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Griewank, A. O.

Starlike domains of convergence for Newton’s method at singularities. (English) Zbl 0419.65034

Numer. Math. 35, 95-111 (1980).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0419.65034

Cited in 2 Reviews
Cited in 27 Documents

MSC:

65H10 Numerical computation of solutions to systems of equations

Keywords:

system of nonlinear equations; starlike domain; Newton’s method; singular Jacobian
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Full Text: DOI EuDML

References:

[1] Cavanagh R (1970) Difference equations and iterative methods. PhD Diss Univ of Maryland, College Park, MD
[2] Decker DW, Kelly, CT (1980) Newton’s method at, singular points.I. SINUM 17: 66-70
[3] Goldstein A (1967) Constructive real analysis. Harper and Row New York · Zbl 0189.49703
[4] Griewank A, Osborne MR (1980). On Newton’s method for singular problems. SIAM (in press)
[5] Ortega JM, Reinboldt WC (1970) Iterative solution of nonlinear equations in several variables. Academic Press, New York
[6] Rall L (1966) Convergence of the newton process to multiple solutions. Numer Math 9:23-27 · Zbl 0163.38702 · doi:10.1007/BF02165226
[7] Reddien GW (1978) On Newton’s method for singular problems. SINUM 15:993-996 · Zbl 0397.65042
[8] Reddien GW (1979) Newton’s method and high order singularities. Comput Math Appl 5:79-86 · Zbl 0436.65032 · doi:10.1016/0898-1221(79)90061-0
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