Error Analysis of TT-Format Tensor Algorithms

DOI10.1007/978-3-030-04088-8_5OpenAlexW2939849470MaRDI QIDQ3294685

Dario Fasino, Evgenij E. Tyrtyshnikov

Publication date: 29 June 2020

Published in: Structured Matrices in Numerical Linear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-04088-8_5

zbMATH Keywords

multilinear algebrabackward stabilityTT-formattensor compression

Mathematics Subject Classification ID

Numerical linear algebra (65Fxx) Numerical analysis (65-XX) Linear and multilinear algebra; matrix theory (15-XX) Error analysis and interval analysis (65Gxx)

Uses Software

• mctoolbox

Cites Work

• Unnamed Item
• Tensor Decompositions and Applications
• Tensor-Train Decomposition
• TT-cross approximation for multidimensional arrays
• Recursive decomposition of multidimensional tensors
• Improved Error Bounds for Inner Products in Floating-Point Arithmetic
• Accuracy and Stability of Numerical Algorithms
• Solution of Linear Systems and Matrix Inversion in the TT-Format
• Estimating a Few Extreme Singular Values and Vectors for Large-Scale Matrices in Tensor Train Format

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