Skip to Main Content

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.


On a condition for the nonsingularity of a matrix
HTML articles powered by AMS MathViewer

by Alston S. Householder PDF
Math. Comp. 26 (1972), 119-120 Request permission


A new derivation of a nonsingularity condition is given and related to conditions for the convergence of a matrix interation.
  • Duane W. Bailey and Douglas E. Crabtree, Bounds for determinants, Linear Algebra Appl. 2 (1969), 303–309. MR 262254, DOI 10.1016/0024-3795(69)90032-9
  • V. V. Gudkov, On a certain test for non-singularity of matrices, Latvian Math. Yearbook 1965 (Russian), Izdat. “Zinatne”, Riga, 1966, pp. 385–390 (Russian, with Latvian and English summaries). MR 0193102
  • Alston S. Householder, The theory of matrices in numerical analysis, Blaisdell Publishing Co. [Ginn and Co.], New York-Toronto-London, 1964. MR 0175290
  • R. Mehmke, K sposobu Zeĭdelja, služaščemu dlja rešenija sistemy lineĭnyh uravneniĭ s ves’ma bol’šym čislom neizvestnyh posredstvom posledovatel’nyh približeniĭ. Izvlečenie iz pis’ma professoru Memke k professoru Nekrasovu (On Seidel’s method for the solution of a system of linear equations with a large number of unknowns by means of approximations. From a letter from Professor Mehmke to Professor Nekrasov (in German).), Mat. Sb, v. 16, 1892, pp. 342-345.
  • Alexander Ostrowski, Determinanten mit überwiegender Hauptdiagonale und die absolute Konvergenz von linearen Iterationsprozessen, Comment. Math. Helv. 30 (1956), 175–210 (German). MR 76433, DOI 10.1007/BF02564340
  • P. Stein and R. L. Rosenberg, On the solution of linear simultaneous equations by iteration, J. London Math. Soc. 23 (1948), 111–118. MR 28682, DOI 10.1112/jlms/s1-23.2.111
Similar Articles
  • Retrieve articles in Mathematics of Computation with MSC: 65F10
  • Retrieve articles in all journals with MSC: 65F10
Additional Information
  • © Copyright 1972 American Mathematical Society
  • Journal: Math. Comp. 26 (1972), 119-120
  • MSC: Primary 65F10
  • DOI:
  • MathSciNet review: 0303697