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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


The propagation of error in linear problems
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by A. T. Lonseth PDF
Trans. Amer. Math. Soc. 62 (1947), 193-212 Request permission
  • Rachel Blodgett Adams, On the Approximate Solution of Fredholm’s Homogeneous Integral Equation, Amer. J. Math. 51 (1929), no. 1, 139–148. MR 1506708, DOI 10.2307/2370568
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  • Ernst Hellinger and Otto Toeplitz, Grundlagen für eine Theorie der unendlichen Matrizen, Math. Ann. 69 (1910), no. 3, 289–330 (German). MR 1511591, DOI 10.1007/BF01456325
  • Harold Hotelling, Some new methods in matrix calculation, Ann. Math. Statistics 14 (1943), 1–34. MR 7851, DOI 10.1214/aoms/1177731489
  • Harold Hotelling, Further points on matrix calculation and simultaneous equations, Ann. Math. Statistics 14 (1943), 440–441. MR 10061, DOI 10.1214/aoms/1177731364
  • Trajan Lalesco, Introduction à la théorie des équations intégrales, Paris, 1912.
  • H. Lebesgue, Sur la méthode de M. Goursat pour la résolution de l’équation de Fredholm, Bull. Soc. Math. France 36 (1908), 3–19 (French). MR 1504590
  • A. T. Lonseth, Systems of linear equations with coefficients subject to error, Ann. Math. Statistics 13 (1942), 332–337. MR 7121, DOI 10.1214/aoms/1177731572
  • A. T. Lonseth, On relative errors in systems of linear equations, Ann. Math. Statistics 15 (1944), 323–325. MR 10660, DOI 10.1214/aoms/1177731239
  • F. R. Moulton, On the Solutions of Linear Equations Having Small Determinants, Amer. Math. Monthly 20 (1913), no. 8, 242–249. MR 1517882, DOI 10.2307/2973303
  • J. W. S. Rayleigh, The theory of sound, vol. 2, 2d ed., London, 1896. Frédéric Riesz, Les systèmes d’équations linéaires à une infinité d’inconnues, Paris, 1913.
  • Erhard Schmidt, Zur Theorie der linearen und nicht linearen Integralgleichungen Zweite Abhandlung, Math. Ann. 64 (1907), no. 2, 161–174 (German). MR 1511432, DOI 10.1007/BF01449890
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  • J. L. Synge, A geometrical interpretation of the relaxation method, Quart. Appl. Math. 2 (1944), 87–89. MR 10658, DOI 10.1090/S0033-569X-1944-10658-1
  • Francesco Tricomi, Sulla risoluzione numérica delle equazioni integrali di Fredholm, Atti della Reale Accademia Nazionale dei Lincei, Rendiconti, Classe di Scienze Fisiche, Matematiche, e Naturali (5) vol. 33 (1924) 1$^{o}$ sem. pp. 483-486, 2$^{o}$ sem. pp. 26-30.
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Additional Information
  • © Copyright 1947 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 62 (1947), 193-212
  • MSC: Primary 46.3X
  • DOI:
  • MathSciNet review: 0022315