Convergence of sequential and asynchronous nonlinear paracontractions

Elsner, Ludwig; Koltracht, Israel; Neumann, Michael

Convergence of sequential and asynchronous nonlinear paracontractions

Elsner L, Koltracht I, Neumann M (1992)
Numerische Mathematik 62(1): 305-319.

Zeitschriftenaufsatz | Veröffentlicht | Englisch

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Elsner_064.pdf

DOI

https://doi.org/10.1007/BF01396232

URN

urn:nbn:de:0070-pub-17749239

Autor*in

Elsner, Ludwig^UniBi; Koltracht, Israel; Neumann, Michael

Einrichtung

Fakultät für Mathematik

Abstract / Bemerkung

We establish the convergence of sequential and asynchronous iteration schemes for nonlinear paracontracting operators acting in finite dimensional spaces. Applications to the solution of linear systems of equations with convex constraints are outlined. A first generalization of one of our convergence results to an infinite pool of asymptotically paracontracting operators is also presented.

Erscheinungsjahr

1992

Zeitschriftentitel

Numerische Mathematik

Band

Ausgabe

Seite(n)

305-319

ISSN

0029-599X

eISSN

0945-3245

Page URI

https://pub.uni-bielefeld.de/record/1774923

Zitieren

Elsner L, Koltracht I, Neumann M. Convergence of sequential and asynchronous nonlinear paracontractions. Numerische Mathematik. 1992;62(1):305-319.

Elsner, L., Koltracht, I., & Neumann, M. (1992). Convergence of sequential and asynchronous nonlinear paracontractions. Numerische Mathematik, 62(1), 305-319. https://doi.org/10.1007/BF01396232

Elsner, Ludwig, Koltracht, Israel, and Neumann, Michael. 1992. “Convergence of sequential and asynchronous nonlinear paracontractions”. Numerische Mathematik 62 (1): 305-319.

Elsner, L., Koltracht, I., and Neumann, M. (1992). Convergence of sequential and asynchronous nonlinear paracontractions. Numerische Mathematik 62, 305-319.

Elsner, L., Koltracht, I., & Neumann, M., 1992. Convergence of sequential and asynchronous nonlinear paracontractions. Numerische Mathematik, 62(1), p 305-319.

L. Elsner, I. Koltracht, and M. Neumann, “Convergence of sequential and asynchronous nonlinear paracontractions”, Numerische Mathematik, vol. 62, 1992, pp. 305-319.

Elsner, L., Koltracht, I., Neumann, M.: Convergence of sequential and asynchronous nonlinear paracontractions. Numerische Mathematik. 62, 305-319 (1992).

Elsner, Ludwig, Koltracht, Israel, and Neumann, Michael. “Convergence of sequential and asynchronous nonlinear paracontractions”. Numerische Mathematik 62.1 (1992): 305-319.

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