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Region Analysis Approach for Constructing Solutions of Nonlinear Operator Equations(Dedicated to Professor You Zhaoyong for his 60th brithday)

Region Analysis Approach for Constructing Solutions of Nonlinear Operator Equations(Dedicated to Professor You Zhaoyong for his 60th brithday)
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摘要 Based on a variety of geometric observations for location of solutions, a general and unified region analysis framework for developing constructive solvability of nonlinear operator equations are proposed. Within this framework, the methods including interval, ball and ellipsoid methods can be studied in a unified way. The ball algorithm, as a typical example, is in particular analysed. Based on a variety of geometric observations for location of solutions, a general and unified region analysis framework for developing constructive solvability of nonlinear operator equations are proposed. Within this framework, the methods including interval, ball and ellipsoid methods can be studied in a unified way. The ball algorithm, as a typical example, is in particular analysed.
作者 M.A.Wolfe
出处 《工程数学学报》 CSCD 1991年第2期31-45,共15页 Chinese Journal of Engineering Mathematics
关键词 Geometric ESTIMATOR ball ALGORITHM REGION CONTRACTION ALGORITHM computable test for existence of solution special types of nonlinear operators Geometric estimator ball algorithm region contraction algorithm computable test for existence of solution special types of nonlinear operators
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