diff --git a/Project.toml b/Project.toml
index aa56f32..98fd09a 100644
--- a/Project.toml
+++ b/Project.toml
@@ -1,7 +1,7 @@
 name = "SuperLU"
 uuid = "149cae9a-b337-42bd-ac98-00096b14e8a3"
 authors = ["Kyungmin Lee <kyungmin.lee.42@gmail.com>"]
-version = "0.1.0"
+version = "0.1.1"
 
 [deps]
 CEnum = "fa961155-64e5-5f13-b03f-caf6b980ea82"
diff --git a/src/SuperLU.jl b/src/SuperLU.jl
index 1ac500a..1a44bac 100644
--- a/src/SuperLU.jl
+++ b/src/SuperLU.jl
@@ -3,6 +3,13 @@ module SuperLU
 using SparseArrays
 using LinearAlgebra
 
+const AdjointFact = isdefined(LinearAlgebra, :AdjointFactorization) ?
+    LinearAlgebra.AdjointFactorization :
+    Adjoint
+const TransposeFact = isdefined(LinearAlgebra, :TransposeFactorization) ?
+    LinearAlgebra.TransposeFactorization :
+    Transpose
+
 export splu
 
 include("libsuperlu_api.jl")
diff --git a/src/linalg.jl b/src/linalg.jl
index fa0ba43..323774f 100644
--- a/src/linalg.jl
+++ b/src/linalg.jl
@@ -4,18 +4,18 @@ function LinearAlgebra.ldiv!(a::LUDecomposition{Tv, SuperLUInt}, b::StridedVecOr
     return b
 end
 
-function LinearAlgebra.ldiv!(a::Transpose{Tv, LUDecomposition{Tv, SuperLUInt}}, b::StridedVecOrMat{Tv}) where {Tv}
+function LinearAlgebra.ldiv!(a::TransposeFact{Tv, LUDecomposition{Tv, SuperLUInt}}, b::StridedVecOrMat{Tv}) where {Tv}
     solve!(a.parent, b, TRANS)
     return b
 end
 
-function LinearAlgebra.ldiv!(a::Adjoint{Tv, LUDecomposition{Tv, SuperLUInt}}, b::StridedVecOrMat{Tv}) where {Tv}
+function LinearAlgebra.ldiv!(a::AdjointFact{Tv, LUDecomposition{Tv, SuperLUInt}}, b::StridedVecOrMat{Tv}) where {Tv}
     solve!(a.parent, b, CONJ)
     return b
 end
 
 # not sure why Julia only implements \ for NoTrans and Adjoint.
-function Base.:(\)(tF::Transpose{Tv,LUDecomposition{Tv, Ti}}, B::AbstractVecOrMat) where {Tv, Ti}
+function Base.:(\)(tF::TransposeFact{Tv,LUDecomposition{Tv, Ti}}, B::AbstractVecOrMat) where {Tv, Ti}
     Base.require_one_based_indexing(B)
     F = tF.parent
     TFB = typeof(oneunit(eltype(B)) / oneunit(eltype(F)))
diff --git a/src/types.jl b/src/types.jl
index f52bc63..ae06089 100644
--- a/src/types.jl
+++ b/src/types.jl
@@ -27,8 +27,10 @@ end
 Base.size(x::LUDecomposition) = (Int(x._L.nrow), Int(x._U.ncol))
 Base.size(x::LUDecomposition, i::Integer) = size(x)[i]
 
-Base.transpose(f::LUDecomposition) = Transpose(f)
-Base.adjoint(f::LUDecomposition) = Adjoint(f)
+Base.transpose(f::LUDecomposition) = TransposeFact(f)
+if !isdefined(LinearAlgebra, :AdjointFactorization) # VERSION < v"1.10-"
+    Base.adjoint(f::LUDecomposition) = Adjoint(f)
+end
 
 @inline function Base.getproperty(lu::LUDecomposition{Tv, Ti}, d::Symbol) where {Tv, Ti}
     if d == :L