diff --git a/scico/optimize/_admm.py b/scico/optimize/_admm.py
index 5a0a86e81..7409b94f9 100644
--- a/scico/optimize/_admm.py
+++ b/scico/optimize/_admm.py
@@ -222,7 +222,7 @@ def objective(
                 :code:`self.z_list`.
 
         Returns:
-            scalar: Current value of the objective function.
+            scalar: Value of the objective function.
         """
         if (x is None) != (z_list is None):
             raise ValueError("Both or neither of x and z_list must be supplied")
@@ -252,7 +252,7 @@ def norm_primal_residual(self, x: Optional[Union[JaxArray, BlockArray]] = None)
                 current iterate :code:`self.x`.
 
         Returns:
-            Current value of primal residual.
+            Norm of primal residual.
         """
         if x is None:
             x = self.x
@@ -272,7 +272,7 @@ def norm_dual_residual(self) -> float:
             \mb{z}^{(k-1)}_i}_2^2\right)^{1/2} \;.
 
         Returns:
-            Current value of dual residual.
+            Current norm of dual residual.
 
         """
         out = 0.0
@@ -306,7 +306,10 @@ def u_init(self, x0: Union[JaxArray, BlockArray]) -> List[Union[JaxArray, BlockA
         Initialized to
 
         .. math::
-            \mb{u}_i = C_i \mb{x}^{(0)} \;.
+            \mb{u}_i = \mb{0} \;.
+
+        Note that the parameter `x0` is unused, but is provided for
+        potential use in an overridden method.
 
         Args:
             x0: Initial value of :math:`\mb{x}`.
diff --git a/scico/optimize/_ladmm.py b/scico/optimize/_ladmm.py
index a2d71fafd..5c52fed1b 100644
--- a/scico/optimize/_ladmm.py
+++ b/scico/optimize/_ladmm.py
@@ -190,7 +190,7 @@ def objective(
                iterate :code:`self.z`.
 
         Returns:
-            scalar: Current value of the objective function.
+            scalar: Value of the objective function.
         """
         if (x is None) != (z is None):
             raise ValueError("Both or neither of x and z must be supplied")
@@ -217,7 +217,7 @@ def norm_primal_residual(self, x: Optional[Union[JaxArray, BlockArray]] = None)
                :code:`self.x`.
 
         Returns:
-            Current value of primal residual.
+            Norm of primal residual.
         """
         if x is None:
             x = self.x
@@ -233,7 +233,7 @@ def norm_dual_residual(self) -> float:
             \norm{\mb{z}^{(k)} - \mb{z}^{(k-1)}}_2 \;.
 
         Returns:
-            Current value of dual residual.
+            Current norm of dual residual.
         """
         return norm(self.C.adj(self.z - self.z_old))
 
@@ -262,8 +262,10 @@ def u_init(self, x0: Union[JaxArray, BlockArray]) -> Union[JaxArray, BlockArray]
         Initialized to
 
         .. math::
-            \mb{u} = C \mb{x}^{(0)} \;.
+            \mb{u} = \mb{0} \;.
 
+        Note that the parameter `x0` is unused, but is provided for
+        potential use in an overridden method.
 
         Args:
             x0: Starting point for :math:`\mb{x}`.
diff --git a/scico/optimize/_primaldual.py b/scico/optimize/_primaldual.py
index 9c4f94eec..244788ccd 100644
--- a/scico/optimize/_primaldual.py
+++ b/scico/optimize/_primaldual.py
@@ -204,7 +204,7 @@ def objective(
                 :code:`self.x`
 
         Returns:
-            scalar: Current value of the objective function.
+            scalar: Value of the objective function.
         """
         if x is None:
             x = self.x
@@ -220,7 +220,7 @@ def norm_primal_residual(self) -> float:
             \tau^{-1} \norm{\mb{x}^{(k)} - \mb{x}^{(k-1)}}_2 \;.
 
         Returns:
-            Current value of primal residual.
+            Current norm of primal residual.
         """
 
         return norm(self.x - self.x_old) / self.tau  # type: ignore
@@ -234,7 +234,7 @@ def norm_dual_residual(self) -> float:
             \sigma^{-1} \norm{\mb{z}^{(k)} - \mb{z}^{(k-1)}}_2 \;.
 
         Returns:
-            Current value of dual residual.
+            Current norm of dual residual.
 
         """
         return norm(self.z - self.z_old) / self.sigma