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On Superlinear Conv...
On Superlinear Convergence of Some Stable Variants of the Secant Method
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- Burdakov, Oleg, 1953- (author)
- Computing Center of the USSR Academy of Sciences, Moscow
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(creator_code:org_t)
- Wiley, 1986
- 1986
- English.
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In: Zeitschrift für angewandte Mathematik und Mechanik. - : Wiley. - 0044-2267 .- 1521-4001. ; 66:2, s. 615-622
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https://urn.kb.se/re...
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Abstract
Subject headings
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- In a recent author's paper four classes of methods of the secant type for solving systems of nonlinear equations were proposed. They are stable with respect to linear dependence of the search directions. If the Jacobian matrix is symmetric, then two of them take into account this property. It is proved here that some four special methods from the classes converge superlinearly.
Subject headings
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
Keyword
- nonlinear equations; secant method; quasi-Newton methods; superlinear convergence
Publication and Content Type
- ref (subject category)
- art (subject category)
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