Consistency and Splittings

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1976 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Numerical Analysis, volume 13, pages 877-888 (issn: 0036-1429, eissn: 1095-7170,

Copyright policy )

Authors: Berman, Abraham; Neumann, Michael;

doi: 10.1137/0713069

Consistency and Splittings

- Summary
- Subjects
- Metrics

Abstract

Complementary subspaces consistency between the linear system \[ ( * )\qquad Ax = b \] and the linear system $Bx = c$ is defined and studied. This concept is applied to the consideration of iterative schemes for solving (*) obtained through various splittings of the matrix A.

Keywords

Iterative numerical methods for linear systems, Numerical solutions to overdetermined systems, pseudoinverses, Theory of matrix inversion and generalized inverses

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	26
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 10%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Top 10%