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

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

издательство Книга по Требованию Математический анализ. Кратные и криволинейные интегралы. Задачи, решения
Cтраниц 208        мягкая обложка       
Аннотация:The special case of nonlinear complex symmetric eigenvalue problems is examined. New methods for the computation of eigenvalues and -vectors are designed based on Rayleigh functionals, and well-known Jacobi--Davidson methods are discussed. In this book we consider the most general nonlinear eigenvalue problem without assumptions on the structure or spectrum and provide basic facts. The book is addressed to mathematicians as well as engineers interested in nonlinear eigenvalue problems. Nonlinear eigenvalue problems arise in many fields of natural and engineering sciences. Nonlinear Rayleigh functionals are analyzed in detail and in different forms. Asymptotically cubic convergence of the two-sided nonlinear Jacobi--Davidson method is shown. All methods are also illustrated numerically. We show the appropriate definition of a complex symmetric Rayleigh functional, which is used to derive a complex symmetric Rayleigh functional iteration which converges locally cubically, and the complex symmetric residual inverse iteration method. Theoretical and practical results are scattered in the literature and in most cases they have been developed for a certain type of problem.
Издательство: Книга по Требованию
Год:2008
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3233 руб
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Поиск: Newton-type Methods and Nonlinear Rayleigh Functionals Nonlinear Eigenvalue Problems.
НОВЫЙ ГОД СИМВОЛ 2013 ГОДАУКРАШЕНИЯ
КАРНАВАЛ НА НОВЫЙ ГОД РАСПРОДАЖА
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