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Finds the nearest positive semi-definite matrix with respect to the max norm

Usage

ADMM_proj(
  mat,
  epsilon = 1e-04,
  mu = 10,
  it.max = 1000,
  etol = 1e-04,
  etol_distance = 1e-04
)

Arguments

mat

Matrix to be projected

epsilon

Approximation of the space of positive semi-definite matrix at epsilon

mu

Penalty parameter of ADMM algorithm

it.max

Number maximum of iterations

etol

Tolerance parameter for the convergence of primal and dual residual

etol_distance

Tolerance parameter for the convergence of the distance

Value

list containing

  • mat Projected matrix

  • df_ADMM dataframe containing parameters of the ADMM algorithm for each iteration of the algorithm