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

Elsner, Ludwig; Mehrmann, Volker

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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Elsner_060.pdf

DOI

https://doi.org/10.1007/BF01385795

URN

urn:nbn:de:0070-pub-17749205

Autor*in

Elsner, Ludwig^UniBi; Mehrmann, Volker

Einrichtung

Fakultät für Mathematik

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

Ausgabe

Seite(n)

541-559

ISSN

0029-599X

eISSN

0945-3245

Page URI

https://pub.uni-bielefeld.de/record/1774920

Zitieren

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. https://doi.org/10.1007/BF01385795

Elsner, Ludwig, and Mehrmann, Volker. 1991. “Convergence of block iterative methods for linear systems arising in the numerical solution of Euler equations”. Numerische Mathematik 59 (1): 541-559.

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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