| 书目名称 | Separable Type Representations of Matrices and Fast Algorithms |
| 副标题 | Volume 2 Eigenvalue |
| 编辑 | Yuli Eidelman,Israel Gohberg,Iulian Haimovici |
| 视频video | |
| 概述 | Self-contained monograph with material developed over the last 30 years.Systematic theoretical and computational study of several types of generalizations of separable matrices.Many illustrative examp |
| 丛书名称 | Operator Theory: Advances and Applications |
| 图书封面 |  |
| 描述 | .This two-volume work presents a systematic theoretical and computational study of several types of generalizations of separable matrices. The main attention is paid to fast algorithms (many of linear complexity) for matrices in semiseparable, quasiseparable, band and companion form. The work is focused on algorithms of multiplication, inversion and description of eigenstructure and includes a large number of illustrative examples throughout the different chapters. .The second volume, consisting of four parts, addresses the eigenvalue problem for matrices with quasiseparable structure and applications to the polynomial root finding problem. In the first part the properties of the characteristic polynomials of principal leading submatrices, the structure of eigenspaces and the basic methods to compute eigenvalues are studied in detail for matrices with quasiseparable representation of the first order. The second part is devoted to the divide and conquer method, with the main algorithms being derived also for matrices with quasiseparable representation of order one. The QR iteration method for some classes of matrices with quasiseparable of any order representations is studied in the |
| 出版日期 | Book 2014 |
| 关键词 | Eigenvalue problems; Fast algorithms; Polynomial root finder problem; Quasiseparable representations; St |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-0348-0612-1 |
| isbn_ebook | 978-3-0348-0612-1Series ISSN 0255-0156 Series E-ISSN 2296-4878 |
| issn_series | 0255-0156 |
| copyright | Springer Basel 2014 |
发表于 2025-3-21 19:45:55
