diff --git a/Eigen/src/Core/arch/AVX512/PacketMath.h b/Eigen/src/Core/arch/AVX512/PacketMath.h
index 3c673477f..13cb108eb 100644
--- a/Eigen/src/Core/arch/AVX512/PacketMath.h
+++ b/Eigen/src/Core/arch/AVX512/PacketMath.h
@@ -263,14 +263,14 @@ EIGEN_STRONG_INLINE Packet8d pmax<Packet8d>(const Packet8d& a,
 }
 
 #ifdef EIGEN_VECTORIZE_AVX512DQ
-template<int I> Packet8f extract256(Packet16f x) { return _mm512_extractf32x8_ps(x,I); }
-Packet16f cat256(Packet8f a, Packet8f b) { return _mm512_insertf32x8(_mm512_castps256_ps512(a),b,1); }
+template<int I> EIGEN_STRONG_INLINE Packet8f extract256(Packet16f x) { return _mm512_extractf32x8_ps(x,I); }
+EIGEN_STRONG_INLINE Packet16f cat256(Packet8f a, Packet8f b) { return _mm512_insertf32x8(_mm512_castps256_ps512(a),b,1); }
 #else
 // AVX512F does not define _mm512_extractf32x8_ps to extract _m256 from _m512
-template<int I> Packet8f extract256(Packet16f x) {
+template<int I> EIGEN_STRONG_INLINE Packet8f extract256(Packet16f x) {
   return  _mm256_castsi256_ps(_mm512_extracti64x4_epi64( _mm512_castps_si512(x),I));
 }
-Packet16f cat256(Packet8f a, Packet8f b) {
+EIGEN_STRONG_INLINE Packet16f cat256(Packet8f a, Packet8f b) {
   return _mm512_castsi512_ps(_mm512_inserti64x4(_mm512_castsi256_si512(_mm256_castps_si256(a)),
                                                 _mm256_castps_si256(b),1));
 }