An iterative solution method for linear systems of which the coefficient matrix is a symmetric m-matrix

Mathematics of Computation

Volumn 31, Issue 137, 1977, Pages 148-162

  Meijerink, J A ^a   Vander Vorst, H A ^a  

^a Academic Computer Centre Utrechtm ^*  (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84966225158     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0025-5718-1977-0438681-4     Document Type: Article

References (9)

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2. KY FAN, "Note on M-matrices," Quart. J. Math. Oxford Ser. (2), v. 11, 1960, pp. 43-49. MR 22 #8024.
3. M. R. HESTENES, The Conjugate-Gradient Method for Solving Linear Systems, Proc. Sympos. Appl. Math., vol. 4, Numerical Analysis, McGraw-Hill, New York, 1956, 83-102. MR 18, 824.
4. H. S. PRICE & K. H. COATS, "Direct methods in reservoir simulation," Soc. Petroleum Engrs. J., v. 14, 1974,. 295-308.
5. J. K. REID, "The use of conjugate gradients for systems of linear equations possessing 'Property A'," SIAM J. Numer. Anal, v. 9, 1972, 325-332. MR 46 #4697.
6. H. L. STONE, "Iterative solution of implicit approximations of multidimensional partial differential equations," SIAM J. Numer. Anal, v. 5, 1968, pp. 530-558. MR 38 #6780.
7. R. S. VARGA, Matrix Iterative Analysis, Prentice-Hall, Englewood Cliffs, N.J., 1962. MR 28 #1725.
8. J. H. WILKINSON & C. REINSCH, Linear Algebra, Springer-Verlag, Berlin and New York, 1971.
9. J. H. WILKINSON, The Algebraic Eigenvalue Problem, Clarendon Press, Oxford, 1965. MR 32 #1894.