| 000 | 03078nam a22005895i 4500 | ||
|---|---|---|---|
| 001 | 978-3-031-54505-4 | ||
| 003 | DE-He213 | ||
| 005 | 20251030111500.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 240304s2024 sz | s |||| 0|eng d | ||
| 020 |
_a9783031545054 _9978-3-031-54505-4 |
||
| 024 | 7 |
_a10.1007/978-3-031-54505-4 _2doi |
|
| 050 | 4 | _aTA352-356 | |
| 050 | 4 | _aQC20.7.N6 | |
| 072 | 7 |
_aTBJ _2bicssc |
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_aGPFC _2bicssc |
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_aSCI064000 _2bisacsh |
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| 072 | 7 |
_aTBJ _2thema |
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| 072 | 7 |
_aGPFC _2thema |
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| 100 | 1 |
_aChen, Can. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _972413 |
|
| 245 | 1 | 0 |
_aTensor-Based Dynamical Systems _h[electronic resource] : _bTheory and Applications / _cby Can Chen. |
| 250 | _a1st ed. 2024. | ||
| 264 | 1 |
_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2024. |
|
| 300 |
_aXV, 106 p. 19 illus., 17 illus. in color. _bonline resource. |
||
| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
||
| 490 | 1 |
_aSynthesis Lectures on Mathematics & Statistics, _x1938-1751 |
|
| 505 | 0 | _aTensors and Tensor Algebra -- Tucker Product Representation -- Einstein Product Representation -- CP/tensor Train Decomposition Representation -- Tensor Vector Product Representation -- Contract Product Representation -- T-product Representation. | |
| 520 | _aThis book provides a comprehensive review on tensor algebra, including tensor products, tensor unfolding, tensor eigenvalues, and tensor decompositions. Tensors are multidimensional arrays generalized from vectors and matrices, which can capture higher-order interactions within multiway data. In addition, tensors have wide applications in many domains such as signal processing, machine learning, and data analysis, and the author explores the role of tensors/tensor algebra in tensor-based dynamical systems where system evolutions are captured through various tensor products. The author provides an overview of existing literature on the topic and aims to inspire readers to learn, develop, and apply the framework of tensor-based dynamical systems. | ||
| 650 | 0 |
_aDynamics. _965524 |
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| 650 | 0 |
_aNonlinear theories. _965525 |
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| 650 | 0 | _aControl engineering. | |
| 650 | 0 |
_aAlgebra. _91501 |
|
| 650 | 0 |
_aAlgebras, Linear. _971217 |
|
| 650 | 1 | 4 |
_aApplied Dynamical Systems. _965530 |
| 650 | 2 | 4 |
_aControl and Systems Theory. _965868 |
| 650 | 2 | 4 |
_aAlgebra. _91501 |
| 650 | 2 | 4 |
_aLinear Algebra. _971220 |
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer Nature eBook | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783031545047 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783031545061 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783031545078 |
| 830 | 0 |
_aSynthesis Lectures on Mathematics & Statistics, _x1938-1751 |
|
| 856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-031-54505-4 |
| 912 | _aZDB-2-SXSC | ||
| 999 |
_c58103 _d58103 |
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