A Factored Approximate Inverse Preconditioner with Pivoting

نویسندگان

  • Matthias Bollhöfer
  • Yousef Saad
چکیده

In this paper we develop new techniques for stabilizing factored approximate inverse preconditioners (AINV) using pivoting. This method yields stable preconditioners in many cases and can provide successful preconditioners in many situations when the underlying system is highly indefinite. Numerical examples illustrate the effectiveness of this approach.

برای دانلود 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

Complete pivoting strategy for the $IUL$ preconditioner obtained from Backward Factored APproximate INVerse process

‎In this paper‎, ‎we use a complete pivoting strategy to compute the IUL preconditioner obtained as the by-product of the Backward Factored APproximate INVerse process‎. ‎This pivoting is based on the complete pivoting strategy of the Backward IJK version of Gaussian Elimination process‎. ‎There is a parameter $alpha$ to control the complete pivoting process‎. ‎We have studied the effect of dif...

متن کامل

Extending the pivoting strategy of Backward IJK version of Gaussian Elimination to an IUL preconditioner

Consider the linear system of equations of the form Ax = b where the coefficient matrix A ∈ Rn×n is nonsingular, large, sparse and nonsymmetric and also x, b ∈ R. We refer to this system as the original system. An explicit preconditioner M for this system is an approximation of matrix A−1. In [1], Lou presented the Backward Factored INVerse or BFINV algorithm which computes the inverse factoriz...

متن کامل

ILU and IUL factorizations obtained from forward and backward factored approximate inverse algorithms

In this paper‎, ‎an efficient dropping criterion has been used to compute the IUL factorization obtained from Backward Factored APproximate INVerse (BFAPINV) and ILU factorization obtained from Forward Factored APproximate INVerse (FFAPINV) algorithms‎. ‎We use different drop tolerance parameters to compute the preconditioners‎. ‎To study the effect of such a dropping on the quality of the ILU ...

متن کامل

Multigrid Treatment and Robustness Enhancement for Factored Sparse Approximate Inverse Preconditioning

We investigate the use of sparse approximate inverse techniques (SAI) in a grid based multilevel ILU preconditioner (GILUM) to design a robust parallelizable precon-ditioner for solving general sparse matrix. Taking the advantages of grid based mul-tilevel methods, the resulting preconditioner outperforms sparse approximate inverse in robustness and eeciency. Conversely, taking the advantages o...

متن کامل

A Sparse Approximate Inverse Preconditioner for Nonsymmetric Positive Definite Matrices

We develop an algorithm for computing a sparse approximate inverse for a nonsymmetric positive definite matrix based upon the FFAPINV algorithm. The sparse approximate inverse is computed in the factored form and used to work with some Krylov subspace methods. The preconditioner is breakdown free and, when used in conjunction with Krylovsubspace-based iterative solvers such as the GMRES algorit...

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

برای دانلود 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

عنوان ژورنال:
  • SIAM J. Matrix Analysis Applications

دوره 23  شماره 

صفحات  -

تاریخ انتشار 2002