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Nesterov Acceleration with Operator Decomposition

math.OC · 2026-04-13 · unverdicted · novelty 6.0

NOD extends Nesterov acceleration to strongly monotone operators by Asplund decomposition into cyclically monotone and monotone parts, achieving iteration complexity Θ(√(L_φ/μ + L_S²/μ²) log(1/ε)).

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  • Nesterov Acceleration with Operator Decomposition math.OC · 2026-04-13 · unverdicted · none · ref 8

    NOD extends Nesterov acceleration to strongly monotone operators by Asplund decomposition into cyclically monotone and monotone parts, achieving iteration complexity Θ(√(L_φ/μ + L_S²/μ²) log(1/ε)).