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Equivalence of conditions for convergence of iterative methods for singular equations
Author(s) -
Szyld Daniel B.
Publication year - 1994
Publication title -
numerical linear algebra with applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.02
H-Index - 53
eISSN - 1099-1506
pISSN - 1070-5325
DOI - 10.1002/nla.1680010206
Subject(s) - mathematics , equivalence (formal languages) , banach space , markov chain , convergence (economics) , iterative method , range (aeronautics) , pure mathematics , mathematical analysis , mathematical optimization , statistics , materials science , economics , composite material , economic growth
Abstract Equivalence is shown between different conditions for convergence of iterative methods for consistent singular systems of linear equations on Banach spaces. These systems appear in many applications, such as Markov chains and Markov processes. The conditions considered relate the range and null spaces of different operators.