The convergence rate of Jacobi-like block iteration with overlapping blocks as applied to a model problem

Computational Mathematics and Mathematical Physics

Volumn 43, Issue 11, 2003, Pages 1550-1563

  Maleev, A A ^a  

^a INSTITUTE OF TECHNICAL PHYSICS   (Russian Federation)

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EID: 33746137084     PISSN: 09655425     EISSN: 15556662     Source Type: Journal    
DOI: None     Document Type: Article

References (12)

1. Maleev, A.A., On the Convergence of Nonstationary Iteration for Block Systems of Linear Equations, Zh. Vychisl. Mat. Mat. Fiz., 2003, vol. 43, no. 4, pp. 483-492.
2. Wait, R. and Brown, N.G., Overlapping Block Methods for Solving Tridiagonal Systems on Transputers Array, Parallel Computing, 1988, vol. 8, pp. 325-333.
3. Hageman, L.A. and Young, D.M., Applied Iterative Methods, New York: Academic, 1981.
4. Translated under the title Prikladnye iteratsionnye metody, Moscow: Mir, 1986.
5. Gantmakher, F.R., Teoriya matrits (Theory of Matrices), Moscow: Nauka, 1988.
6. Horn, R.A. and Johnson, C.R., Matrix Analysis, Cambridge: Cambridge Univ. Press, 1985.
7. Translated under the title Matrichnyi analiz, Moscow: Mir, 1989.
8. Bank, R.F. and Rose, D.J., Marching Algorithms for Elliptic Boundary Problems: I. The Constant Coefficient Case, SIAM J. Numer. Anal., 1977, vol. 14, pp. 792-829.
9. Samarskii, A.A. and Nikolaev, B.S., Metody resheniya setochnykh uravnenii, Moscow: Nauka, 1978.
10. Translated under the title Numerical Methods for Grid Equations, Basel: Birkhäuser, 1989.
11. Ortega, J.M. and Rheinboldt, W.C., Iterative Solution of Nonlinear Equations in Several Variables, New York: Academic, 1970.
12. Translated under the title Iteratsionnye metody resheniya nelineinykh sistem uravnenii so mnogimi neizvestnymi, Moscow: Mir, 1975.