Open AccessAggregation-iterative analogues and generalizations of projection-iterative methods
Author(s) -
B. A. Shuvar,
A.F. Obshta,
М. І. Kopach
Publication year - 2013
Publication title -
karpatsʹkì matematičnì publìkacìï
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.63
H-Index - 4
eISSN - 2313-0210
pISSN - 2075-9827
DOI - 10.15330/cmp.5.1.156-163
Subject(s) - spectral radius , mathematics , iterative method , projection (relational algebra) , operator (biology) , convergence (economics) , cover (algebra) , radius , mathematical optimization , sign (mathematics) , local convergence , algorithm , mathematical analysis , computer science , eigenvalues and eigenvectors , computer security , repressor , economic growth , chemistry , engineering , biochemistry , quantum mechanics , transcription factor , mechanical engineering , physics , economics , gene
Aggregation-iterative algorithms for linear operator equations are constructed and investigated. These algorithms cover methods of iterative aggregation and projection-iterative methods. In convergence conditions there is neither requirement for the corresponding operator of fixed sign no restriction to the spectral radius to be less than one.