A graph technique for inverting certain matrices

Author:
B. H. Mayoh

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

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References | Similar Articles | Additional Information

**[1]**Frank Harary,*A graph theoretic approach to matrix inversion by partitioning*, Numer. Math.**4**(1962), 128–135. MR**139545**, https://doi.org/10.1007/BF01386304**[2]**Miroslav Fiedler,*On inverting partitioned matrices*, Czechoslovak Math. J.**13 (88)**(1963), 574–586 (English, with Russian summary). MR**0160793****[3]**Wai-kai Chen,*The inversion of matrices by flow graphs*, J. Soc. Indust. Appl. Math.**12**(1964), 676–685. MR**171796****[4]**B. H. Mayoh, "An algorithm for finding the points of attachment in a graph," submitted for publication to*Math. Scand.***[5]**Louis Guttman,*Enlargement methods for computing the inverse matrix*, Ann. Math. Statistics**17**(1946), 336–343. MR**17578**, https://doi.org/10.1214/aoms/1177730946**[6]**Harold Hotelling,*Some new methods in matrix calculation*, Ann. Math. Statistics**14**(1943), 1–34. MR**7851**, https://doi.org/10.1214/aoms/1177731489**[7]**E. Bodewig,*Comparison of some direct methods for computing determinants and inverse matrices*, Nederl. Akad. Wetensch., Proc.**50**(1947), 49–57. MR**19403****[8]**E. Bodewig,*Matrix calculus*, North-Holland Publishing Company, Amsterdam, 1956. MR**0080363****[9]**G. A. Frazer, W. J. Duncan & R. A. Collar,*Elementary Matrices*, Cambridge Univ. Press, New York, 1938.**[10]**I. Schur, "Über Potenzreihe, die im Innern des Einheitskreis beschränkt sind,"*J. Reine Angew. Math.*, v. 147, 1917, pp. 205-232.**[11]**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.**[12]**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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DOI:
https://doi.org/10.1090/S0025-5718-1965-0196924-0

Article copyright:
© Copyright 1965
American Mathematical Society