Convergence of block iterative methods for linear systems arising in the numerical solution of Euler equations

Elsner L, Mehrmann V (1991)
Numerische Mathematik 59(1): 541-559.

Zeitschriftenaufsatz | Veröffentlicht| Englisch
 
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Autor/in
Elsner, LudwigUniBi; Mehrmann, Volker
Abstract / Bemerkung
We discuss block matrices of the form A = [A(ij)], where A(ij) is a k x k symmetric matrix, A(ii) is positive definite and A(ij) is negative semidefinite. These matrices are natural block-generalizations of Z-matrices and M-matrices. Matrices of this type arise in the numerical solution of Euler equations in fluid flow computations. We discuss properties of these matrices, in particular we prove convergence of block iterative methods for linear systems with such system matrices.
Erscheinungsjahr
1991
Zeitschriftentitel
Numerische Mathematik
Band
59
Ausgabe
1
Seite(n)
541-559
ISSN
0029-599X
eISSN
0945-3245
Page URI
https://pub.uni-bielefeld.de/record/1774920

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Elsner L, Mehrmann V. Convergence of block iterative methods for linear systems arising in the numerical solution of Euler equations. Numerische Mathematik. 1991;59(1):541-559.
Elsner, L., & Mehrmann, V. (1991). Convergence of block iterative methods for linear systems arising in the numerical solution of Euler equations. Numerische Mathematik, 59(1), 541-559. doi:10.1007/BF01385795
Elsner, L., and Mehrmann, V. (1991). Convergence of block iterative methods for linear systems arising in the numerical solution of Euler equations. Numerische Mathematik 59, 541-559.
Elsner, L., & Mehrmann, V., 1991. Convergence of block iterative methods for linear systems arising in the numerical solution of Euler equations. Numerische Mathematik, 59(1), p 541-559.
L. Elsner and V. Mehrmann, “Convergence of block iterative methods for linear systems arising in the numerical solution of Euler equations”, Numerische Mathematik, vol. 59, 1991, pp. 541-559.
Elsner, L., Mehrmann, V.: Convergence of block iterative methods for linear systems arising in the numerical solution of Euler equations. Numerische Mathematik. 59, 541-559 (1991).
Elsner, Ludwig, and Mehrmann, Volker. “Convergence of block iterative methods for linear systems arising in the numerical solution of Euler equations”. Numerische Mathematik 59.1 (1991): 541-559.
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