Semi-nonnegative rank for real matrices and its connection to the usual rank

DOI10.1016/j.laa.2014.09.046zbMath1303.15002OpenAlexW2000944444MaRDI QIDQ472415

Kamel Boukhetala, Mohamed Hanafi, Meriem Chouh

Publication date: 19 November 2014

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2014.09.046

zbMATH Keywords

nonnegative matrixconvex hull\(K\)-means clusteringsemi-nonnegative rankusual rank

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (1)

Exact and Heuristic Algorithms for Semi-Nonnegative Matrix Factorization

Uses Software

• AS 136

Cites Work

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• Algorithm AS 136: A K-Means Clustering Algorithm
• Nonnegative ranks, decompositions, and factorizations of nonnegative matrices
• Real rank versus nonnegative rank
• On the geometric interpretation of the nonnegative rank
• Document clustering using nonnegative matrix factorization
• A Rank–One Reduction Formula and Its Applications to Matrix Factorizations
• Learning the parts of objects by non-negative matrix factorization

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