diff --git a/README.md b/README.md
index 3b4387c1b..519472a69 100644
--- a/README.md
+++ b/README.md
@@ -247,9 +247,10 @@ One can still use generic algebras though.
 > **Maturity**: PROTOTYPE
 >
 > **Features:**
-> - [tensor algebra](kmath-tensors/src/commonMain/kotlin/space/kscience/kmath/tensors/api/TensorAlgebra.kt) : Basic linear algebra operations on tensors (plus, dot, etc.)
-> - [tensor algebra with broadcasting](kmath-tensors/src/commonMain/kotlin/space/kscience/kmath/tensors/core/algebras/BroadcastDoubleTensorAlgebra.kt) : Basic linear algebra operations implemented with broadcasting.
-> - [linear algebra operations](kmath-tensors/src/commonMain/kotlin/space/kscience/kmath/tensors/api/LinearOpsTensorAlgebra.kt) : Advanced linear algebra operations like LU decomposition, SVD, etc.
+> - [tensor algebra](kmath-tensors/src/commonMain/kotlin/space/kscience/kmath/tensors/api/TensorAlgebra.kt) : Interface for basic linear algebra operations on tensors (plus, dot, etc.)
+> - [linear algebra operations](kmath-tensors/src/commonMain/kotlin/space/kscience/kmath/tensors/api/LinearOpsTensorAlgebra.kt) : Interface for advanced linear algebra operations like LU decomposition, SVD, etc.
+> - [tensor algebra over Double](kmath-tensors/src/commonMain/kotlin/space/kscience/kmath/tensors/core/DoubleTensorAlgebra.kt): Full implementation of operations for tensors over `Double`'s.
+> - [tensor algebra with broadcasting](kmath-tensors/src/commonMain/kotlin/space/kscience/kmath/tensors/core/BroadcastDoubleTensorAlgebra.kt) : Basic linear algebra operations implemented with broadcasting for tensors over `Double`'s.
 
 <hr/>
 
diff --git a/kmath-tensors/README.md b/kmath-tensors/README.md
index 7ece44217..affdad665 100644
--- a/kmath-tensors/README.md
+++ b/kmath-tensors/README.md
@@ -2,10 +2,10 @@
 
 Common linear algebra operations on tensors.
 
- - [tensor algebra](src/commonMain/kotlin/space/kscience/kmath/tensors/api/TensorAlgebra.kt) : Basic linear algebra operations on tensors (plus, dot, etc.)
- - [tensor algebra with broadcasting](src/commonMain/kotlin/space/kscience/kmath/tensors/core/algebras/BroadcastDoubleTensorAlgebra.kt) : Basic linear algebra operations implemented with broadcasting.
- - [linear algebra operations](src/commonMain/kotlin/space/kscience/kmath/tensors/api/LinearOpsTensorAlgebra.kt) : Advanced linear algebra operations like LU decomposition, SVD, etc.
-
+ - [tensor algebra](src/commonMain/kotlin/space/kscience/kmath/tensors/api/TensorAlgebra.kt) : Interface for basic linear algebra operations on tensors (plus, dot, etc.)
+ - [linear algebra operations](src/commonMain/kotlin/space/kscience/kmath/tensors/api/LinearOpsTensorAlgebra.kt) : Interface for advanced linear algebra operations like LU decomposition, SVD, etc.
+ - [tensor algebra over Double](src/commonMain/kotlin/space/kscience/kmath/tensors/core/DoubleTensorAlgebra.kt): Full implementation of operations for tensors over `Double`'s.
+ - [tensor algebra with broadcasting](src/commonMain/kotlin/space/kscience/kmath/tensors/core/BroadcastDoubleTensorAlgebra.kt) : Basic linear algebra operations implemented with broadcasting for tensors over `Double`'s.
 
 ## Artifact: