An efficient numerical approach to approximate the tensor sign function with the Einstein product

Key Points

• An efficient numerical approximation of the tensor sign function is presented, enhancing computational operations.
• The method utilizes the Einstein product for matrix calculations, improving efficiency in specific applications.
• Observational analysis across various computational scenarios reveals significant time savings with this approach.
• The findings suggest this new method could transform operations in linear algebra and tensor calculus, further validating computational models.