diff --git a/StgSharp.Common/Mathematics/Linear/Matrix.Basic.cs b/StgSharp.Common/Mathematics/Linear/Matrix.Basic.cs
index 0cb4baf3..ccc5db76 100644
--- a/StgSharp.Common/Mathematics/Linear/Matrix.Basic.cs
+++ b/StgSharp.Common/Mathematics/Linear/Matrix.Basic.cs
@@ -52,9 +52,27 @@ namespace StgSharp.Mathematics
                 unsafe
                 {
                     MatrixParallelTaskPackage* handle = MatrixParallelFactory.CreateBaseTask();
-                    handle->Left = left.;
-                    handle->Right = right.Kernel;
+                    handle->Left = left.Buffer;
+                    handle->Right = right.Buffer;
+                    handle->Result = result.Buffer;
+                    handle->ComputeHandle = (IntPtr)InternalIO.Intrinsic.kernel_add;
+                    handle->LeftPrimOffset = 0;
+                    handle->RightPrimOffset = 0;
+                    handle->LeftPrimStride = left.KernelColumnLength;
+                    handle->LeftSecOffset = 1;
+                    handle->LeftPrimOffset = 0;
+                    handle->RightPrimOffset = 0;
+                    handle->RightPrimStride = right.KernelColumnLength;
+                    handle->RightSecOffset = 1;
+                    handle->RightPrimOffset = 0;
+                    handle->ResultPrimOffset = 0;
+                    handle->ResultPrimStride = result.KernelColumnLength;
+                    handle->ResultSecOffset = 1;
+                    handle->ResultPrimOffset = 0;
+                    handle->PrimCount = left.KernelRowLength;
+                    handle->SecCount = left.KernelColumnLength;
                 }
+
                 MatrixParallel.LaunchParallel(SleepMode.DeepSleep);
                 return result;
             }
diff --git a/StgSharp.Common/Mathematics/Linear/Matrix.cs b/StgSharp.Common/Mathematics/Linear/Matrix.cs
index fd9312ab..87147455 100644
--- a/StgSharp.Common/Mathematics/Linear/Matrix.cs
+++ b/StgSharp.Common/Mathematics/Linear/Matrix.cs
@@ -33,7 +33,8 @@ using System;
 using System.Numerics;
 using System.Runtime.CompilerServices;
 using hlsfAllocator = global::StgSharp.HighPerformance.Memory.HybridLayerSegregatedFitAllocator;
-using hlsfHandle = global::StgSharp.HighPerformance.Memory.HybridLayerSegregatedFitAllocationHandle;
+
+// using hlsfHandle = global::StgSharp.HighPerformance.Memory.HybridLayerSegregatedFitAllocationHandle;
 
 namespace StgSharp.Mathematics
 {
@@ -67,17 +68,23 @@ namespace StgSharp.Mathematics
             set;
         } = null;
 
+        /// <summary>
+        ///   Length of the matrix in columns.
+        /// </summary>
         public int ColumnLength { get; init; }
 
+        /// <summary>
+        ///   Length of the matrix in rows.
+        /// </summary>
         public int RowLength { get; init; }
 
         public static MatrixAllocation DefaultAllocation { get; set; } = MatrixAllocation.GC;
 
         internal abstract MatrixKernel* Buffer { get; }
 
-        protected int KernelColumnLength { get; init; }
+        protected internal int KernelColumnLength { get; init; }
 
-        protected int KernelRowLength { get; init; }
+        protected internal int KernelRowLength { get; init; }
 
         public static Matrix<T> FromDefault(int columnLength, int rowLength)
         {
diff --git a/StgSharp.Common/Mathematics/Linear/MatrixParallel.TaskFactory.cs b/StgSharp.Common/Mathematics/Linear/MatrixParallel.TaskFactory.cs
index 94234752..9475dc90 100644
--- a/StgSharp.Common/Mathematics/Linear/MatrixParallel.TaskFactory.cs
+++ b/StgSharp.Common/Mathematics/Linear/MatrixParallel.TaskFactory.cs
@@ -28,19 +28,33 @@
 //     
 // -----------------------------------------------------------------------
 // -----------------------------------------------------------------------
+using StgSharp.HighPerformance;
 using StgSharp.HighPerformance.Memory;
 using System;
 using System.Collections.Generic;
 using System.Linq;
 using System.Runtime.CompilerServices;
 using System.Text;
+using System.Threading;
 using System.Threading.Tasks;
 
+using hlsfAllocator = StgSharp.HighPerformance.Memory.HybridLayerSegregatedFitAllocator;
+
 namespace StgSharp.Mathematics
 {
     internal static unsafe class MatrixParallelFactory
     {
 
+        private static hlsfAllocator _intermediateResult;
+
+        private static
+#if NET9_0_OR_GREATER
+            Lock
+#else
+            object
+#endif
+            _hlsfLock = new();
+
         private static SlabAllocator<ScalarPacket> _scalarAllocator ;
 
         private static SlabAllocator<MatrixParallelTaskPackage> _wrapAllocator ;
@@ -49,6 +63,8 @@ namespace StgSharp.Mathematics
         public static MatrixParallelTaskPackage* CreateBaseTask()
         {
             MatrixParallelTaskPackage* p = (MatrixParallelTaskPackage*)_wrapAllocator.Allocate();
+            Span<byte> s = new Span<byte>((byte*)p, sizeof(MatrixParallelTaskPackage));
+            s.Fill(0);
             return p;
         }
 
@@ -79,6 +95,7 @@ namespace StgSharp.Mathematics
         {
             _scalarAllocator = SlabAllocator<ScalarPacket>.Create(64, SlabBufferLayout.Chunked, true);
             _wrapAllocator = SlabAllocator<MatrixParallelTaskPackage>.Create(64, SlabBufferLayout.Chunked, true);
+            _intermediateResult = new hlsfAllocator((nuint)(sizeof(MatrixKernel) * 64));
         }
 
     }