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• W3172525856 abstract "Many iterative methods in applied mathematics can be thought of as fixed-point iterations, and such algorithms are usually analyzed analytically, with inequalities. In this paper, we present a geometric approach to analyzing contractive and nonexpansive fixed point iterations with a new tool called the scaled relative graph (SRG). The SRG provides a correspondence between nonlinear operators and subsets of the 2D plane. Under this framework, a geometric argument in the 2D plane becomes a rigorous proof of convergence." @default.
• W3172525856 created "2021-06-22" @default.
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• W3172525856 date "2021-06-02" @default.
• W3172525856 modified "2023-09-26" @default.
• W3172525856 title "Scaled relative graphs: nonexpansive operators via 2D Euclidean geometry" @default.
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• W3172525856 doi "https://doi.org/10.1007/s10107-021-01639-w" @default.
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