On Optimal Alternating Direction Parameters for Singular Matrices

DOI10.2307/2003675zbMath0208.18203OpenAlexW4240268770MaRDI QIDQ5610048

Jerome Spanier, R. Bruce Kellogg

Publication date: 1965

Full work available at URL: https://doi.org/10.2307/2003675

Mathematics Subject Classification ID

Basic linear algebra (15A99) Numerical linear algebra (65F99)

Related Items

The alternating group explicit (AGE) matrix iterative method, On Convergence Rates for Line Overrelaxation, An iterative algorithm for the solution of a tridiagonal linear system of equations, Iterative methods of solution for the elliptic fourth boundary value problem, Computational methods of linear algebra, A modified ADI method for computing the best least-squares solution of an incompatible system (A \(\times\) I + I \(\times\) B)x = g

Cites Work

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• Alternating direction methods for three space variables
• On convergence of alternating direction procedures in the presence of singular operators
• The Numerical Solution of Parabolic and Elliptic Differential Equations
• Optimum Alternating-Direction-Implicit Iteration Parameters for a Model Problem
• Alternating Direction Implicit Methods
• An Alternating-Direction-Implicit Iteration Technique
• Extended Application of Alternating Direction Implicit Iteration Model Problem Theory
• Chebyshev Approximation by $a\Pi \frac{{x - r_i }}{{x + s_i }}$ and Application to ADI Iteration