diff --git a/docker/Dockerfile.llvm b/docker/Dockerfile.llvm
index 005f24b1d..5dc79f757 100644
--- a/docker/Dockerfile.llvm
+++ b/docker/Dockerfile.llvm
@@ -1,4 +1,5 @@
 FROM fedora:37
+# We need llvm version 15.0.7
 
 RUN dnf -y update \
     && dnf -y install \
@@ -9,7 +10,7 @@ RUN dnf -y update \
         git \
         make \
         zlib-devel \
-        llvm-devel \
+        llvm-devel \ 
         openmpi-devel \
         valgrind \
     && dnf clean all
diff --git a/include/micm/jit/solver/jit_lu_decomposition.inl b/include/micm/jit/solver/jit_lu_decomposition.inl
index 9c4c94bfd..4f3317830 100644
--- a/include/micm/jit/solver/jit_lu_decomposition.inl
+++ b/include/micm/jit/solver/jit_lu_decomposition.inl
@@ -71,6 +71,10 @@ namespace micm
     auto lki_nkj = lki_nkj_.begin();
     auto lkj_uji = lkj_uji_.begin();
     auto uii = uii_.begin();
+
+    llvm::Value *sentinel_value =
+        llvm::ConstantInt::get(*(func.context_), llvm::APInt(64, std::numeric_limits<std::size_t>::max()));
+
     for (auto &inLU : niLU_)
     {
       // Upper triangular matrix
@@ -83,10 +87,16 @@ namespace micm
           llvm::Value *A_ptr_index[1];
           A_ptr_index[0] = func.builder_->CreateNSWAdd(loop.index_, iAf);
           llvm::Value *A_val = func.GetArrayElement(func.arguments_[0], A_ptr_index, JitType::Double);
+
+          // Check for sentinel value
+          auto check_sentinel = func.builder_->CreateICmpEQ(iAf, sentinel_value);
+          auto A_val_not_zero = func.builder_->CreateSelect(
+              check_sentinel, llvm::ConstantFP::get(*(func.context_), llvm::APFloat(0.0)), A_val);
+
           llvm::Value *iUf = llvm::ConstantInt::get(*(func.context_), llvm::APInt(64, uik_nkj->first));
           llvm::Value *U_ptr_index[1];
           U_ptr_index[0] = func.builder_->CreateNSWAdd(loop.index_, iUf);
-          func.SetArrayElement(func.arguments_[2], U_ptr_index, JitType::Double, A_val);
+          func.SetArrayElement(func.arguments_[2], U_ptr_index, JitType::Double, A_val_not_zero);
           func.EndLoop(loop);
         }
         for (std::size_t ikj = 0; ikj < uik_nkj->second; ++ikj)
@@ -131,10 +141,16 @@ namespace micm
           llvm::Value *A_ptr_index[1];
           A_ptr_index[0] = func.builder_->CreateNSWAdd(loop.index_, iAf);
           llvm::Value *A_val = func.GetArrayElement(func.arguments_[0], A_ptr_index, JitType::Double);
+
+          // Check for sentinel value
+          auto check_sentinel = func.builder_->CreateICmpEQ(iAf, sentinel_value);
+          auto A_val_not_zero = func.builder_->CreateSelect(
+              check_sentinel, llvm::ConstantFP::get(*(func.context_), llvm::APFloat(0.0)), A_val);
+
           llvm::Value *iLf = llvm::ConstantInt::get(*(func.context_), llvm::APInt(64, lki_nkj->first));
           llvm::Value *L_ptr_index[1];
           L_ptr_index[0] = func.builder_->CreateNSWAdd(loop.index_, iLf);
-          func.SetArrayElement(func.arguments_[1], L_ptr_index, JitType::Double, A_val);
+          func.SetArrayElement(func.arguments_[1], L_ptr_index, JitType::Double, A_val_not_zero);
           func.EndLoop(loop);
         }
         for (std::size_t ikj = 0; ikj < lki_nkj->second; ++ikj)