{"product_id":"numerical-methods-for-general-and-daniel-kressner-9783540245469","title":"Numerical Methods for General and Structured Eigenvalue Problems","description":"The purpose of this book is to describe recent developments in solving eig- value problems, in particular with respect to the QR and QZ algorithms as well as structured matrices. Outline Mathematically speaking, the eigenvalues of a square matrix A are the roots of its characteristic polynomial det(A I). An invariant subspace is a linear subspace that stays invariant under the action of A. In realistic applications, it usually takes a long process of simpli?cations, linearizations and discreti- tions before one comes up with the problem of computing the eigenvalues of a matrix. In some cases, the eigenvalues have an intrinsic meaning, e.g., for the expected long-time behavior of a dynamical system; in others they are just meaningless intermediate values of a computational method. The same applies to invariant subspaces, which for example can describe sets of initial states for which a dynamical system produces exponentially decaying states. Computing eigenvalues has a long history, dating back to at least 1846 when Jacobi [172] wrote his famous paper on solving symmetric eigenvalue problems. Detailed historical accounts of this subject can be found in two papers by Golub and van der Vorst [140, 327].\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Daniel Kressner\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 3540245464\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9783540245469\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Springer\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 07\/15\/2005\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 258\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.94lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.26h x 6.59w x 0.64d","brand":"Daniel Kressner","offers":[{"title":"Paperback","offer_id":47424562036991,"sku":"9783540245469","price":109.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_74fd2edd-8d57-4dbb-b671-abf0151ccc79.jpg?v=1761531054","url":"https:\/\/www.whiterainbookhouse.com\/products\/numerical-methods-for-general-and-daniel-kressner-9783540245469","provider":"WR Book House","version":"1.0","type":"link"}