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Computing error bounds in solving linear systems


Author: J. Schröder
Journal: Math. Comp. 16 (1962), 323-337
MSC: Primary 65.35; Secondary 65.80
DOI: https://doi.org/10.1090/S0025-5718-1962-0149662-1
MathSciNet review: 0149662
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  • [1] L. Collatz, The Numerical Treatment of Differential Equations, third edition, Springer-Verlag, Berlin, 1961, p. 391. MR 784038 (86b:65003)
  • [2] P. S. Dwyer, Linear Computations, John Wiley & Sons, Inc., New York, 1951.
  • [3] G. Frobenius, ``Über Matrizen aus nichtnegativen Elementen,'' S.-B. Preuss. Akad. Wiss. Berlin, 1912, p. 456-477.
  • [4] J. Schröder, ``Zur Lösung von Potentialaufgaben mit dem Differenzenverfahren,'' Z. Angew. Math. Mech., v. 34, 1954, p. 241-253. MR 0065272 (16:406f)
  • [5] J. Schröder, ``Anwendung von Fixpunktsätzen bei der numerischen Behandlung nichtlinearer Gleichungen in halbgeordneten Räumen,'' Arch. Rational Mech. Anal., v. 4, 1959, p. 177-192. MR 0109433 (22:319)
  • [6] J. Schröder, ``Fehlerabschätzung mit Rechenanlagen bei gewöhnlichen Differentialgleichungen erster Ordnung,'' Numer. Math., v. 3, 1961, p. 39-61, 125-130. MR 0120769 (22:11518)
  • [7] J. Schröder, ``Lineare Operatoren mit positiver Inversen,'' Arch. Rational Mech. Anal., v. 8, 1961, p. 408-434. MR 0136040 (24:B2079)
  • [8] H. Wielandt, ``Unzerlegbare nichtnegative Matrizen,'' Math. Z., v. 52, 1950, p. 642-648. MR 0035265 (11:710g)

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Additional Information

DOI: https://doi.org/10.1090/S0025-5718-1962-0149662-1
Article copyright: © Copyright 1962 American Mathematical Society

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