diff --git a/math/mathmore/inc/Math/GSLMultiRootFinder.h b/math/mathmore/inc/Math/GSLMultiRootFinder.h
index 65b04e0514774..1f5b1d2f5cf09 100644
--- a/math/mathmore/inc/Math/GSLMultiRootFinder.h
+++ b/math/mathmore/inc/Math/GSLMultiRootFinder.h
@@ -231,9 +231,9 @@ namespace Math {
     /// Return the status of last root finding
     int Status() const { return fStatus; }
 
-    /// Return the algorithm name used for solving
-    /// Note the name is available only after having called solved
-    /// Otherwise an empyty string is returned
+    /// Return the name of the algorithm used for solving
+    /// Note that the name is only available after Solve()
+    /// has been called. Returns nullptr if called before Solve().
     const char * Name() const;
 
     /*
diff --git a/math/mathmore/src/GSLMultiRootFinder.cxx b/math/mathmore/src/GSLMultiRootFinder.cxx
index 3aeef0b0a2773..255736975db23 100644
--- a/math/mathmore/src/GSLMultiRootFinder.cxx
+++ b/math/mathmore/src/GSLMultiRootFinder.cxx
@@ -158,7 +158,7 @@ const double * GSLMultiRootFinder::FVal() const {
 }
 const char * GSLMultiRootFinder::Name() const {
    // get GSL name
-   return (fSolver != 0) ? fSolver->Name().c_str() : "";
+   return (fSolver != 0) ? fSolver->Name().c_str() : nullptr;
 }
 
 // bool GSLMultiRootFinder::AddFunction( const ROOT::Math::IMultiGenFunction & func) {