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
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