| 书目名称 | Introduction to Numerical Analysis | | 编辑 | J. Stoer,R. Bulirsch | | 视频video | | | 丛书名称 | Texts in Applied Mathematics | | 图书封面 |  | | 描述 | On the occasion of this new edition, the text was enlarged by several new sections. Two sections on B-splines and their computation were added to the chapter on spline functions: Due to their special properties, their flexibility, and the availability of well-tested programs for their computation, B-splines play an important role in many applications. Also, the authors followed suggestions by many readers to supplement the chapter on elimination methods with a section dealing with the solution of large sparse systems of linear equations. Even though such systems are usually solved by iterative methods, the realm of elimination methods has been widely extended due to powerful techniques for handling sparse matrices. We will explain some of these techniques in connection with the Cholesky algorithm for solving positive definite linear systems. The chapter on eigenvalue problems was enlarged by a section on the Lanczos algorithm; the sections on the LR and QR algorithm were rewritten and now contain a description of implicit shift techniques. In order to some extent take into account the progress in the area of ordinary differential equations, a new section on implicit differential eq | | 出版日期 | Textbook 19932nd edition | | 关键词 | Eigenvalue; Mathematica; algebra; calculus; differential equation; integration; interpolation; minimum; nume | | 版次 | 2 | | doi | https://doi.org/10.1007/978-1-4757-2272-7 | | isbn_ebook | 978-1-4757-2272-7Series ISSN 0939-2475 Series E-ISSN 2196-9949 | | issn_series | 0939-2475 | | copyright | Springer-Verlag New York 1993 |
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发表于 2025-3-21 18:12:40
