{"product_id":"numerical-methods-for-general-and-structured-eigenvalue-problems-9783540245469","title":"Numerical Methods for General and Structured Eigenvalue Problems","description":"\u003cp\u003e • Author(s): Daniel Kressner\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Springer\u003cbr\u003e • BISAC: Number Systems\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThe 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].\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Paperback","offer_id":45282099789975,"sku":"9783540245469","price":7277.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9783540245469.webp?v=1769301140","url":"https:\/\/atlanticbooks.com\/products\/numerical-methods-for-general-and-structured-eigenvalue-problems-9783540245469","provider":"Atlantic Books","version":"1.0","type":"link"}