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From dimension-free matrix theory to...

Cheng, Daizhan,

From dimension-free matrix theory to cross -dimensional dynamic systems

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	From dimension-free matrix theory to cross -dimensional dynamic systemsDaizhan 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.
電子資源:	https://www.sciencedirect.com/science/book/9780128178010
ISBN:	9780128178027 (electronic bk.)

From dimension-free matrix theory to cross -dimensional dynamic systems
Cheng, Daizhan,

From dimension-free matrix theory to cross -dimensional dynamic systems[electronic resource] /Daizhan Cheng. - London, United Kingdom ;Academic Press, an imprint of Elsevier,2019. - 1 online resource (xix, 343 p.) :ill. - Mathematics in Science and Engineering. - Mathematics in science and engineering..

Includes bibliographical references and index.

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.

"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.

ISBN: 9780128178027 (electronic bk.)Subjects--Topical Terms:

181876
Matrices.
Index Terms--Genre/Form:

214472
Electronic books.

LC Class. No.: QA845

Dewey Class. No.: 531.11

From dimension-free matrix theory to cross -dimensional dynamic systems
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