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

DOI10.1016/C2018-0-02653-5zbMath1419.15002MaRDI QIDQ1733071

Daizhan Cheng

Publication date: 20 March 2019

Published in: Mathematics in Science and Engineering (Search for Journal in Brave)

zbMATH Keywords

matrix productapplicationssemi-tensor productdeep learningbiosystems

Mathematics Subject Classification ID

Learning and adaptive systems in artificial intelligence (68T05) Multilinear algebra, tensor calculus (15A69) Research exposition (monographs, survey articles) pertaining to linear algebra (15-02)

Related Items (9)

Asymptotical feedback controllability of continuous-time probabilistic logic control networks ⋮ Contracted product of hypermatrices via STP of matrices ⋮ Stochastic Algebraic Riccati Equations Are Almost as Easy as Deterministic Ones Theoretically ⋮ \(\mathcal{L_C}\) structure-preserving method based on semi-tensor product of matrices for the QR decomposition in quaternionic quantum theory ⋮ Direct Methods of Solving Quaternion Matrix Equation Based on STP ⋮ Compound product of hypermatrices ⋮ Realisation of the transient dynamics of dimension-varying control systems ⋮ On the properties of Cheng projection ⋮ On solutions of the matrix equation \(A \circ_l X = B\) with respect to \(MM\)-2 semitensor product

Uses Software

• Matlab

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