Comparison Theorems of Spectral Radius for Splittings of Matrices

Comparison Theorems of Spectral Radius for Splittings of Matrices

A class of the iteration method from the double splitting of coefficient matrix for solving the linear system is further investigated. By structuring a new matrix, the iteration matrix of the corresponding double splitting iteration method is presented. On the basis of convergence and comparison the...

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Veröffentlicht in:Journal of Applied Mathematics 2014-01, Vol.2014 (2014), p.289-293-530
Hauptverfasser: Li, Cui-Xia, Li, Su-Hua
Format: Artikel
Sprache:eng
Schlagworte:
Convergence
Convergence (Mathematics)
Iterative methods
Iterative methods (Mathematics)
Linear systems
Mathematical analysis
Mathematical research
Matrices
Matrices (mathematics)
Spectra
Splitting
Theorems
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Zusammenfassung:A class of the iteration method from the double splitting of coefficient matrix for solving the linear system is further investigated. By structuring a 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.
ISSN:1110-757X
1687-0042
DOI:10.1155/2014/573024