Matrices, moments, and quadrature with applications / Gene H. Golub and Gérard Meurant.
This computationally oriented work describes and explains the mathematical relationships among matrices, moments, orthogonal polynomials, quadrature rules, and the Lanczos and conjugate gradient algorithms.
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Full Text (via ProQuest) |
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Main Author: | |
Other Authors: | |
Format: | eBook |
Language: | English |
Published: |
Princeton, N.J. ; Oxford :
Princeton University Press,
[2010]
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Series: | Princeton series in applied mathematics.
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Subjects: |
MARC
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100 | 1 | |a Golub, Gene H. |q (Gene Howard), |d 1932-2007. | |
245 | 1 | 0 | |a Matrices, moments, and quadrature with applications / |c Gene H. Golub and Gérard Meurant. |
264 | 1 | |a Princeton, N.J. ; |a Oxford : |b Princeton University Press, |c [2010] | |
264 | 4 | |c ©2010. | |
300 | |a 1 online resource (ix, 363 pages) : |b illustrations. | ||
336 | |a text |b txt |2 rdacontent. | ||
337 | |a computer |b c |2 rdamedia. | ||
338 | |a online resource |b cr |2 rdacarrier. | ||
490 | 1 | |a Princeton series in applied mathematics. | |
504 | |a Includes bibliographical references (pages 335-359) and index. | ||
505 | 0 | |a Preliminaries; Contents; Preface; Chapter 1. Introduction; Chapter 2. Orthogonal Polynomials; Chapter 3. Properties of Tridiagonal Matrices; Chapter 4. The Lanczos and Conjugate Gradient Algorithms; Chapter 5. Computation of the Jacobi Matrices; Chapter 6. Gauss Quadrature; Chapter 7. Bounds for Bilinear Forms uT f(A)v; Chapter 8. Extensions to Nonsymmetric Matrices; Chapter 9. Solving Secular Equations; Chapter 10. Examples of Gauss Quadrature Rules; Chapter 11. Bounds and Estimates for Elements of Functions of Matrices. | |
520 | 8 | |a This computationally oriented work describes and explains the mathematical relationships among matrices, moments, orthogonal polynomials, quadrature rules, and the Lanczos and conjugate gradient algorithms. | |
588 | 0 | |a Print version record. | |
650 | 0 | |a Matrices. | |
650 | 0 | |a Numerical analysis. | |
650 | 7 | |a Matrices. |2 fast |0 (OCoLC)fst01012399. | |
650 | 7 | |a Numerical analysis. |2 fast |0 (OCoLC)fst01041273. | |
700 | 1 | |a Meurant, Gérard A. | |
776 | 0 | 8 | |i Print version: |a Golub, Gene H. (Gene Howard), 1932-2007. |t Matrices, moments, and quadrature with applications. |d Princeton, N.J. ; Oxford : Princeton University Press, ©2010 |z 9780691143415 |w (OCoLC)461270987. |
830 | 0 | |a Princeton series in applied mathematics. | |
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907 | |a .b109618233 |b 11-30-21 |c 04-13-20 | ||
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