| 書目名稱 | Structured Matrices and Polynomials | | 副標(biāo)題 | Unified Superfast Al | | 編輯 | Victor Y. Pan | | 視頻video | http://file.papertrans.cn/881/880312/880312.mp4 | | 圖書封面 |  | | 描述 | Structured matrices serve as a natural bridge between the areas of algebraic computations with polynomials and numerical matrix computations, allowing cross-fertilization of both fields. This book covers most fundamental numerical and algebraic computations with Toeplitz, Hankel, Vandermonde, Cauchy, and other popular structured matrices. Throughout the computations, the matrices are represented by their compressed images, called displacements, enabling both a unified treatment of various matrix structures and dramatic saving of computer time and memory. The resulting superfast algorithms allow further dramatic parallel acceleration using FFT and fast sine and cosine transforms.Included are specific applications to other fields, in particular, superfast solutions to: various fundamental problems of computer algebra; the tangential Nevanlinna--Pick and matrix Nehari problemsThe primary intended readership for this work includes researchers, algorithm designers, and advanced graduate students in the fields of computations with structured matrices, computer algebra, and numerical rational interpolation. The book goes beyond research frontiers and, apart from very recent research artic | | 出版日期 | Textbook 2001 | | 關(guān)鍵詞 | Interpolation; Matrix; algebra; algorithms; computer; computer algebra; linear algebra; matrix theory | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4612-0129-8 | | isbn_softcover | 978-1-4612-6625-9 | | isbn_ebook | 978-1-4612-0129-8 | | copyright | Birkh?user Boston 2001 |
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