Convergence of an algorithm for the largest singular value of a nonnegative rectangular tensor

DOI10.1016/j.laa.2011.06.038zbMath1260.65033OpenAlexW1979383324MaRDI QIDQ1931779

Liqun Qi, Guanglu Zhou, Louis Caccetta

Publication date: 16 January 2013

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

Full work available at URL: https://doi.org/10.1016/j.laa.2011.06.038

zbMATH Keywords

convergenceiterative algorithmlargest singular valueirreductibile nonnegative rectangular tensor

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Vector and tensor algebra, theory of invariants (15A72) Eigenvalues, singular values, and eigenvectors (15A18) Iterative numerical methods for linear systems (65F10)

Related Items

Bound for the largest singular value of nonnegative rectangular tensors, A survey on the spectral theory of nonnegative tensors, On the largest eigenvalue of a symmetric nonnegative tensor, Finding the extreme Z-eigenvalues of tensors via a sequential semidefinite programming method, Nonlinear Perron--Frobenius Theorems for Nonnegative Tensors, \(l^{p/2,q/2}\)-singular values of a real partially symmetric rectangular tensor, \(l^{p, q/2}\)-singular values of a real partially symmetric rectangular tensor, Linear convergence of an algorithm for largest singular value of a nonnegative rectangular tensor, The solution methods for the largest eigenvalue (singular value) of nonnegative tensors and convergence analysis, An algorithm for the largest eigenvalue of nonhomogeneous nonnegative polynomials, Strictly nonnegative tensors and nonnegative tensor partition, Singular value inclusion sets for rectangular tensors, Structured rectangular tensors and rectangular tensor complementarity problems, Z-singular value and Z-singular value inclusion sets for tensors, V-singular values of rectangular tensors and their applications, A Unifying Perron--Frobenius Theorem for Nonnegative Tensors via Multihomogeneous Maps, Two new singular value inclusion sets for rectangular tensors, Upper bound for the largest \(Z\)-eigenvalue of positive tensors, Some inequalities for nonnegative tensors, An \(S\)-type singular value inclusion set for rectangular tensors

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