GSoC 2024: Meta Ticket for Enhancement in Tensor operations

[amanmoon]

Description:

Keep track of the GSoC project Tensor operations in Sage using Python libraries as backends

The aim of the project is to enhance the sage.tensor implementation by expending it to handle multidimensional tensor and creating different implementation of the Components class where the component is stored in numpy.nparray and torch.tensor. We will also create a method to convert tensors between Sage and SymPy.

Mentor: @mkoeppe

Relevant Issues and Pull requests:

• Enhance sage.tensor to support general rectangular arrays  #38247
• sage.tensor.modules: Add backend using NumPy ndarray #30308
• sage.tensor.modules: Add backends using TensorFlow Core, PyTorch, SymPy #30096
• _sympy_ methods for tensor component classes #31946
• Expanding the sage.tensor to handle multi-dimensional tensors #38249
• Implemented NumPy backend for Component class #38325