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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

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

The 2020 MCQ for Mathematics of Computation is 1.98.

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 solving systems of equations using interval arithmetic
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by Eldon R. Hansen PDF
Math. Comp. 22 (1968), 374-384 Request permission
References
  • Ramon E. Moore, Interval analysis, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1966. MR 0231516
  • W. P. Champagne, Jr., On Finding Roots of Polynomials by Hook or by Crook, Master’s Thesis, Univ. of Texas, 1964.
  • Eldon Hansen, Interval arithmetic in matrix computations. I, J. Soc. Indust. Appl. Math. Ser. B Numer. Anal. 2 (1965), 308–320. MR 187381
  • Eldon Hansen and Roberta Smith, Interval arithmetic in matrix computations. II, SIAM J. Numer. Anal. 4 (1967), 1–9. MR 229372, DOI 10.1137/0704001
  • Ray Boche, "Complex interval arithmetic with some applications," Lockheed Missiles and Space Company Report #4-22-66-1, 1966.
  • L. B. Rall, Newton’s method for the characteristic value problem $Ax=\lambda Bx$, J. Soc. Indust. Appl. Math. 9 (1961), 288–293. MR 128065
  • J. H. Wilkinson, Rigorous error bounds for computed eigensystems, Comput. J. 4 (1961/62), 230–241. MR 129124, DOI 10.1093/comjnl/4.3.230
  • J. H. Wilkinson, The algebraic eigenvalue problem, Clarendon Press, Oxford, 1965. MR 0184422
  • Eldon Hansen and Roberta Smith, Interval arithmetic in matrix computations. II, SIAM J. Numer. Anal. 4 (1967), 1–9. MR 229372, DOI 10.1137/0704001
  • E. Bodewig, Matrix calculus, 2nd revised and enlarged edition, North-Holland Publishing Co., Amsterdam; Interscience Publishers, Inc., New York, 1959. MR 0127517
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Additional Information
  • © Copyright 1968 American Mathematical Society
  • Journal: Math. Comp. 22 (1968), 374-384
  • MSC: Primary 65.80
  • DOI: https://doi.org/10.1090/S0025-5718-1968-0229411-4
  • MathSciNet review: 0229411