Kostenloser Versand
Bequem zahlen
Wir sind gerne für Sie daThe 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].
Produkteigenschaften
- Artikelnummer: 9783540245469
- Medium: Buch
- ISBN: 978-3-540-24546-9
- Verlag: Springer
- Erscheinungstermin: 15.07.2005
- Sprache(n): Englisch
- Auflage: 1. Auflage 2005
- Serie: Lecture Notes in Computational Science and Engineering
- Produktform: Kartoniert
- Gewicht: 880 g
- Seiten: 258
- Format (B x H): 155 x 235 mm
- Ausgabetyp: Kein, Unbekannt