| 紀錄類型: |
書目-電子資源
: Monograph/item
|
| 杜威分類號: |
531.11 |
| 書名/作者: |
From dimension-free matrix theory to cross -dimensional dynamic systems/ Daizhan Cheng. |
| 作者: |
Cheng, Daizhan, |
| 出版者: |
London, United Kingdom ; : Academic Press, an imprint of Elsevier,, 2019. |
| 面頁冊數: |
1 online resource (xix, 343 p.) : : ill. |
| 標題: |
Matrices. |
| 標題: |
Lie algebras. |
| 標題: |
Lie groups. |
| 標題: |
Dynamics. |
| 標題: |
Tensor products. |
| 標題: |
SCIENCE - Mechanics |
| 標題: |
SCIENCE - Mechanics |
| ISBN: |
9780128178027 (electronic bk.) |
| ISBN: |
0128178027 (electronic bk.) |
| ISBN: |
9780128178010 (print) |
| ISBN: |
0128178019 (print) |
| 書目註: |
Includes bibliographical references and index. |
| 內容註: |
Semi-tensor product of matrices -- Boolean networks -- Finite games -- Equivalence and lattice structures -- Topological structure on quotient space -- Differential geometry on set of matrices -- Cross-dimensional Lie algebra and Lie group -- Second matrix-matrix semi-tensor product -- Structure on set of vectors -- Dimension-varying linear system -- Dimension-varying linear control system -- Generalized dynamic systems -- Dimension-varying nonlinear dynamic systems. |
| 摘要、提要註: |
"From Dimension-Free Matrix Theory to Cross-Dimensional Dynamic Systems illuminates the underlying mathematics of semi-tensor product (STP), a generalized matrix product that extends the conventional matrix product to two matrices of arbitrary dimensions. Dimension-varying systems feature prominently across many disciplines, and through innovative applications its newly developed theory can revolutionize large data systems such as genomics and biosystems, deep learning, IT, and information-based engineering applications."--Provided by publisher. |
| 電子資源: |
https://www.sciencedirect.com/science/book/9780128178010 |