| 書目名稱 | Ger?gorin and His Circles | | 編輯 | Richard S. Varga | | 視頻video | http://file.papertrans.cn/385/384485/384485.mp4 | | 概述 | Includes supplementary material: | | 叢書名稱 | Springer Series in Computational Mathematics | | 圖書封面 |  | | 描述 | TheGer? sgorin CircleTheorem, averywell-known resultin linear algebra today, stems from the paper of S. Ger? sgorin in 1931 (which is reproduced in AppendixD)where,givenanarbitraryn×ncomplexmatrix,easyarithmetic operationsontheentriesofthematrixproducendisks,inthecomplexplane, whose union contains all eigenvalues of the given matrix. The beauty and simplicity of Ger? sgorin’s Theorem has undoubtedly inspired further research in this area, resulting in hundreds of papers in which the name “Ger? sgorin” appears. The goal of this book is to give a careful and up-to-date treatment of various aspects of this topic. The author ?rst learned of Ger? sgorin’s results from friendly conversations with Olga Taussky-Todd and John Todd, which inspired me to work in this area.Olgawasclearlypassionateaboutlinearalgebraandmatrixtheory,and her path-?nding results in these areas were like a magnet to many, including this author! It is the author’s hope that the results, presented here on topics related to Ger? sgorin’s Theorem, will be of interest to many. This book is a?ectionately dedicated to my mentors, Olga Taussky-Todd and John Todd. There are two main recurring themes which the reader will see | | 出版日期 | Book 2004 | | 關(guān)鍵詞 | Area; Brauer ovals of Cassini; G-functions; Gershgorin disks; Householder sets; M- and H-matrices; Partiti | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-642-17798-9 | | isbn_softcover | 978-3-642-05928-5 | | isbn_ebook | 978-3-642-17798-9Series ISSN 0179-3632 Series E-ISSN 2198-3712 | | issn_series | 0179-3632 | | copyright | Springer-Verlag Berlin Heidelberg 2004 |
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