Rank-one approximation of positive matrices based on methods of tropical mathematics

DOI10.3103/S106345411802005XzbMath1401.90263OpenAlexW2808250569MaRDI QIDQ1792332

Nikolai Krivulin, Elena Yu. Romanova

Publication date: 11 October 2018

Published in: Vestnik St. Petersburg University. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s106345411802005x

zbMATH Keywords

tropical mathematicsidempotent semifieldlog-Chebyshev distance functionrank-one matrix approximation

Mathematics Subject Classification ID

Programming in abstract spaces (90C48)

Related Items (1)

On the rank-one approximation of positive matrices using tropical optimization methods

Cites Work

• Sparse principal component analysis via regularized low rank matrix approximation
• The Chebyshev approximation of a rectangular matrix by matrices of smaller rank as the limit of \(\ell_p\)-approximation
• Applications of second-order cone programming
• Extremal properties of tropical eigenvalues and solutions to tropical optimization problems
• On best rank one approximation of tensors
• Max-linear Systems: Theory and Algorithms
• Conditional Gradient Algorithmsfor Rank-One Matrix Approximations with a Sparsity Constraint
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