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[1] Gene H. Golub,et al. Matrix computations (3rd ed.) , 1996 .
[2] R. Schneider,et al. The Alternating Linear Scheme for Tensor Optimisation in the TT Format , 2022 .
[3] T. Schulte-Herbrüggen,et al. Computations in quantum tensor networks , 2012, 1212.5005.
[4] Lars Grasedyck,et al. Existence and Computation of Low Kronecker-Rank Approximations for Large Linear Systems of Tensor Product Structure , 2004, Computing.
[5] Daniel Kressner,et al. Low-Rank Tensor Krylov Subspace Methods for Parametrized Linear Systems , 2011, SIAM J. Matrix Anal. Appl..
[6] Tobias Jahnke,et al. On the approximation of high-dimensional differential equations in the hierarchical Tucker format , 2013, BIT Numerical Mathematics.
[7] Ivan Oseledets,et al. Tensor-Train Decomposition , 2011, SIAM J. Sci. Comput..
[8] Boris N. Khoromskij,et al. Quantics-TT Collocation Approximation of Parameter-Dependent and Stochastic Elliptic PDEs , 2010, Comput. Methods Appl. Math..
[9] Ivan Oseledets,et al. QTT approximation of elliptic solution operators in higher dimensions , 2011 .
[10] Tamara G. Kolda,et al. Categories and Subject Descriptors: G.4 [Mathematics of Computing]: Mathematical Software— , 2022 .
[11] W. Hackbusch,et al. A New Scheme for the Tensor Representation , 2009 .
[12] Tamara G. Kolda,et al. Efficient MATLAB Computations with Sparse and Factored Tensors , 2007, SIAM J. Sci. Comput..
[13] Wolfgang Hackbusch,et al. A regularized Newton method for the efficient approximation of tensors represented in the canonical tensor format , 2012, Numerische Mathematik.
[14] Gene H. Golub,et al. Matrix computations , 1983 .
[15] Tamara G. Kolda,et al. Tensor Decompositions and Applications , 2009, SIAM Rev..
[16] Christine Tobler,et al. Low-rank tensor methods for linear systems and eigenvalue problems , 2012 .
[17] Tamara G. Kolda,et al. MATLAB Tensor Toolbox , 2006 .
[18] Reinhold Schneider,et al. Variational calculus with sums of elementary tensors of fixed rank , 2012, Numerische Mathematik.
[19] Daniel M. Dunlavy,et al. A scalable optimization approach for fitting canonical tensor decompositions , 2011 .
[20] Boris N. Khoromskij,et al. Use of tensor formats in elliptic eigenvalue problems , 2012, Numer. Linear Algebra Appl..
[21] Dietrich Braess,et al. F ¨ Ur Mathematik in Den Naturwissenschaften Leipzig Approximation of 1/x by Exponential Sums in [1, ∞) , 2022 .
[22] Vladimir A. Kazeev,et al. On explicit QTT representation of Laplace operator and its inverse , 2010 .
[23] Daniel Kressner,et al. Krylov Subspace Methods for Linear Systems with Tensor Product Structure , 2010, SIAM J. Matrix Anal. Appl..
[24] Lars Grasedyck,et al. Hierarchical Singular Value Decomposition of Tensors , 2010, SIAM J. Matrix Anal. Appl..
[25] Jonas Ballani,et al. Fast Evaluation of Near-Field Boundary Integralsusing Tensor Approximations , 2012 .
[26] Richard A. Harshman,et al. Foundations of the PARAFAC procedure: Models and conditions for an "explanatory" multi-model factor analysis , 1970 .
[27] Reinhold Schneider,et al. Dynamical Approximation by Hierarchical Tucker and Tensor-Train Tensors , 2013, SIAM J. Matrix Anal. Appl..
[28] Boris N. Khoromskij,et al. Tensor-Structured Galerkin Approximation of Parametric and Stochastic Elliptic PDEs , 2011, SIAM J. Sci. Comput..
[29] Ivan Oseledets,et al. Quantics-TT Approximation of Elliptic Solution Operators in Higher Dimensions , 2009 .
[30] Othmar Koch,et al. Dynamical Tensor Approximation , 2010, SIAM J. Matrix Anal. Appl..
[31] Lars Grasedyck,et al. F ¨ Ur Mathematik in Den Naturwissenschaften Leipzig a Projection Method to Solve Linear Systems in Tensor Format a Projection Method to Solve Linear Systems in Tensor Format , 2022 .
[32] J. Ballani,et al. Black box approximation of tensors in hierarchical Tucker format , 2013 .
[33] S. Todo,et al. The ALPS project release 2.0: open source software for strongly correlated systems , 2011, 1101.2646.
[34] Joos Vandewalle,et al. A Multilinear Singular Value Decomposition , 2000, SIAM J. Matrix Anal. Appl..
[35] Rasmus Bro,et al. The N-way Toolbox for MATLAB , 2000 .
[36] VLADIMIR A. KAZEEV,et al. Low-Rank Explicit QTT Representation of the Laplace Operator and Its Inverse , 2012, SIAM J. Matrix Anal. Appl..
[37] L. Tucker,et al. Some mathematical notes on three-mode factor analysis , 1966, Psychometrika.
[38] J. Chang,et al. Analysis of individual differences in multidimensional scaling via an n-way generalization of “Eckart-Young” decomposition , 1970 .
[39] Reinhold Schneider,et al. The Alternating Linear Scheme for Tensor Optimization in the Tensor Train Format , 2012, SIAM J. Sci. Comput..
[40] W. Hackbusch. Tensor Spaces and Numerical Tensor Calculus , 2012, Springer Series in Computational Mathematics.
[41] Rolf Dach,et al. Technical Report 2012 , 2013 .
[42] U. Schollwoeck. The density-matrix renormalization group in the age of matrix product states , 2010, 1008.3477.
[43] Reinhold Schneider,et al. Optimization problems in contracted tensor networks , 2011, Comput. Vis. Sci..