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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.


Nonlinear curve-fitting in the $L_{1}$ and $L_{\infty }$ norms
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by Richard L. Shrager and Edward Hill PDF
Math. Comp. 34 (1980), 529-541 Request permission


In extending the Levenberg-Marquardt ${L_2}$ method for nonlinear curve-fitting to the ${L_1}$ and ${L_\infty }$ norms, the following problems arise, but are dealt with successfully: (1) Trial parameters are generated by linear programming, which can be time-consuming. (2) Trial parameters are not uniquely specified in some cases. (3) There are intervals of the search parameter for which the trial parameters remain constant. (4) In ${L_1}$, the trial parameters are discontinuous with respect to the search parameter. It is shown that linear constraints on the parameters are easily included in the computations. Finally, some numerical results are presented.
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Additional Information
  • © Copyright 1980 American Mathematical Society
  • Journal: Math. Comp. 34 (1980), 529-541
  • MSC: Primary 41A45; Secondary 41A50, 65D10
  • DOI:
  • MathSciNet review: 559201