Matrix inversion cases with size-independent tensor rank estimates

DOI10.1016/j.laa.2009.03.001zbMath1180.15005OpenAlexW2093692490MaRDI QIDQ1030721

Evgenij E. Tyrtyshnikov, Ivan V. Oseledets, Nikolai L. Zamarashkin

Publication date: 2 July 2009

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

Full work available at URL: https://doi.org/10.1016/j.laa.2009.03.001

zbMATH Keywords

inverse matricesKronecker productToeplitz matricescirculant matricestensor ranklow-rank matricesmultilevel matrices

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Multilinear algebra, tensor calculus (15A69) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (1)

Linear algebra for tensor problems

Cites Work

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• A Multilinear Singular Value Decomposition
• Tensor approximations of matrices generated by asymptotically smooth functions
• Tucker Dimensionality Reduction of Three-Dimensional Arrays in Linear Time
• Hierarchical Kronecker tensor-product approximations

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