diff --git a/Project.toml b/Project.toml
index b7cd762..4295113 100644
--- a/Project.toml
+++ b/Project.toml
@@ -1,6 +1,6 @@
 name = "ExtendableSparse"
 uuid = "95c220a8-a1cf-11e9-0c77-dbfce5f500b3"
-version = "2.3.0"
+version = "2.3.1"
 authors = ["Juergen Fuhrmann <juergen.fuhrmann@wias-berlin.de>", "Daniel Runge"]
 
 [deps]
@@ -23,7 +23,7 @@ ExtendableSparseLinearSolveExt = "LinearSolve"
 
 [compat]
 AMGCLWrap = "2"
-AlgebraicMultigrid = "0.4, 0.5, 0.6, 1"
+AlgebraicMultigrid = "0.4, 0.5, 0.6, 1, 2"
 Aqua = "0.8"
 BenchmarkTools = "1"
 ChunkSplitters = "2, 3"
@@ -36,9 +36,9 @@ IncompleteLU = "^0.2.1"
 InteractiveUtils = "1.11.0"
 IterativeSolvers = "0.9"
 LinearAlgebra = "1.10"
-LinearSolve = "2.36.0, 3.7.1"
+LinearSolve = "2.36.0, 3.7.1,4"
 Metis = "1"
-MultiFloats = "1, 2"
+MultiFloats = "1, 2, 3"
 OhMyThreads = "0.6, 0.7, 0.8"
 Printf = "1.10"
 Random = "1.10"
diff --git a/ext/ExtendableSparseIncompleteLUExt.jl b/ext/ExtendableSparseIncompleteLUExt.jl
index 53df7ac..c3bf71e 100644
--- a/ext/ExtendableSparseIncompleteLUExt.jl
+++ b/ext/ExtendableSparseIncompleteLUExt.jl
@@ -1,8 +1,8 @@
 module ExtendableSparseIncompleteLUExt
 using ExtendableSparse
-using IncompleteLU
+using IncompleteLU: IncompleteLU
 using LinearAlgebra: I
-using SparseArrays: AbstractSparseMatrixCSC, SparseMatrixCSC, getcolptr, rowvals, nonzeros
+using SparseArrays: AbstractSparseMatrixCSC, SparseMatrixCSC
 
 import ExtendableSparse: ILUTPreconBuilder
 
diff --git a/ext/ExtendableSparseLinearSolveExt.jl b/ext/ExtendableSparseLinearSolveExt.jl
index 66a0efd..58628ec 100644
--- a/ext/ExtendableSparseLinearSolveExt.jl
+++ b/ext/ExtendableSparseLinearSolveExt.jl
@@ -1,5 +1,5 @@
 module ExtendableSparseLinearSolveExt
-using LinearSolve
+using LinearSolve: LinearSolve, LinearProblem, solve!, init
 import ExtendableSparse: LinearSolvePreconBuilder
 import LinearAlgebra
 using SparseArrays: AbstractSparseMatrixCSC
diff --git a/test/alltests.jl b/test/alltests.jl
index 99b4e84..2ce179d 100644
--- a/test/alltests.jl
+++ b/test/alltests.jl
@@ -21,13 +21,31 @@ end
     @test ExplicitImports.check_no_implicit_imports(ExtendableSparse) === nothing
     @test ExplicitImports.check_all_explicit_imports_via_owners(ExtendableSparse) === nothing
     @static if VERSION >= v"1.11.0"
-        @test ExplicitImports.check_all_explicit_imports_are_public(ExtendableSparse, ignore = (:AbstractSparseMatrixCSC, :getcolptr, :indtype)) === nothing
+        @test ExplicitImports.check_all_explicit_imports_are_public(
+            ExtendableSparse,
+            ignore = (
+                :AbstractSparseMatrixCSC,
+                :getcolptr,
+                :indtype,
+            )
+        ) === nothing
     end
     @test ExplicitImports.check_no_stale_explicit_imports(ExtendableSparse) === nothing
     @test ExplicitImports.check_all_qualified_accesses_via_owners(ExtendableSparse) === nothing
     @test ExplicitImports.check_all_qualified_accesses_are_public(
         ExtendableSparse,
-        ignore = (:AbstractSparseMatrixCSC, :AbstractTriangular, :getcolptr, :Forward, :USE_GPL_LIBS, :_checkbuffers, :print_array, :sparse!, :indtype)
+        ignore = (
+            :AbstractSparseMatrixCSC,
+            :AbstractTriangular,
+            :getcolptr,
+            :Forward,
+            :USE_GPL_LIBS,
+            :_checkbuffers,
+            :print_array,
+            :sparse!,
+            :indtype,
+            :AbstractFactorization,
+        )
     ) === nothing
     @test ExplicitImports.check_no_self_qualified_accesses(ExtendableSparse) === nothing
 end
diff --git a/test/test_block.jl b/test/test_block.jl
index f147cb3..c43dbec 100644
--- a/test/test_block.jl
+++ b/test/test_block.jl
@@ -2,7 +2,7 @@ module test_block
 using Test
 using ExtendableSparse
 using ExtendableSparse: BlockPreconditioner, jacobi
-using ILUZero, AlgebraicMultigrid
+using ILUZero
 using IterativeSolvers
 using LinearAlgebra
 using Sparspak
diff --git a/test/test_prod.jl b/test/test_prod.jl
index d4e9af7..26e287c 100644
--- a/test/test_prod.jl
+++ b/test/test_prod.jl
@@ -7,18 +7,12 @@ using LinearAlgebra
 using Random
 
 function main(; n = 100)
-    seed = 1340
+    seed = 1341
     Random.seed!(seed)
     A = fdrand(n, n)
     sol0 = ones(n^2)
     b = A * sol0
 
-    # need to reinit random so the shadow residual is the same for all calls
-    Random.seed!(seed)
-    sol1, hist1 = bicgstabl(A, b, log = true)
-    @test sol1 ≈ sol0 rtol = 1.0e-5
-    @show hist1
-
 
     IdB = IdentityPreconBuilder()
     IluB = ILUZeroPreconBuilder()
@@ -26,12 +20,37 @@ function main(; n = 100)
     ProdB2 = ProductPreconBuilder(IluB, IdB)
     ProdB3 = ProductPreconBuilder(IluB, IluB)
 
+
+    p1, _ = IluB(A, nothing)
+    pp, _ = ProdB3(A, nothing)
+    x0 = rand(n^2)
+    r0 = A * x0 - b
+    d0 = ldiv!(p1, r0)
+    x1 = x0 - d0
+    r1 = A * x1 - b
+    d1 = ldiv!(p1, r1)
+    x2 = x1 - d1
+
+    rp0 = A * x0 - b
+    dp0 = ldiv!(pp, rp0)
+    y1 = x0 - dp0
+
+    @test norm(x2 - y1, Inf) ≈ 0 atol = 5.0e-14
+
+    # need to reinit random so the shadow residual is the same for all calls
+    Random.seed!(seed)
+    sol1, hist1 = bicgstabl(A, b, log = true)
+    @test sol1 ≈ sol0 rtol = 1.0e-5
+    @show hist1
+
+
     IdP, _ = IdB(A, 0)
     Random.seed!(seed)
     sol2, hist2 = bicgstabl(A, b, Pl = IdP, log = true)
     @test sol2 ≈ sol0  rtol = 1.0e-5
     @show hist2
-    @test hist2.iters ≈ hist1.iters atol = 5
+    @test hist2.iters ≈ hist1.iters atol = 6
+
 
     IluP, _ = IluB(A, 0)
     Random.seed!(seed)