diff --git a/kmath-tensors/src/commonMain/kotlin/space/kscience/kmath/tensors/core/DoubleLinearOpsTensorAlgebra.kt b/kmath-tensors/src/commonMain/kotlin/space/kscience/kmath/tensors/core/DoubleLinearOpsTensorAlgebra.kt
index 82f63dd40..e0ec49333 100644
--- a/kmath-tensors/src/commonMain/kotlin/space/kscience/kmath/tensors/core/DoubleLinearOpsTensorAlgebra.kt
+++ b/kmath-tensors/src/commonMain/kotlin/space/kscience/kmath/tensors/core/DoubleLinearOpsTensorAlgebra.kt
@@ -66,11 +66,10 @@ public class DoubleLinearOpsTensorAlgebra :
 
     }
 
-    override fun DoubleTensor.cholesky(): DoubleTensor {
-        checkSymmetric(this)
+    public fun DoubleTensor.cholesky(epsilon: Double): DoubleTensor {
         checkSquareMatrix(shape)
         //TODO("Andrei the det routine has bugs")
-        //checkPositiveDefinite(this)
+        //checkPositiveDefinite(this, epsilon)
 
         val n = shape.last()
         val lTensor = zeroesLike()
@@ -81,6 +80,8 @@ public class DoubleLinearOpsTensorAlgebra :
         return lTensor
     }
 
+    override fun DoubleTensor.cholesky(): DoubleTensor = cholesky(1e-6)
+
     override fun DoubleTensor.qr(): Pair<DoubleTensor, DoubleTensor> {
         checkSquareMatrix(shape)
         val qTensor = zeroesLike()
diff --git a/kmath-tensors/src/commonMain/kotlin/space/kscience/kmath/tensors/core/checks.kt b/kmath-tensors/src/commonMain/kotlin/space/kscience/kmath/tensors/core/checks.kt
index 8dbf9eb81..730b6ed9a 100644
--- a/kmath-tensors/src/commonMain/kotlin/space/kscience/kmath/tensors/core/checks.kt
+++ b/kmath-tensors/src/commonMain/kotlin/space/kscience/kmath/tensors/core/checks.kt
@@ -63,7 +63,9 @@ internal inline fun DoubleTensorAlgebra.checkSymmetric(tensor: DoubleTensor, eps
         "Tensor is not symmetric about the last 2 dimensions at precision $epsilon"
     }
 
-internal inline fun DoubleLinearOpsTensorAlgebra.checkPositiveDefinite(tensor: DoubleTensor): Unit {
+internal inline fun DoubleLinearOpsTensorAlgebra.checkPositiveDefinite(
+    tensor: DoubleTensor, epsilon: Double = 1e-6): Unit {
+    checkSymmetric(tensor, epsilon)
     for( mat in tensor.matrixSequence())
         check(mat.asTensor().detLU().value() > 0.0){
             "Tensor contains matrices which are not positive definite ${mat.asTensor().detLU().value()}"