Cover Image

Low-rank eigenvalue solvers for block-sparse matrix product states

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Bachmayr, Markus, Krämer, Sebastian, Pfeffer, Max
Format:	Preprint
Published:	2026
Subjects:	Numerical Analysis 15A69, 65F15, 65Y20, 65Z05
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Interpolatory Dynamical Low-Rank Approximation: Theoretical Foundations and Algorithms
by: Carrel, Benjamin, et al.
Published: (2025)

Mixed precision thin SVD algorithms based on the Gram matrix
by: Carson, Erin, et al.
Published: (2026)

Challenges in computing matrix functions
by: Fasi, Massimiliano, et al.
Published: (2024)

Distributed memory parallel adaptive tensor-train cross approximation
by: Shi, Tianyi, et al.
Published: (2024)

A chiseling algorithm for low-rank Grassmann decomposition of skew-symmetric tensors
by: Vannieuwenhoven, Nick
Published: (2024)

Inexact subspace projection methods for low-rank tensor eigenvalue problems
by: Dektor, Alec, et al.
Published: (2025)

Adaptive Polynomial Filtering for Hermitian Interior Eigenproblems: Convergence Analysis
by: Xu, Xiaofei, et al.
Published: (2026)

A Non-Recursive, Dimension-Independent Schur-Decomposition Algorithm for $N$-Dimensional Sylvester Tensor Equations
by: Cuesta, Carlota M., et al.
Published: (2024)

Subspace-constrained randomized coordinate descent for linear systems with good low-rank matrix approximations
by: Lok, Jackie, et al.
Published: (2025)

An Adaptive Sampling Algorithm for Level-set Approximation
by: Croci, Matteo, et al.
Published: (2025)

FEALPy: A Cross-platform Intelligent Numerical Simulation Engine
by: Zheng, Yangyang, et al.
Published: (2025)

Linear-Scaling Tensor Train Sketching
by: Cazeaux, Paul, et al.
Published: (2026)

Recursive sparse LU decomposition based on nested dissection and low rank approximations
by: Xuanru, Zhu, et al.
Published: (2024)

Iterative thresholding low-rank time integration
by: Bachmayr, Markus, et al.
Published: (2025)

Randomized methods for computing joint eigenvalues, with applications to multiparameter eigenvalue problems and root finding
by: He, Haoze, et al.
Published: (2024)

A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics
by: Burkhart, Andreas, et al.
Published: (2025)

Alya towards Exascale: Algorithmic Scalability using PSCToolkit
by: Owen, Herbert, et al.
Published: (2022)

On fast Fourier solvers for the tensor product high-order FEM for a generalized Poisson equation
by: Zlotnik, Alexander, et al.
Published: (2017)

Stabilization of a matrix via a low rank-adaptive ODE
by: Guglielmi, Nicola, et al.
Published: (2024)

Computing excited states with isometric tensor networks in two-dimensions
by: Dektor, Alec, et al.
Published: (2025)

A Convergent Geometry-Aware Reduction for Diffusion in Branched Tubular Networks
by: Miksis, Zachary M., et al.
Published: (2025)

Optimization on the Extended Tensor-Train Manifold with Shared Factors
by: Molozhavenko, Alexander, et al.
Published: (2025)

A parallel Basis Update and Galerkin Integrator for Tree Tensor Networks
by: Ceruti, Gianluca, et al.
Published: (2024)

Tensor-structured PCG for finite difference solver of domain patterns in ferroelectric material
by: Chumchal, Věnceslav, et al.
Published: (2025)

Advances on the recovery of (perturbed) Cauchy matrices
by: Boito, Paola, et al.
Published: (2026)

Low-rank optimization on Tucker tensor varieties
by: Gao, Bin, et al.
Published: (2023)

Effective algorithms for tensor train decomposition via the UTV framework
by: Wang, Yuchao, et al.
Published: (2025)

Optimal quadrature errors and sampling numbers for Sobolev spaces with logarithmic perturbation on spheres
by: Geng, Jiaxin, et al.
Published: (2024)

Average case tractability of multivariate approximation with Gevrey type kernels
by: Lu, Wanting, et al.
Published: (2024)

Randomized block Gram-Schmidt process for solution of linear systems and eigenvalue problems
by: Balabanov, Oleg, et al.
Published: (2021)

A Newton method for solving locally definite multiparameter eigenvalue problems by multiindex
by: Eisenmann, Henrik
Published: (2024)

A multilinear Nyström algorithm for low-rank approximation of tensors in Tucker format
by: Bucci, Alberto, et al.
Published: (2023)

A parallel batch greedy algorithm in reduced basis methods: Convergence rates and numerical results
by: Reich, Niklas, et al.
Published: (2024)

PSCToolkit: solving sparse linear systems with a large number of GPUs
by: D'Ambra, Pasqua, et al.
Published: (2024)

Structure-Informed Bounds on the Kronecker Rank of Block-Structured Matrices
by: Fuller, Allison, et al.
Published: (2026)

Trace maximization algorithm for the approximate tensor diagonalization
by: Begovic, Erna, et al.
Published: (2021)

Convergence of a Jacobi-type method for the approximate orthogonal tensor diagonalization
by: Begovic, Erna
Published: (2021)

Convergence of the alternating least squares algorithm for CP tensor decompositions
by: Hu, Nicholas, et al.
Published: (2025)

Space-time parallel iterative solvers for the integration of parabolic problems
by: Arrarás, Andrés, et al.
Published: (2025)

Randomized algorithms for streaming low-rank approximation in tree tensor network format
by: Bucci, Alberto, et al.
Published: (2024)