{"about":{"site":"https://codewithpapers.app","non_affiliation":"Code with Papers and Syntology are not affiliated with, endorsed by, or sponsored by Papers with Code, Meta, or the pwc-archive mirror.","licence":"CC BY-SA 4.0","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","attribution":"https://codewithpapers.app/attribution","modified":"archive material modified by Syntology; see the attribution page"},"url":"/paper/tensor-tensor-product-toolbox","title":"Tensor-Tensor Product Toolbox","arxiv_id":"1806.07247","date":"2018-06-17","proceeding":null,"authors":["Canyi Lu"],"abstract":"The tensor-tensor product (t-product) [M. E. Kilmer and C. D. Martin, 2011]\nis a natural generalization of matrix multiplication. Based on t-product, many\noperations on matrix can be extended to tensor cases, including tensor SVD,\ntensor spectral norm, tensor nuclear norm [C. Lu, et al., 2018] and many\nothers. The linear algebraic structure of tensors are similar to the matrix\ncases. We develop a Matlab toolbox to implement several basic operations on\ntensors based on t-product. The toolbox is available at\nhttps://github.com/canyilu/tproduct.","url_abs":"http://arxiv.org/abs/1806.07247v2","url_pdf":"http://arxiv.org/pdf/1806.07247v2.pdf","source":{"archive":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","row_kind":"abstracts"},"code_links":[{"paper_slug":"tensor-tensor-product-toolbox","repo_url":"https://github.com/canyilu/tproduct","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":0,"framework":"none","reach":null}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}