From Dimension-Free Matrix Theory to Cross-Dimensional Dynamic Systems
Nonfiction, Science & Nature, Mathematics, Applied
| Author: | Daizhan Cheng | ISBN: | 9780128178027 |
| Publisher: | Elsevier Science | Publication: | May 18, 2019 |
| Imprint: | Academic Press | Language: | English |
| Author: | Daizhan Cheng |
| ISBN: | 9780128178027 |
| Publisher: | Elsevier Science |
| Publication: | May 18, 2019 |
| Imprint: | Academic Press |
| Language: | English |
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.
- Provides, for the first time, cross-dimensional system theory that is useful for modeling dimension-varying systems.
- Offers potential applications to the analysis and control of new dimension-varying systems.
- Investigates the underlying mathematics of semi-tensor product, including the equivalence and lattice structure of matrices and monoid of matrices with arbitrary dimensions.
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.
- Provides, for the first time, cross-dimensional system theory that is useful for modeling dimension-varying systems.
- Offers potential applications to the analysis and control of new dimension-varying systems.
- Investigates the underlying mathematics of semi-tensor product, including the equivalence and lattice structure of matrices and monoid of matrices with arbitrary dimensions.
