diff --git a/docs/source/how_to/how_to_algorithm_selection.ipynb b/docs/source/how_to/how_to_algorithm_selection.ipynb
index 1f5aa7172..3871379df 100644
--- a/docs/source/how_to/how_to_algorithm_selection.ipynb
+++ b/docs/source/how_to/how_to_algorithm_selection.ipynb
@@ -45,7 +45,7 @@
     "graph LR\n",
     "    classDef highlight fill:#FF4500;\n",
     "    A[\"Do you have<br/>nonlinear constraints?\"] -- yes --> B[\"differentiable?\"]\n",
-    "    B[\"Is your objective function differentiable?\"] -- yes --> C[\"'ipopt', 'nlopt_slsqp', 'scipy_trust_constr'\"]\n",
+    "    B[\"Is your objective function differentiable?\"] -- yes --> C[\"ipopt, nlopt_slsqp, scipy_trust_constr\"]\n",
     "    B[\"differentiable?\"] -- no --> D[\"'scipy_cobyla', 'nlopt_cobyla'\"]\n",
     "\n",
     "    A[\"Do you have<br/>nonlinear constraints?\"] -- no --> E[\"Can you exploit<br/>a least-squares<br/>structure?\"]\n",
@@ -56,7 +56,7 @@
     "    F[\"differentiable?\"] -- no --> I[\"'nag_dflos', 'pounders', 'tao_pounders'\"]\n",
     "\n",
     "    G[\"differentiable?\"] -- yes --> J[\"'scipy_lbfgsb', 'nlopt_lbfgsb', 'fides'\"]\n",
-    "    G[\"differentiable?\"] -- no --> K[\"test\"]\n",
+    "    G[\"differentiable?\"] -- no --> K[\"'nlopt_bobyqa', 'nlopt_neldermead', 'neldermead_parallel'\"]\n",
     "\n",
     "```\n",
     "\n",