Projected iterative algorithms with application to multicomponent transport

Linear Algebra and Its Applications

Volumn 250, Issue , 1997, Pages 289-315

  Ern, Alexandre ^a,b   Giovangigli, Vincent ^c  

^a UNIVERSITÉ PARIS EST   (France)

^b Yale University   (United States)

^c CENTRE DE MATHÉMATIQUES APPLIQUÉES   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031541629     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/0024-3795(95)00502-1     Document Type: Article

References (16)

1. A. Ben-Israel and T. N. E. Greville, Generalized Inverses, Theory and Applications, Wiley, New York, 1974.
2. A. Bermann and R. J. Plemmons, Nonnegative Matrices in the Mathematical Sciences, Academic, New York, 1979; reprinted by SIAM, 1994.
3. S. Chapman and T. G. Cowling, The Mathematical Theory of Nonuniform Gases, Cambridge U.P., Cambridge, 1970.
4. A. Ern, Vorticity-Velocity Modeling of Chemically Reacting Flows. Ph.D. Dissertation, Dept. of Mechanical Engineering, Yale Univ., 1994.
5. A. Ern and V. Giovangigli, Multicomponent Transport Algorithms, Lecture Notes in Phys. New Ser. m Monogr. 24, Springer-Verlag, Heidelberg, 1994.
6. J. H. Ferziger and H. G. Kaper, Mathematical Theory of Transport Processes in Gases, North Holland, Amsterdam, 1972.
7. V. Giovangigli, Convergent iterative methods for multicomponent diffusion, Impact Comput. Sci. Engrg. 3:244-276 (1991).
8. G. H. Golub and C. F. Van Loan, Matrix Computations. Johns Hopkins U.P., Baltimore, 1983.
9. M. R. Hestenes and E. Stiefel, Methods of conjugate gradients for solving linear systems, J. Res. Nat. Bur. Standards 49:409-436 (1952).
10. H. B. Keller, On the solution of singular and semidefinite linear systems by iteration, SIAM J. Numer. Anal. 2:281-290 (1965).
11. J. G. Lewis and R. R. Rehm, The numerical solution of a nonseparable elliptic partial differential equation by preconditioned conjugate gradients, J. Res. Nat. Bur. Standards 85:367-390 (1986).
12. C. D. Meyer and R. J. Plemmons, Convergent powers of a matrix with applications to iterative methods for singular systems, SIAM J. Numer. Anal. 14:699-705 (1977).
13. M. Neumann and R. J. Plemmons, Convergent nonnegative matrices and iterative methods for consistent linear systems, Numer. Math. 31:265-279 (1978).
14. R. Oldenburger, Infinite powers of matrices and characteristic roots, Duke Math J. 6:357-361 (1940).
15. J. M. Ortega, Numerical Analysis, a Second Course, Academic, New York, 1972; reprinted by SIAM, 1990.
16. J. M. Ortega, Matrix Theory, a second course, Plenum, New York, 1987.