Browse research papers in Numerical Analysis - Mathematics Discover 1 academic papers with AI-powered analysis

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Mathematics

Numerical Analysis

The development and analysis of algorithms for numerical computation, including error analysis, stability, convergence, and efficient methods for solving mathematical problems computationally

1 paper in this specialization

Paperzilla Papers in Numerical Analysis

Exact Optimal Accelerated Complexity for Fixed-Point Iterations

This paper introduces an accelerated method and a matching complexity lower bound for fixed-point iterations, proving its optimality under specific conditions like nonexpansive and contractive operators. The acceleration also extends to some settings where the operator exhibits Hölder-type growth. Practical experiments demonstrate some effectiveness, though further research is needed to assess the real-world impact across different problem domains and suboptimality measures.