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Stable versions of ...
Stable versions of the secants method for solving systems of equations
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- Burdakov, Oleg, 1953- (author)
- Computing Center, USSR Academy of Sciences, Moscow
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(creator_code:org_t)
- Elsevier, 1983
- 1983
- English.
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In: Computational Mathematics and Mathematical Physics. - : Elsevier. - 0965-5425 .- 1555-6662. ; 23:5, s. 1-10
- Related links:
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https://urn.kb.se/re...
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https://doi.org/10.1...
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Abstract
Subject headings
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- An interpretation of quasi-Newton methods of solving sets of equations is given, and provides the basis of four versions of the secantsmethod, stable with respect to a linear dependence of the directions of motion. The first version involves an approximation of the matrix of first derivatives (the Jacobi matrix), and the second an approximation of the inverse Jacobi matrix. The other two versions are aimed at solving sets of equations with symmetric Jacobi matrix. The stability of the versions is proved.
Subject headings
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
Publication and Content Type
- ref (subject category)
- art (subject category)
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