Application of Preconditioned Conjugate Gradient Method to Eigenvalue Problems for One-Group Neutron Diffusion Equation
نویسندگان
چکیده
منابع مشابه
A New Hybrid Conjugate Gradient Method Based on Eigenvalue Analysis for Unconstrained Optimization Problems
In this paper, two extended three-term conjugate gradient methods based on the Liu-Storey ({tt LS}) conjugate gradient method are presented to solve unconstrained optimization problems. A remarkable property of the proposed methods is that the search direction always satisfies the sufficient descent condition independent of line search method, based on eigenvalue analysis. The globa...
متن کاملVariable-step preconditioned conjugate gradient method for partial symmetric eigenvalue problems
in which A is a large sparse symmetric positive definite matrix, λ is an eigenvalue and u is a corresponding eigenvector. The evaluation of one or more smallest eigenpairs has much practical interest for describing the characteristics of physical phenomena. For example, smallest eigenvalues characterize the base frequences of vibrating mechanical structures. Typically, the matrix A is a discret...
متن کاملSuperresolution Using Preconditioned Conjugate Gradient Method
In this paper we present a fast iterative image superresolution algorithm using preconditioned conjugate gradient method. To avoid explicitly computing the tolerance in the inverse filter based preconditioner scheme, a new Wiener filter based preconditioner for the conjugate gradient method is proposed to speed up the convergence. The circulant-block structure of the preconditioner allows effic...
متن کاملThe Multigrid Preconditioned Conjugate Gradient Method
multigrid method as a preconditioner of the PCG method, is proposed. The multigrid method has inherent high parallelism and improves convergence of long wave length components, which is important in iterative methods. By using this method as a preconditioner of the PCG method, an e cient method with high parallelism and fast convergence is obtained. First, it is considered a necessary condition...
متن کاملPreconditioned Conjugate Gradient Method for the Sparse Generalized Eigenvalue Problem in Electronic Structure Calculations
The use of localized basis sets is essential in linear-scaling electronic structure calculations, and since such basis sets are mostly non-orthogonal, it is necessary to solve the generalized eigenvalue problem Hx = "Sx. In this work, an iterative method for nd-ing the lowest few eigenvalues and corresponding eigenvectors for the generalized eigenvalue problem based on the conjugate gradient me...
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: Journal of Nuclear Science and Technology
سال: 1988
ISSN: 0022-3131,1881-1248
DOI: 10.1080/18811248.1988.9733560