74 1997 | |
| 100 | 1 | |a Trefethen, Lloyd Nicholas | |
| 245 | 1 | 0 | |a Numerical linear algebra / |c Lloyd N. Trefethen, David Bau. |
| 260 | |a Philadelphia, Pa. : |b Society for Industrial and Applied Mathematics, |c 1997. | ||
| 300 | |a xii, 361 p. : |b il. ; |c 25 cm. | ||
| 504 | |a Includes bibliographical references (p. 343-352) and index. | ||
| 505 | 0 | |t Preface; |t Acknowledgments; |g Part I: |t Fundamentals. |g 1. |t Matrix-Vector Multiplication; |g 2. |t Orthogonal Vectors and Matrices; |g 3. |t Norms; |g 4. |t The Singular Value Decomposition; |g 5. |t More on the SVD; |g Part II: |t QR Factorization and Least Squares. |g 6. |t Projectors; |g 7. |t QR Factorization; |g 1. |t Gram-Schmidt Orthogonalization; |g 1. |t MATLAB; |g 10. |t Householder Triangularization; |g 11. |t Least Squares Problems; |g Part III: |t Conditioning and Stability. |g 12. |t Conditioning and Condition Numbers; |g 13. |t Floating Point Arithmetic; |g 14. |t Stability; |g 15. |t More on Stability; |g 16. |t Stability of Householder Triangularization; |g 17. |t Stability of Back Substitution; |g 18. |t Conditioning of Least Squares Problems; |g 19. |t Stability of Least Squares Algorithms; | |
| 505 | 8 | 0 | |g Part IV: |t Systems of Equations. |g 20. |t Taussian Elimination; |g 21. |t Pivoting; |g 22. |t Stability of Gaussian Elimination; |g 23. |t Cholesky Factorization; |g Part V: |t Eigenvalues. |g 24. |t Eigenvalue Problems; |g 25. |t Overview of Eigenvalue Algorithms; |g 26. |t Reduction to Hessenberg or Tridiagonal Form; |g 27. |t Rayleigh Quotient, Inverse Iteration; |g 28. |t QR Algorithm without Shifts; |g 29. |t QR Algorithm with Shifts; Lecture |g 30. |t Other Eigenvalue Algorithms; Lecture |g 31. |t Computing the SVD; |g Part VI: |t Iterative Methods. |g 32. |t Overview of Iterative Methods; |g 33. |t The Arnoldi Iteration; |g 34. |t How Arnoldi Locates Eigenvalues; |g 35. |t GMRES; |g 36. |t The Lanczos Iteration; |g 37. |t From Lanczos to Gauss Quadrature; |g 38. |t Conjugate Gradients; |g 39. |t Biorthogonalization Methods; |g 40. |t Preconditioning; |g Appendix : |t The Definition of Numerical Analysis; |t Notes; |t Bibliography; |t Index. |
| 520 | 0 | |a Numerical Linear Algebra is a concise, insightful, and elegant introduction to the field of numerical linear algebra. Designed for use as a stand-alone textbook in a one-semester, graduate-level course in the topic, it has already been class-tested by MIT and Cornell graduate students from all fields of mathematics, engineering, and the physical sciences. The authors' clear, inviting style and evident love of the field, along with their eloquent presentation of the most fundamental ideas in numerical linear algebra, make it popular with teachers and students alike. Numerical Linear Algebra aims to expand the reader's view of the field and to present the core, standard material in a novel way. It is a perfect companion volume to the encyclopedic treatment of the topic that already exists in Golub and Van Loan's now-classic Matrix Computations. All of the most important topics in the field, including iterative methods for systems of equations and eigenvalue problems and the underlying principles of conditioning and stability, are covered. Trefethen and Bau offer a fresh perspective on these and other topics, such as an emphasis on connections with polynomial approximation in the complex plane. Numerical Linear Algebra is presented in the form of 40 lectures, each of which focuses on one or two central ideas. Throughout, the authors emphasize the unity between topics, never allowing the reader to get lost in details and technicalities. The book breaks with tradition by beginning not with Gaussian elimination, but with the QR factorization a more important and fresher idea for students, and the thread that connects most of the algorithms of numerical linear algebra, including methods for least squares, eigenvalue, and singular value problems, as well as iterative methods for all of these and for systems of equations. Students will benefit from the many exercises that follow each lecture. | |
| 538 | |a CBI. Departamento de Matematicas , Acervo para Profesores, Dr. Tomas Viveros Garcia, Pifi 3255841, Feb. 20, 2006 | ||
| 538 | |a Comunidad/CBI/Presupuesto Biblioteca 156.01.01.92/ICL20070100/IBI20070122/COBI. Fac-15045/[w248792 c.2/$803.00/w248793 c.3/$803.00/w248794 c.4/$803.00] | ||
| 650 | 0 | |a Álgebra lineal | |
| 650 | 0 | |a Numerical calculations. | |
| 650 | 4 | |a Algebra lineal. | |
| 650 | 4 | |a Cálculo numérico | |
| 700 | 1 | |a Bau, David. | |
| 710 | 2 | |a Society for Industrial and Applied Mathematics. | |
| 856 | 4 | 1 | |z Description |u http://www.ec-securehost.com/SIAM/ot50.html |
| 856 | 4 | 1 | |z Description *** |u http://www.campusi.com/isbn_0898713617.htm |
| 905 | |a LIBROS | ||
| 938 | |a CBI |a Departamento de Matematicas , |a Acervo para Profesores de , |a Dr. Tomas Viveros Garcia, |b Pifi 3255841 |d Society for Industrial and Applied Mathematics, |d No de Factura: , |e Febrero 20, 2006 |e 53.00 USD |e . | ||
| 938 | |a Comunidad |c CBI |d Presupuesto Biblioteca 156.01.01.92 |e ICL20070100 |f IBI20070122 | ||
| 949 | |a Biblioteca UAM Iztapalapa |b Colección General |c QA184 T7.43 | ||