Applications of Partial Orderings to the Study of Positive Definiteness, Monotonicity, and Convergence of Iterative Methods for Linear Systems
- 1 March 1972
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Numerical Analysis
- Vol. 9 (1) , 97-104
- https://doi.org/10.1137/0709011
Abstract
No abstract availableThis publication has 9 references indexed in Scilit:
- A fourth-order finite-difference approximation for the fixed membrane eigenproblemMathematics of Computation, 1971
- Convergence estimates for essentially positive type discrete Dirichlet problemsMathematics of Computation, 1969
- Spectral Properties of Matrices which have Invariant ConesSIAM Journal on Applied Mathematics, 1968
- Monotone and oscillation matrices applied to finite difference approximationsMathematics of Computation, 1968
- Monotone Iterations for Nonlinear Equations with Application to Gauss-Seidel MethodsSIAM Journal on Numerical Analysis, 1967
- Some generalizations of positive definiteness and monotonicityNumerische Mathematik, 1966
- On a Finite Difference Analogue of an Elliptic Boundary Problem which is Neither Diagonally Dominant Nor of Non‐negative TypeJournal of Mathematics and Physics, 1964
- Topological proofs for certain theorems on matrices with non-negative elementsMonatshefte für Mathematik, 1958
- On the Convergence of the Classical Iterative Method of Solving Linear Simultaneous EquationsThe Annals of Mathematical Statistics, 1949