Convergence of parallel multisplitting iterative methods for M-matrices

Multi-Splittings of Matrices and Parallel Solution of Linear Systems

Dianne P. O’Leary, R. E. White · SIAM Journal on Algebraic and Discrete Methods · 1985 · 365 citations

Computing, Computer Science, Mathematics +15

Monotone Iterations for Nonlinear Equations with Application to Gauss-Seidel Methods

James M. Ortega, Werner C. Rheinboldt · SIAM Journal on Numerical Analysis · 1967 · 133 citations

Computing, Computational Engineering, Algorithms +15

Theorems on M-splittings of a singular M-matrix which depend on graph structure

Linear Algebra and its Applications · 1984 · 101 citations

Computing, High-performance Computing, Representation Theory +7

Parallel Algorithms for Nonlinear Problems

R. E. White · SIAM Journal on Algebraic and Discrete Methods · 1986 · 70 citations

Computing, Computer Science, Mathematics +14

A simple approach to the Perron-Frobenius theory for positive operators on general partially-ordered finite-dimensional linear spaces

Werner C. Rheinboldt, James S. Vandergraft · Mathematics of Computation · 1973 · 65 citations

Natural Sciences, Mathematics, Computational Geometry +13