diff --git a/test/minimization.jl b/test/minimization.jl
new file mode 100644
index 0000000..98224dc
--- /dev/null
+++ b/test/minimization.jl
@@ -0,0 +1,31 @@
+using Test
+using GSL
+
+@testset "1d minimization" begin
+    f = x -> cos(x) + one(x)
+    @testset "fminimizer $name" for (alg, name) in [
+        (gsl_min_fminimizer_goldensection, "goldensection")
+        (gsl_min_fminimizer_brent, "brent")
+        (gsl_min_fminimizer_quad_golden, "quad-golden")
+    ]
+        m, m_exact = 2.0, pi
+        a, b = 0.0, 6.0
+        epsabs, epsrel = 1e-3, 0e-0
+        s = GSLMinFMinimizer(alg)
+        @test min_fminimizer_name(s) == name
+        min_fminimizer_set(s, f, m, a, b)
+
+        maxiter = 100
+        status = converged = 0
+        for i in 1:maxiter
+            status = min_fminimizer_iterate(s)
+            m = min_fminimizer_x_minimum(s)
+            a = min_fminimizer_x_lower(s)
+            b = min_fminimizer_x_upper(s)
+            converged = min_test_interval(a, b, epsabs, epsrel)
+            status == converged == GSL_SUCCESS && break
+        end
+        @test status == converged == GSL_SUCCESS
+        @test m ≈ m_exact atol=epsabs rtol=epsrel
+    end
+end
diff --git a/test/runtests.jl b/test/runtests.jl
index 96aa445..59b66a7 100644
--- a/test/runtests.jl
+++ b/test/runtests.jl
@@ -17,4 +17,5 @@ Random.seed!(1)
     include("rootfinding.jl")
     include("specfunc.jl")
     include("chebyshev.jl")
+    include("minimization.jl")
 end