ITPACK 2C: A FORTRAN Package for Solving Large Sparse Linear Systems by Adaptive Accelerated Iterative Methods

نویسندگان

  • David R. Kincaid
  • John R. Respess
  • David M. Young
  • Roger G. Grimes
چکیده

ITPACK 2C is a collection of seven FORTRAN subroutines for solving large sparse linear systems by adaptive accelerated iterative algorithms. Basic iterative procedures, such as the Jacobi method, the Successive Overrelaxation method, the Symmetric Successive Overrelaxation method, and the RS method for the reduced system are combined, where possible, with acceleration procedures such as Chebyshev (Semi-Iteration) and Conjugate Gradient for rapid convergence. Automatic selection of the acceleration parameters and the use of accurate stopping criteria are major features of this software package. While the ITPACK routines can be called with any linear system containing positive diagonal elements, they are the most successful in solving systems with symmetric positive definite or mildly nonsymmetric coefficient matrices.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Preconditioned Generalized Minimal Residual Method for Solving Fractional Advection-Diffusion Equation

Introduction Fractional differential equations (FDEs)  have  attracted much attention and have been widely used in the fields of finance, physics, image processing, and biology, etc. It is not always possible to find an analytical solution for such equations. The approximate solution or numerical scheme  may be a good approach, particularly, the schemes in numerical linear algebra for solving ...

متن کامل

Amesos2 and Belos: Direct and iterative solvers for large sparse linear systems

Solvers for large sparse linear systems come in two categories: direct and iterative. Amesos2, a package in the Trilinos software project, provides direct methods, and Belos, another Trilinos package, provides iterative methods. Amesos2 offers a common interface to many different sparse matrix factorization codes, and can handle any implementation of sparse matrices and vectors, via an easy-to-...

متن کامل

An accelerated gradient based iterative algorithm for solving systems of coupled generalized Sylvester-transpose matrix equations

‎In this paper‎, ‎an accelerated gradient based iterative algorithm for solving systems of coupled generalized Sylvester-transpose matrix equations is proposed‎. ‎The convergence analysis of the algorithm is investigated‎. ‎We show that the proposed algorithm converges to the exact solution for any initial value under certain assumptions‎. ‎Finally‎, ‎some numerical examples are given to demons...

متن کامل

Parallel Solution of General Sparse Linear Systems Using Psparslib Distributed Sparse Linear Systems Eleventh International Conference on Domain Decomposition Methods

PSPARSLIB SM95] is a portable package for solving sparse linear systems on parallel platforms. The package adapts a number of methods based on domain decomposition concepts to general sparse irregularly structured linear systems. It is implemented in FORTRAN 77 with a few C functions and uses the MPI communication library for message passing. This paper describes some of the methods implemented...

متن کامل

A Survey of Packages for Large Linear Systems

This paper evaluates portable software packages for the iterative solution of very large sparse linear systems on parallel architectures. While we cannot hope to tell individual users which package will best suit their needs, we do hope that our systematic evaluation provides essential unbiased information about the packages and the evaluation process may serve as an example on how to evaluate ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2002