Nonlinear Eigenvalue Problems: Newton-type Methods and Nonlinear Rayleigh Functionals - Kathrin Schreiber - Kirjat - VDM Verlag Dr. Müller - 9783639062519 - sunnuntai 20. heinäkuuta 2008
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Nonlinear Eigenvalue Problems: Newton-type Methods and Nonlinear Rayleigh Functionals

Kathrin Schreiber

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Fr. 78,99

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Nonlinear Eigenvalue Problems: Newton-type Methods and Nonlinear Rayleigh Functionals

Nonlinear eigenvalue problems arise in many fields of natural and engineering sciences. Theoretical and practical results are scattered in the literature and in most cases they have been developed for a certain type of problem. In this book we consider the most general nonlinear eigenvalue problem without assumptions on the structure or spectrum and provide basic facts. Nonlinear Rayleigh functionals are analyzed in detail and in different forms. New methods for the computation of eigenvalues and -vectors are designed based on Rayleigh functionals, and well-known Jacobi--Davidson methods are discussed. Asymptotically cubic convergence of the two-sided nonlinear Jacobi--Davidson method is shown. The special case of nonlinear complex symmetric eigenvalue problems is examined. We show the appropriate definition of a complex symmetricRayleigh functional, which is used to derive a complex symmetric Rayleigh functionaliteration which converges locally cubically, and the complex symmetric residual inverse iteration method. All methods are also illustrated numerically. The book is addressed to mathematicians as well as engineers interested in nonlinear eigenvalue problems.

Media Kirjat     Paperback Book   (Kirja pehmeillä kansilla ja liimatulla selällä)
Julkaisupäivämäärä sunnuntai 20. heinäkuuta 2008
ISBN13 9783639062519
Tuottaja VDM Verlag Dr. Müller
Sivujen määrä 208
Mitta 281 g
Kieli English