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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

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.

 

A graph technique for inverting certain matrices
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by B. H. Mayoh PDF
Math. Comp. 19 (1965), 644-646 Request permission
References
  • Frank Harary, A graph theoretic approach to matrix inversion by partitioning, Numer. Math. 4 (1962), 128–135. MR 139545, DOI 10.1007/BF01386304
  • Miroslav Fiedler, On inverting partitioned matrices, Czechoslovak Math. J. 13(88) (1963), 574–586 (English, with Russian summary). MR 160793
  • Wai-kai Chen, The inversion of matrices by flow graphs, J. Soc. Indust. Appl. Math. 12 (1964), 676–685. MR 171796
  • B. H. Mayoh, "An algorithm for finding the points of attachment in a graph," submitted for publication to Math. Scand.
  • Louis Guttman, Enlargement methods for computing the inverse matrix, Ann. Math. Statistics 17 (1946), 336–343. MR 17578, DOI 10.1214/aoms/1177730946
  • Harold Hotelling, Some new methods in matrix calculation, Ann. Math. Statistics 14 (1943), 1–34. MR 7851, DOI 10.1214/aoms/1177731489
  • E. Bodewig, Comparison of some direct methods for computing determinants and inverse matrices, Nederl. Akad. Wetensch., Proc. 50 (1947), 49–57. MR 19403
  • E. Bodewig, Matrix calculus, North-Holland Publishing Co., Amsterdam, 1956. MR 0080363
  • G. A. Frazer, W. J. Duncan & R. A. Collar, Elementary Matrices, Cambridge Univ. Press, New York, 1938. I. Schur, "Über Potenzreihe, die im Innern des Einheitskreis beschränkt sind," J. Reine Angew. Math., v. 147, 1917, pp. 205–232. T. Banachiewicz, "Zur Berechnung der Determinanten wie auch der Inversen und zur darauf basierten Auflösung der Systeme linearer Gleichungen," Acta Astronomica, Sér. v. 3, 1937, pp. 41–67.
  • Alston S. Householder, The theory of matrices in numerical analysis, Blaisdell Publishing Co. [Ginn and Co.], New York-Toronto-London, 1964. MR 0175290
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Additional Information
  • © Copyright 1965 American Mathematical Society
  • Journal: Math. Comp. 19 (1965), 644-646
  • MSC: Primary 65.35
  • DOI: https://doi.org/10.1090/S0025-5718-1965-0196924-0
  • MathSciNet review: 0196924