Remote Access Mathematics of Computation
Green Open Access

Mathematics of Computation

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

 

 

On solving systems of equations using interval arithmetic


Author: Eldon R. Hansen
Journal: Math. Comp. 22 (1968), 374-384
MSC: Primary 65.80
MathSciNet review: 0229411
Full-text PDF Free Access

References | Similar Articles | Additional Information

References [Enhancements On Off] (What's this?)

  • [1] Ramon E. Moore, Interval analysis, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1966. MR 0231516
  • [2] W. P. Champagne, Jr., On Finding Roots of Polynomials by Hook or by Crook, Master's Thesis, Univ. of Texas, 1964.
  • [3] Eldon Hansen, Interval arithmetic in matrix computations. I, J. Soc. Indust. Appl. Math. Ser. B Numer. Anal. 2 (1965), 308–320. MR 0187381
  • [4] Eldon Hansen and Roberta Smith, Interval arithmetic in matrix computations. II, SIAM J. Numer. Anal. 4 (1967), 1–9. MR 0229372
  • [5] Ray Boche, "Complex interval arithmetic with some applications," Lockheed Missiles and Space Company Report #4-22-66-1, 1966.
  • [6] L. B. Rall, Newton’s method for the characteristic value problem 𝐴𝑥=𝜆𝐵𝑥, J. Soc. Indust. Appl. Math. 9 (1961), 288–293. MR 0128065
  • [7] J. H. Wilkinson, Rigorous error bounds for computed eigensystems, Comput. J. 4 (1961/1962), 230–241. MR 0129124
  • [8] J. H. Wilkinson, The algebraic eigenvalue problem, Clarendon Press, Oxford, 1965. MR 0184422
  • [9] Eldon Hansen and Roberta Smith, Interval arithmetic in matrix computations. II, SIAM J. Numer. Anal. 4 (1967), 1–9. MR 0229372
  • [10] E. Bodewig, Matrix calculus, 2nd revised and enlarged edition, North-Holland Publishing Co., Amsterdam; Interscience Publishers, Inc., New York, 1959. MR 0127517

Similar Articles

Retrieve articles in Mathematics of Computation with MSC: 65.80

Retrieve articles in all journals with MSC: 65.80


Additional Information

DOI: https://doi.org/10.1090/S0025-5718-1968-0229411-4
Article copyright: © Copyright 1968 American Mathematical Society