diff --git a/src/R2_alg.jl b/src/R2_alg.jl
index 202b9f95..0ccb443c 100644
--- a/src/R2_alg.jl
+++ b/src/R2_alg.jl
@@ -290,10 +290,10 @@ function R2!(
     ξ = hk - mks + max(1, abs(hk)) * 10 * eps()
 
     if ξ ≥ 0 && k == 1
-      ϵ += ϵr * sqrt(ξ)  # make stopping test absolute and relative
+      ϵ += ϵr * sqrt(ξ/ν)  # make stopping test absolute and relative
     end
     
-    if (ξ < 0 && sqrt(-ξ) ≤ neg_tol) || (ξ ≥ 0 && sqrt(ξ) ≤ ϵ)
+    if (ξ < 0 && sqrt(-ξ/ν) ≤ neg_tol) || (ξ ≥ 0 && sqrt(ξ/ν) ≤ ϵ)
       optimal = true
       continue
     end
@@ -310,7 +310,8 @@ function R2!(
     if (verbose > 0) && (k % ptf == 0)
       #! format: off
       σ_stat = (η2 ≤ ρk < Inf) ? "↘" : (ρk < η1 ? "↗" : "=")
-      @info @sprintf "%6d %8.1e %8.1e %7.1e %8.1e %7.1e %7.1e %7.1e %1s" k fk hk sqrt(ξ) ρk σk norm(xk) norm(s) σ_stat
+      @info @sprintf "%6d %8.1e %8.1e %7.1e %8.1e %7.1e %7.1e %7.1e %1s" k fk hk sqrt(ξ/ν) ρk σk norm(xk) norm(s) σ_stat
+
       #! format: on
     end
 
@@ -347,9 +348,9 @@ function R2!(
       @info @sprintf "%6d %8.1e %8.1e" k fk hk
     elseif optimal
       #! format: off
-      @info @sprintf "%6d %8.1e %8.1e %7.1e %8s %7.1e %7.1e %7.1e" k fk hk sqrt(ξ) "" σk norm(xk) norm(s)
+      @info @sprintf "%6d %8.1e %8.1e %7.1e %8s %7.1e %7.1e %7.1e" k fk hk sqrt(ξ/ν) "" σk norm(xk) norm(s)
       #! format: on
-      @info "R2: terminating with √ξ = $(sqrt(ξ))"
+      @info "R2: terminating with √ξ/√ν = $(sqrt(ξ/ν))"
     end
   end