A relation between Newton and Gauss-Newton steps for singular nonlinear equations

Annegret Hoy

doi:10.1007/bf02242187

A relation between Newton and Gauss-Newton steps for singular nonlinear equations

Computing ◽

10.1007/bf02242187 ◽

1988 ◽

Vol 40 (1) ◽

pp. 19-27 ◽

Cited By ~ 5

Author(s):

Annegret Hoy

Keyword(s):

Nonlinear Equations ◽

Singular Nonlinear Equations

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A New Approach for Solving Singular Nonlinear Equations

Bifurcation and Symmetry ◽

10.1007/978-3-0348-7536-3_16 ◽

1992 ◽

pp. 179-189

Author(s):

Annegret Hoy

Keyword(s):

Nonlinear Equations ◽

New Approach ◽

Singular Nonlinear Equations

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An efficiently implementable Gauss-Newton-like method for solving singular nonlinear equations

Computing ◽

10.1007/bf02238733 ◽

1989 ◽

Vol 41 (1-2) ◽

pp. 107-122 ◽

Cited By ~ 9

Author(s):

Annegret Hoy

Keyword(s):

Nonlinear Equations ◽

Singular Nonlinear Equations

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A remark concerning Mei Zhen's paper on singular nonlinear equations

Computing ◽

10.1007/bf02241273 ◽

1990 ◽

Vol 44 (4) ◽

pp. 357-364

Author(s):

Annegret Hoy

Keyword(s):

Nonlinear Equations ◽

Singular Nonlinear Equations

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Direct Methods for Solving Singular Nonlinear Equations

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik ◽

10.1002/(sici)1521-4001(199904)79:4<219::aid-zamm219>3.0.co;2-r ◽

1999 ◽

Vol 79 (4) ◽

pp. 219-231 ◽

Cited By ~ 3

Author(s):

E.L. Allgower ◽

K. Böhmer ◽

A. Hoy ◽

V. Janovský

Keyword(s):

Nonlinear Equations ◽

Direct Methods ◽

Singular Nonlinear Equations

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A Nagumo-type theorem for a class of singular nonlinear equations

Complex Differential and Difference Equations ◽

10.1515/9783110611427-017 ◽

2019 ◽

pp. 409-418

Keyword(s):

Nonlinear Equations ◽

Type Theorem ◽

Singular Nonlinear Equations

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Newton's method for singular nonlinear equations using approximate left and right nullspaces of the Jacobian

Applied Numerical Mathematics ◽

10.1016/j.apnum.2004.09.029 ◽

2005 ◽

Vol 54 (2) ◽

pp. 256-265 ◽

Cited By ~ 15

Author(s):

Yun-Qiu Shen ◽

Tjalling J. Ypma

Keyword(s):

Nonlinear Equations ◽

Newton’S Method ◽

Newton's Method ◽

Left And Right ◽

Singular Nonlinear Equations

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A special extended system and a Newton-like method for simple singular nonlinear equations

Computing ◽

10.1007/bf02247881 ◽

1990 ◽

Vol 45 (2) ◽

pp. 157-167 ◽

Cited By ~ 2

Author(s):

Z. Mei

Keyword(s):

Nonlinear Equations ◽

Extended System ◽

Singular Nonlinear Equations

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Effective computation of exact and analytic approximate solutions to singular nonlinear equations of Lane–Emden–Fowler type

Applied Mathematical Modelling ◽

10.1016/j.apm.2013.02.014 ◽

2013 ◽

Vol 37 (14-15) ◽

pp. 7539-7548 ◽

Cited By ~ 27

Author(s):

M. Turkyilmazoglu

Keyword(s):

Nonlinear Equations ◽

Approximate Solutions ◽

Singular Nonlinear Equations

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Singular nonlinear equations on an unbounded interval

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(80)90254-1 ◽

1980 ◽

Vol 77 (2) ◽

pp. 642-653 ◽

Cited By ~ 2

Author(s):

S.N Chow ◽

J.C Kurtz

Keyword(s):

Nonlinear Equations ◽

Unbounded Interval ◽

Singular Nonlinear Equations

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On the multi-point Levenberg–Marquardt method for singular nonlinear equations

Computational and Applied Mathematics ◽

10.1007/s40314-015-0221-8 ◽

2015 ◽

Vol 36 (1) ◽

pp. 203-223 ◽

Cited By ~ 2

Author(s):

Xin Zhao ◽

Jinyan Fan

Keyword(s):

Nonlinear Equations ◽

Marquardt Method ◽

Levenberg Marquardt ◽

Singular Nonlinear Equations

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