@article{fd19c9e067bc45f5aa1349daa4fc622a,
title = "Incremental algorithms for truncated higher-order singular value decompositions",
abstract = "We develop and study incremental algorithms for truncated higher-order singular value decompositions. By combining the SVD updating and different truncated higher-order singular value decompositions, two incremental algorithms are proposed. Not only the factor matrices but also the core tensor are updated in an incremental style. The costs of these algorithms are compared and the approximation errors are analyzed. Numerical results demonstrate that the proposed incremental algorithms have advantages in online computation.",
keywords = "Incremental algorithm, SVD updating, Truncated higher-order singular value decomposition",
author = "Chao Zeng and Ng, {Michael K.} and Jiang, {Tai Xiang}",
note = "Funding information: Chao Zeng{\textquoteright}s work was supported in part by the National Natural Science Foundation of China (12201319) and the Fundamental Research Funds for the Central Universities, Nankai University (63231142). Michael K. Ng{\textquoteright}s research supported in part by the HKRGC GRF 17201020 and 17300021, and CRF C7004-21GF, and Joint NSFC and RGC NHKU769/21. Tai-Xiang Jiang{\textquoteright}s work was supported in part by the National Natural Science Foundation of China (12001446), Natural Science Foundation of Sichuan, China (2022NSFSC1798), the Fundamental Research Funds for the Central Universities, and the Guanghua Talent Project. Publisher Copyright: {\textcopyright} 2024, The Author(s), under exclusive licence to Springer Nature B.V.",
year = "2024",
month = mar,
doi = "10.1007/s10543-023-01004-7",
language = "English",
volume = "64",
journal = "BIT Numerical Mathematics",
issn = "0006-3835",
publisher = "Springer Netherlands",
number = "1",
}