Different Versions of ILU and IUL Factorizations Obtained from Forward and Backward Factored Approximate Inverse Processes—Part I | Zendy

Amin Rafiei | Zendy; Fatemeh Shahlaei | Zendy

Open Access

Different Versions of ILU and IUL Factorizations Obtained from Forward and Backward Factored Approximate Inverse Processes—Part I

Author(s) -

Amin Rafiei,

Fatemeh Shahlaei

Publication year - 2011

Publication title -

advances in numerical analysis

Language(s) - English

Resource type - Journals

eISSN - 1687-9570

pISSN - 1687-9562

DOI - 10.1155/2011/703435

Subject(s) - preconditioner , factorization , inverse , mathematics , decomposition , product (mathematics) , matrix (chemical analysis) , process (computing) , linear system , algorithm , computer science , mathematical analysis , chemistry , geometry , organic chemistry , chromatography , operating system

We present an incomplete UL (IUL) decomposition of matrix which is extracted as a by-product of BFAPINV (backward factored approximate inverse) process. We term this IUL factorization as IULBF. We have used ILUFF [3] and IULBF as left preconditioner for linear systems. Different versions of ILUFF and IULBF preconditioners are computed by using different dropping techniques. In this paper, we compare quality of different versions of ILUFF and IULBF preconditioners

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