Correct xi in SolverCore.solve! in LM and R2N solvers

Author: MohamedLaghdafHABIBOULLAH

.gitignore

@@ -0,0 +1 @@
+Manifest.toml

src/LM_alg.jl

@@ -300,7 +300,7 @@ function SolverCore.solve!(
   end
 
   mk = let ψ = ψ, solver = solver
-    d -> obj(solver.subpb.model, d) + ψ(d)
+    d -> obj(solver.subpb.model, d) - 1/2 * σk * dot(d, d) + ψ(d)
   end
 
   prox!(s, ψ, mν∇fk, ν)

src/R2N.jl

@@ -327,7 +327,7 @@ function SolverCore.solve!(
   end
 
   mk = let ψ = ψ, solver = solver
-    d -> obj(solver.subpb.model, d) + ψ(d)::T
+    d -> obj(solver.subpb.model, d) - 1/2 * σk * dot(d, d) + ψ(d)::T
   end
 
   prox!(s1, ψ, mν∇fk, ν₁)