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Global convergence of rank-one PGD approximations by alternate minimization - MaRDI portal

Global convergence of rank-one PGD approximations by alternate minimization (Q5868296)

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scientific article; zbMATH DE number 7588229

Language	Label	Description	Also known as
English	Global convergence of rank-one PGD approximations by alternate minimization	scientific article; zbMATH DE number 7588229

Statements

scholarly article

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Global convergence of rank-one PGD approximations by alternate minimization (English)

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Abdallah El Hamidi

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Differential Equations & Applications

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publication date

20 September 2022

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zbMATH Keywords

proper generalized decomposition (PGD)

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alternate minimization

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low-rank tensor approximation

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.7153/dea-2022-14-32

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Circumventing Curse of Dimensionality in the Solution of Highly Multidimensional Models Encountered in Quantum Mechanics Using Meshfree Finite Sums Decomposition

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

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A new family of solvers for some classes of multidimensional partial differential equations encountered in kinetic theory modeling of complex fluids

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On the computation of proper generalized decomposition modes of parametric elliptic problems

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Data-driven reduced order modeling based on tensor decompositions and its application to air-wall heat transfer in buildings

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CONVERGENCE OF A GREEDY ALGORITHM FOR HIGH-DIMENSIONAL CONVEX NONLINEAR PROBLEMS

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Greedy algorithms for high-dimensional non-symmetric linear problems

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The proper generalized decomposition for advanced numerical simulations. A primer

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On the Dirac-Frenkel variational principle on tensor Banach spaces

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A proper generalized decomposition for the solution of elliptic problems in abstract form by using a functional Eckart-Young approach

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Proper generalized decomposition for nonlinear convex problems in tensor Banach spaces

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Tensor Spaces and Numerical Tensor Calculus

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On the convergence of alternating minimization methods in variational PGD

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A priori model reduction through proper generalized decomposition for solving time-dependent partial differential equations

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Tensor Rank and the Ill-Posedness of the Best Low-Rank Approximation Problem

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POD a-posteriori error estimates for linear-quadratic optimal control problems

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Local Convergence of the Alternating Least Squares Algorithm for Canonical Tensor Approximation

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Identifiers

10.7153/dea-2022-14-32

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5868296

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