Singular Value Decomposition of Dual Matrices and its Application to Traveling Wave Identification in the Brain

DOI10.1137/23m1556642arXiv2303.01383MaRDI QIDQ6154948

Unnamed Author, Yi-Min Wei, Weiyang Ding

Publication date: 16 February 2024

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2303.01383

zbMATH Keywords

low-rank approximationbrain dynamicsdual matricestime-series data analysisdual Moore-Penrose generalized inversecompact dual SVDtraveling wave identification

Mathematics Subject Classification ID

Factorization of matrices (15A23) Theory of matrix inversion and generalized inverses (15A09) Neural biology (92C20) Time series analysis of dynamical systems (37M10)

Cites Work

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• Intrinsic quasi-metrics
• Dual quaternions and dual quaternion vectors
• Linear algebra and numerical algorithms using dual numbers
• Linear Dual Algebra Algorithms and their Application to Kinematics
• On the Early History of the Singular Value Decomposition
• Multivariate Time Series Analysis and Applications
• Generalizations of singular value decomposition to dual-numbered matrices

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