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Nonlinear Equations in One Variable

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Abstract

If f is a real-valued function defined on a closed interval I = [a, b], then a number ξ ∈ I is called a zero or a root of the function f, or a solution of the equation

$$f(x) = 0,$$
((2.1))

if \(f(\xi ) = 0.\)

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Bibliography

  • [ANDE73]; [ATKI89], 2; [BJÖR79], 6.; [BÖHM85]; [COLL68], §§17–19; [COLL73] I, 1.5–1.7; [CONT80], 2.1–2.4; [DOWE71]; [DOWE72]; [ENGE87], chap.2; [ESSE75]; [HÄMM91], 8.; [HENR72] vol. 1, chap. 4; [HILD78], 10.; [ISAA66], 3.1–3.2; [KING73]; [KIOU78]; [KIOU79]; [MAES88], 5.; [MEIN79], §8; [NIED87], chap.7; [NOBL65] I, 2.1–2.4; [PATR75]; [RALS67], V.; [SCHW89], 5.; [SHRA85]; [STET76], 5.; [STOE91]; [STUM82], 2; [TRAU81]; [WERN82], I, II §§1–5; [ZURM65], §1.

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© 1996 Springer-Verlag Berlin Heidelberg

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Engeln-Müllges, G., Uhlig, F. (1996). Nonlinear Equations in One Variable. In: Numerical Algorithms with C. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-61074-5_2

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  • DOI: https://doi.org/10.1007/978-3-642-61074-5_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-64682-9

  • Online ISBN: 978-3-642-61074-5

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