TensorToolbox.jl provides several tensor decomposition approaches. This follows the functionality of MATLAB Tensor toolbox and Hierarchical Tucker Toolbox. ITensors.jl is a library for rapidly creating correct and efficient tensor network algorithms. This is the Julia version of ITensor, not a wrapper around the C++ version but full implementations by Julia language. TensorOperations.jl provides fast tensor operations using a convenient Einstein index notation. TensorRules.jl provides a macro, which enable us to use automatic differentiation (AD) libraries (e.g., Zygote.jl, ForwardDiff.jl) with @tensor and @tensoropt macros in TensorOperations.jl. Software for use with SageMath SageManifolds: tensor calculus on smooth manifolds; all SageManifolds code is included in SageMath since version 7.5; it allows for computations in various vector frames and coordinate charts, the manifold not being required to be parallelizable. Software for use with Java ND4J: N-dimensional arrays for the JVM is a Java library for basic tensor operations and scientific computing. Tensor: computation for regular or unstructured multi-dimensional tensors. Scalar entries are either in numeric or exact precision. API inspired by Mathematica. Java 8 library in with no external dependencies. Libraries Redberry is an open source computer algebra system designed for symbolic tensor manipulation. Redberry provides common tools for expression manipulation, generalized on tensorial objects, as well as tensor-specific features: indices symmetries, LaTeX-style input, natural dummy indices handling, multiple index types etc. The HEP package includes tools for Feynman diagrams calculation: Dirac and SU(N) algebra, Levi-Civita simplifications, tools for calculation of one-loop counterterms etc. Redberry is written in Java and provides extensive Groovy-based programming language. libxm is a lightweight distributed-parallel tensor library written in C. FTensor is a high performance tensor library written in C++. TL is a multi-threaded tensor library implemented in C++ used in Dynare++. The library allows for folded/unfolded, dense/sparse tensor representations, general ranks (symmetries). The library implements Faa Di Bruno formula and is adaptive to available memory. Dynare++ is a standalone package solving higher order Taylor approximations to equilibria of non-linear stochastic models with rational expectations. vmmlib is a C++ linear algebra library that supports 3-way tensors, emphasizing computation and manipulation of several tensor decompositions. Spartns is a Sparse Tensor framework for Common Lisp. FAstMat is a thread-safe general tensor algebra library written in C++ and specially designed for FEM/FVM/BEM/FDM element/edge wise computations. Cyclops Tensor Framework is a distributed memory library for efficient decomposition of tensors of arbitrary type and parallel MPI+OpenMP execution of tensor contractions/functions. TiledArray is a scalable,