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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2012, Volume 52, Number 8, Pages 1457–1471 (Mi zvmmf9698)  
This article is cited in 9 scientific papers (total in 9 papers)

Continuation of solutions in multiparameter approximation of curves and surfaces

E. B. Kuznetsov

Moscow State Aviation Institute, Volokolamskoe sh. 4, Moscow, 125993 Russia
Full-text PDF (284 kB) Citations (9)
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Abstract: When a system of nonlinear algebraic or transcendental equations with several parameters is solved numerically, the best parameters within the framework of the continuation method have to be sought in the tangent space of the solution set of this system. More specifically, these parameters have to be sought in the directions of the eigenvectors of a linear self-adjoint transformation. Algorithms for the best parametrization of curves and surfaces are proposed. Numerical examples of parametric interpolation of surfaces confirm previously known theoretical results.
Key words: parametric system of nonlinear equations, best parameters, splines, parametrization of curves, parametrization of surfaces.
Received: 02.02.2012
English version:
Computational Mathematics and Mathematical Physics, 2012, Volume 52, Issue 8, Pages 1149–1162
DOI: https://doi.org/10.1134/S0965542512080076
Bibliographic databases:
Document Type: Article
UDC: 519.674
Language: Russian
Citation: E. B. Kuznetsov, “Continuation of solutions in multiparameter approximation of curves and surfaces”, Zh. Vychisl. Mat. Mat. Fiz., 52:8 (2012), 1457–1471; Comput. Math. Math. Phys., 52:8 (2012), 1149–1162
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    Abstract page:463
    Full-text PDF :120
    References:89
    First page:14
     
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