LEADER 02347nam  2200337z- 450 
001 9910346663403321
005 20231214133523.0
010   $a3-03897-591-5
035   $a(CKB)4920000000095033
035   $a(oapen)https://directory.doabooks.org/handle/20.500.12854/44618
035   $a(EXLCZ)994920000000095033
100   $a20202102d2019      |y         0
101 0 $aeng
135   $aurmn|---annan
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aDecomposability of Tensors
210   $cMDPI - Multidisciplinary Digital Publishing Institute$d2019
215   $a1 electronic resource (160 p.)
311   $a3-03897-590-7 
330   $aTensor decomposition is a relevant topic, both for theoretical and applied mathematics, due to its interdisciplinary nature, which ranges from multilinear algebra and algebraic geometry to numerical analysis, algebraic statistics, quantum physics, signal processing, artificial intelligence, etc. The starting point behind the study of a decomposition relies on the idea that knowledge of elementary components of a tensor is fundamental to implement procedures that are able to understand and efficiently handle the information that a tensor encodes. Recent advances were obtained with a systematic application of geometric methods: secant varieties, symmetries of special decompositions, and an analysis of the geometry of finite sets. Thanks to new applications of theoretic results, criteria for understanding when a given decomposition is minimal or unique have been introduced or significantly improved. New types of decompositions, whose elementary blocks can be chosen in a range of different possible models (e.g., Chow decompositions or mixed decompositions), are now systematically studied and produce deeper insights into this topic. The aim of this Special Issue is to collect papers that illustrate some directions in which recent researches move, as well as to provide a wide overview of several new approaches to the problem of tensor decomposition.
610   $aborder rank and typical rank
610   $aTensor analysis
610   $aRank
610   $aComplexity
700   $aLuca Chiantini (Ed.)$4auth$01315262
906   $aBOOK
912   $a9910346663403321
996   $aDecomposability of Tensors$93032314
997   $aUNINA