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Zbl 0398.65029
Chow, Shui-Nee; Mallet-Paret, John; Yorke, James A.
Finding zeroes of maps: homotopy methods that are constructive with probability one.
(English)
[J] Math. Comput. 32, 887-899 (1978). ISSN 0025-5718; ISSN 1088-6842/e

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MSC 2000:
*65H10 Systems of nonlinear equations (numerical methods)
54C25 Imbedding of topological spaces
34B15 Nonlinear boundary value problems of ODE
55M25 Degree, etc.

Keywords: continuation methods; nonlinear equations; homotopy path; degree theory; zeroes of a mapping; two-point boundary value problems; nonlinear ordinary differential equations

Cited in: Zbl 0840.65038 Zbl 0704.65037 Zbl 0683.65038 Zbl 0575.90073 Zbl 0573.90088 Zbl 0462.65032 Zbl 0456.65025 Zbl 0449.65020 Zbl 0446.65021 Zbl 0445.65032 Zbl 0445.65031 Zbl 0438.65069 Zbl 0408.65032

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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