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Spingarn's Method and Progressive Decoupling Beyond Elicitable Monotonicity

  • Spingarn's method and progressive decoupling algorithm address inclusion problems involving the sum of an operator and the normal cone of a linear subspace.
  • This paper introduces progressive decoupling+ which incorporates separate relaxation parameters for the linkage subspace and its orthogonal complement.
  • The convergence of progressive decoupling+ is proven under conditions linking relaxation parameters to the nonmonotonicity of their respective subspaces.
  • The analysis shows that Spingarn's method and standard progressive decoupling also extend beyond the elicitable monotone setting.

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