On the convergence of a greedy rank-one update algorithm for a class of linear systems

From MaRDI portal
Publication:358491

DOI10.1007/s11831-010-9048-zzbMath1269.65120OpenAlexW2007170193WikidataQ113323918 ScholiaQ113323918MaRDI QIDQ358491

Amine Ammar, Francisco Chinesta, Antonio Falcó

Publication date: 9 August 2013

Published in: Archives of Computational Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11831-010-9048-z




Related Items (36)

Convergence rate analysis for the higher order power method in best rank one approximations of tensorsFurther results for \(Z\)-eigenvalue localization theorem for higher-order tensors and their applicationsThe Optimization Landscape for Fitting a Rank-2 Tensor with a Rank-1 TensorBounds for the Z-eigenpair of general nonnegative tensorsRecent advances and new challenges in the use of the proper generalized decomposition for solving multidimensional modelsSolving parametric complex fluids models in rheometric flowsA proper generalized decomposition (PGD) approach to crack propagation in brittle materials: with application to random field material propertiesOn the existence of a progressive variational vademecum based on the proper generalized decomposition for a class of elliptic parameterized problemsLow-rank tensor methods for partial differential equationsOn the convergence of alternating minimization methods in variational PGDPGD reduced-order modeling for structural dynamics applications\(E\)-eigenvalue localization sets for tensorsIterative low-rank approximation solvers for the extension method for fractional diffusionA proper generalized decomposition for the solution of elliptic problems in abstract form by using a functional Eckart-Young approachStructure and approximation properties of Laplacian-like matricesZ-eigenvalue localization sets for tensors and the applications in rank-one approximation and quantum entanglementProper general decomposition (PGD) for the resolution of Navier-Stokes equationsProper generalized decomposition for nonlinear convex problems in tensor Banach spacesFast validation of stochastic structural models using a PGD reduction schemeIdeal minimal residual-based proper generalized decomposition for non-symmetric multi-field models -- application to transient elastodynamics in space-time domainSpace-time proper generalized decompositions for the resolution of transient elastodynamic modelsProper generalized decomposition method for incompressible Navier-Stokes equations with a spectral discretizationOptimal \(Z\)-eigenvalue inclusion intervals for even order tensors and their applicationsA new Brauer-type \(Z\)-eigenvalue inclusion set for tensorsPGD-based \textit{computational vademecum} for efficient design, optimization and controlA multiscale separated representation to compute the mechanical behavior of composites with periodic microstructureGreedy low-rank approximation in Tucker format of solutions of tensor linear systemsAn overview of the proper generalized decomposition with applications in computational rheology\(Z\)-eigenvalue localization sets for even order tensors and their applicationsA New Algorithm of Proper Generalized Decomposition for Parametric Symmetric Elliptic ProblemsOn the computation of proper generalized decomposition modes of parametric elliptic problemsAnalysis of parametric models. Linear methods and approximations\(E\)-eigenvalue localization sets for fourth-order tensorsOptimal \(Z\)-eigenvalue inclusion intervals of tensors and their applicationsA literature survey of low-rank tensor approximation techniquesGlobal convergence of rank-one PGD approximations by alternate minimization



Cites Work


This page was built for publication: On the convergence of a greedy rank-one update algorithm for a class of linear systems