| 书目名称 | Discrete Hamiltonian Systems |
| 副标题 | Difference Equations |
| 编辑 | Calvin D. Ahlbrandt,Allan C. Peterson |
| 视频video | |
| 丛书名称 | Texts in the Mathematical Sciences |
| 图书封面 |  |
| 描述 | This book should be accessible to students who have had a first course in matrix theory. The existence and uniqueness theorem of Chapter 4 requires the implicit function theorem, but we give a self-contained constructive proof ofthat theorem. The reader willing to accept the implicit function theorem can read the book without an advanced calculus background. Chapter 8 uses the Moore-Penrose pseudo-inverse, but is accessible to students who have facility with matrices. Exercises are placed at those points in the text where they are relevant. For U. S. universities, we intend for the book to be used at the senior undergraduate level or beginning graduate level. Chapter 2, which is on continued fractions, is not essential to the material of the remaining chapters, but is intimately related to the remaining material. Continued fractions provide closed form representations of the extreme solutions of some discrete matrix Riccati equations. Continued fractions solution methods for Riccati difference equations provide an approach analogous to series solution methods for linear differential equations. The book develops several topics which have not been available at this level. In particul |
| 出版日期 | Book 1996 |
| 关键词 | Matrix; Matrix Theory; Microsoft Access; Optimal control; boundary element method; chemistry; continued fr |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-1-4757-2467-7 |
| isbn_softcover | 978-1-4419-4763-5 |
| isbn_ebook | 978-1-4757-2467-7Series ISSN 0927-4529 |
| issn_series | 0927-4529 |
| copyright | Springer Science+Business Media Dordrecht 1996 |
发表于 2025-3-21 16:14:50
