Computing a Fixed Point of Contraction Maps in Polynomial Queries

Xi Chen; Yuhao Li; Mihalis Yannakakis

doi:10.1145/3744738

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arXiv · 2403.19911

Computing a Fixed Point of Contraction Maps in Polynomial Queries

Xi Chen·Yuhao Li·Mihalis Yannakakis

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Abstract

We give an algorithm for finding an $\epsilon$-fixed point of a contraction map $f:[0,1]^k\mapsto[0,1]^k$ under the $\ell_\infty$-norm with query complexity $O (k\log (1/\epsilon ) )$.

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Xi Chen, Yuhao Li, Mihalis Yannakakis. 2024-03-29. Computing a Fixed Point of Contraction Maps in Polynomial Queries. https://doi.org/10.1145/3744738

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