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arXiv (Cornell University)
Equivalent of Multivariate Polynomial Matrix
August 2025 • Jinwang Liu, Jiancheng Guan, Ying Kang
The equivalence of multidimensional systems is closely related to the reduction of multivariate polynomial matrices, with the Smith normal form of matrices playing a key role. So far, the problem of reducing multivariate polynomial matrices into Smith normal form has not been fully solved. This article investigates the Smith normal form of quasi weakly linear multivariate polynomial matrices. Breaking through previous limitations, providing sufficient and necessary conditions.
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The Matrix Resurrections
The Matrix (Franchise)
The Matrix Reloaded
Mass–Energy Equivalence
The Matrix Revolutions
Tnt Equivalent
Multivariate Normal Distribution
Covariance Matrix
Neo (The Matrix)
Banana Equivalent Dose
Toyota Matrix
Twenty-Foot Equivalent Unit
Morpheus (The Matrix)
Sparse Matrix
Enter The Matrix
Trinity (The Matrix)
Multidimensional Poverty Index
False Equivalence
Extracellular Matrix
Hadamard Matrix
Polynomial Long Division
Dot Matrix Printing
Equivalence Principle