Solution of Non-linear Equations in One Variable: Interval Methods

P. M. Dew and K. R. James
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P. M. Dew: University of Leeds, Department of Computer Studies
K. R. James: University of Leeds, Department of Computer Studies

Chapter 6 in Introduction to Numerical Computation in Pascal, 1983, pp 120-139 from Springer

Abstract: Abstract As we have seen in chapter 5, Newton’s method often behaves erratically at a distance from a root. For a general function, if the starting point is not sufficiently close to a root, the sequence of iterates may diverge.

Keywords: Secant Method; Interval Method; Bisection Method; Initial Interval; Rational Interpolation (search for similar items in EconPapers)
Date: 1983
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DOI: 10.1007/978-1-4757-3940-4_6

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