The convergence of the modified Gauss--Seidel methods for consistent linear systems
\textit{A. D. Gunawardena, S. K. Jain} and \textit{L. Snyder} [Linear Algebra Appl. 154-156, 123-143 (1991; Zbl 0731.65016)] modified the Gauss-Seidel iteration and multiplied the given system first by a matrix whose entries are derived from the matrix elements \(a_{i, i+1}\). The convergence of the iteration and a generalization are proven for \(M\)-matrices.
scientific article; zbMATH DE number 1915266