CIRR: a Rayleigh-Ritz type method with contour integral for generalized eigenvalue problems
نویسندگان
چکیده
منابع مشابه
A Contour-integral Based Qz Algorithm for Generalized Eigenvalue Problems
Recently, a kind of eigensolvers based on contour integral were developed for computing the eigenvalues inside a given region in the complex plane. The CIRR method is a classic example among this kind of methods. In this paper, we propose a contour-integral based QZ method which is also devoted to computing partial spectrum of generalized eigenvalue problems. Our new method takes advantage of t...
متن کاملOn Rayleigh-Ritz Method in Three-Parameter Eigenvalue Problems
This paper deals with the computation of the eigenvalues of a three-parameter Sturm-Liouville problem in the form of ordinary differential equation using Rayleigh-Ritz Method, a method which is based on the principle of variational methods. This method has been effective in computing the eigenvalues of self-adjoint problems. The resulting equations obtained in applying Rayleigh-Ritz method on t...
متن کاملA numerical method for polynomial eigenvalue problems using contour integral
We propose a numerical method using contour integral to solve polynomial eigenvalue problems (PEPs). The method finds eigenvalues contained in a certain domain which is defined by a surrounding integral path. By evaluating the contour integral numerically along the path, the method reduces the original PEP into a small generalized eigenvalue problem, which has the identical eigenvalues in the d...
متن کاملParallel performance of CIRR method with complete factorization preconditioner on multi-core
We consider a parallel method for solving generalized eigenvalue problems that arise from molecular orbital calculation of the biochemistry application. Our focus is to develop scalable parallel implementations of the method that achieves high performance on multi-core clusters. In a Rayleigh-Ritz type method using a contour integral (CIRR method), the computation at each contour involves linea...
متن کاملNonlinear Rayleigh-ritz Iterative Method for Solving Large Scale Nonlinear Eigenvalue Problems
A nonlinear Rayleigh-Ritz iterative (NRRIT) method for solving nonlinear eigenvalue problems is studied in this paper. It is an extension of the nonlinear Arnoldi algorithm due to Heinrich Voss. The effienicy of the NRRIT method is demonstrated by comparing with inverse iteration methods to solve a highly nonlinear eigenvalue problem arising from finite element electromagnetic simulation in acc...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Hokkaido Mathematical Journal
سال: 2007
ISSN: 0385-4035
DOI: 10.14492/hokmj/1272848031