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Fast algorithms for singular value decomposition and the inverse of nearly low-rank matrices

Xu Chen, Weiwei Xu, Kaili Jing

2023National Science Review17 citationsDOIOpen Access PDF

Abstract

This perspective focuses on the fast algorithm design for singular value decomposition and inverse computation of nearly low-rank matrices that are potentially of big sizes.

Topics & Concepts

Singular value decompositionRank (graph theory)InverseDecompositionMathematicsSingular valueValue (mathematics)Applied mathematicsAlgorithmCombinatoricsStatisticsPhysicsChemistryGeometryEigenvalues and eigenvectorsQuantum mechanicsOrganic chemistryMatrix Theory and AlgorithmsSparse and Compressive Sensing TechniquesElectromagnetic Scattering and Analysis
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