On the Relation between the AINV and the FAPINV Algorithms
Joint Authors
Khojasteh Salkuyeh, Davod
Roohani, Hadi
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-11-24
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
The approximate inverse (AINV) and the factored approximate inverse (FAPINV) are two known algorithms in the field of preconditioning of linear systems of equations.
Both of these algorithms compute a sparse approximate inverse of matrix A in the factored form and are based on computing two sets of vectors which are A-biconjugate.
The AINV algorithm computes the inverse factors W and Z of a matrix independently of each other, as opposed to the AINV algorithm, where the computations of the inverse factors are done independently.
In this paper, we show that, without any dropping, removing the dependence of the computations of the inverse factors in the FAPINV algorithm results in the AINV algorithm.
American Psychological Association (APA)
Khojasteh Salkuyeh, Davod& Roohani, Hadi. 2009. On the Relation between the AINV and the FAPINV Algorithms. International Journal of Mathematics and Mathematical Sciences،Vol. 2009, no. 2009, pp.1-6.
https://search.emarefa.net/detail/BIM-452238
Modern Language Association (MLA)
Khojasteh Salkuyeh, Davod& Roohani, Hadi. On the Relation between the AINV and the FAPINV Algorithms. International Journal of Mathematics and Mathematical Sciences No. 2009 (2009), pp.1-6.
https://search.emarefa.net/detail/BIM-452238
American Medical Association (AMA)
Khojasteh Salkuyeh, Davod& Roohani, Hadi. On the Relation between the AINV and the FAPINV Algorithms. International Journal of Mathematics and Mathematical Sciences. 2009. Vol. 2009, no. 2009, pp.1-6.
https://search.emarefa.net/detail/BIM-452238
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-452238