{"product_id":"the-matrix-eigenvalue-problem-gr-and-krylov-subspace-methods-paperback-softback-9780898716412","title":"The Matrix Eigenvalue Problem; GR and Krylov Subspace Methods (Paperback \/ softback) 9780898716412","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eThe Matrix Eigenvalue Problem\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eGR and Krylov Subspace Methods\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cem\u003eAn in-depth, theoretical discussion of the two most important classes of algorithms for solving matrix eigenvalue problems.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eDavid S.  Watkins (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780898716412, Society for Industrial and Applied Mathematics\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback \/ softback, published 31 January 2008\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e456 pages\u003cbr\u003e25.4 x 17.4 x 2.3 cm, 0.756 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e'This is an excellent exposition of the state of the art in eigenvalue computations. It systematically combines the theory and the computational methods for structured and unstructured problems in a unique framework.' Volker Mehrmann, Technische Universität Berlin\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThe first in-depth, complete, and unified theoretical discussion of the two most important classes of algorithms for solving matrix eigenvalue problems: QR-like algorithms for dense problems and Krylov subspace methods for sparse problems. The author discusses the theory of the generic GR algorithm, including special cases (for example, QR, SR, HR), and the development of Krylov subspace methods. This book also addresses a generic Krylov process and the Arnoldi and various Lanczos algorithms, which are obtained as special cases. Theoretical and computational exercises guide students, step by step, to the results. Downloadable MATLAB programs, compiled by the author, are available on a supplementary Web site. Readers of this book are expected to be familiar with the basic ideas of linear algebra and to have had some experience with matrix computations. Ideal for graduate students, or as a reference book for researchers and users of eigenvalue codes.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface\u003cbr\u003e 1. Preliminary material\u003cbr\u003e 2. Basic theory of Eigensystems\u003cbr\u003e 3. Elimination\u003cbr\u003e 4. Iteration\u003cbr\u003e 5. Convergence\u003cbr\u003e 6. The generalized Eigenvalue problem\u003cbr\u003e 7. Inside the bulge\u003cbr\u003e 8. Product Eigenvalue problems\u003cbr\u003e 9. Krylov subspace methods\u003cbr\u003e Bibliography\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Numerical analysis [\u003ca title=\"See our other books on Numerical analysis\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Numerical%20analysis%20%5BPBKS%5D%22\"\u003ePBKS\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Society for Industrial and Applied Mathematics","offers":[{"title":"Brand New","offer_id":52472087707928,"sku":"9780898716412","price":79.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9780898716412i.jpg?v=1785716695","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/the-matrix-eigenvalue-problem-gr-and-krylov-subspace-methods-paperback-softback-9780898716412","provider":"Freshly Printed Books","version":"1.0","type":"link"}