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Comparison Theorems of Spectral Radius for Splittings of Matrices
Author(s) -
Cui-Xia Li,
Suhua Li
Publication year - 2014
Publication title -
journal of applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.307
H-Index - 43
eISSN - 1687-0042
pISSN - 1110-757X
DOI - 10.1155/2014/573024
Subject(s) - spectral radius , mathematics , convergence (economics) , radius of convergence , matrix (chemical analysis) , basis (linear algebra) , coefficient matrix , radius , class (philosophy) , matrix splitting , mathematical analysis , eigenvalues and eigenvectors , symmetric matrix , square matrix , physics , power series , computer science , geometry , quantum mechanics , materials science , computer security , artificial intelligence , economics , composite material , economic growth
A class of the iteration method from the double splitting of coefficient matrix for solving the linear system is further investigated. By structuringa new matrix, the iteration matrix of the corresponding double splitting iteration method is presented. On the basis of convergence and comparison theorems for single splittings, we present some new convergence and comparison theorems on spectral radius for splittings of matrices

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