The two-stage arithmetic mean method

Applied Mathematics and Computation

Volumn 85, Issue 2-3, 1997, Pages 245-264

  Galligani, E ^a   Ruggiero, V ^b  

^a UNIVERSITY OF MODENA AND REGGIO EMILIA   (Italy)

^b UNIVERSITY OF FERRARA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040236643     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(96)00139-7     Document Type: Article

References (13)

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3. E. Galligani and V. Ruggiero, Implementation of splitting methods for solving block tridiagonal linear systems on transputers, In: Proceedings of Euromicro PDP'95, IEEE Computer Society Press 409-415 (1995).
4. P. J. Lanzkron, D. J. Rose, and D. B. Szyld, Convergnce of nested classical iterative methods for linear systems, Numer. Math. 58:685-702 (1991).
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6. J. M. Ortega, Numerical Analysis, A Second Course, Academic Press, New York, 1972.
7. N. K. Nichols, On the convergence of two stage iterative process for solving linear equations, SIAM J. Numer. Anal. 10:460-469 (1973).
8. D. P. O'Leary and R. E. White, Multi-splitting of matrices and parallel solution of linear systems, SIAM J. Algebraic Discrete Meth. 6:630-640 (1984).
9. D. M. Young, Iterative Solution of Large Linear Systems, Academic Press, New York, 1971.
10. E. Galligani and V. Ruggiero. The arithmetic mean preconditioner for multivector computers, Intern. J. Computer Math. 44:207-222 (1992).
11. R. S. Varga, Matrix Iterative Analysis, Prentice-Hall, Englewood Cliffs, New Jersey, 1962.
12. Cray MPP Fortran Reference Manual, Cray Research Inc. SR-2504 6.2.
13. LAPACK Users' Guide, SIAM (1992).