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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.


Numerical calculation of the multiplicity of a solution to algebraic equations
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by Hidetsune Kobayashi, Hideo Suzuki and Yoshihiko Sakai PDF
Math. Comp. 67 (1998), 257-270 Request permission


A method to calculate numerically the multiplicity of a solution to a system of algebraic equations is presented. The method is an application of Zeuthen’s rule which gives the multiplicity of a solution as the multiplicity of a united point of an algebraic correspondence defined naturally by the system. The numerical calculation is applicable to a large scale system of algebraic equations which may have a solution that we cannot calculate the multiplicity by a symbolic computation.
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Additional Information
  • Hidetsune Kobayashi
  • Affiliation: Department of Mathematics, Nihon University, 1-8 Kanda-surugadai, Tokyo 101, Japan
  • Email:
  • Hideo Suzuki
  • Affiliation: Tokyo Polytechnic College, 2-32-1 Ogawa-nishi Kodaira, Tokyo, Japan
  • Yoshihiko Sakai
  • Affiliation: Visual Science Laboratory, Inc., 2-21 Kanda-awajicho, Chiyoda, Tokyo, Japan
  • Email:
  • Received by editor(s): July 13, 1995
  • Received by editor(s) in revised form: August 28, 1996
  • © Copyright 1998 American Mathematical Society
  • Journal: Math. Comp. 67 (1998), 257-270
  • MSC (1991): Primary 14Q99, 65H10; Secondary 14N05, 65H20
  • DOI:
  • MathSciNet review: 1434942