Name
Title | ||
|---|---|---|
Proper generalized decomposition for nonlinear convex problems in tensor Banach spaces |
Abstract | ||
|---|---|---|
Tensor-based methods are receiving a growing interest in scientific computing for the numerical solution of problems defined in high dimensional tensor product spaces. A family of methods called proper generalized decompositions (PGD) methods have been recently introduced for the a priori construction of tensor approximations of the solution of such problems. In this paper, we give a mathematical analysis of a family of progressive and updated PGDs for a particular class of problems associated with the minimization of a convex functional over a reflexive tensor Banach space. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1007/s00211-011-0437-5 | Numerische Mathematik |
Keywords | Field | DocType |
proper generalized decomposition,tensor-based method,reflexive tensor banach space,particular class,mathematical analysis,tensor approximation,scientific computing,high dimensional tensor product,nonlinear convex problem,numerical solution,updated pgds,decomposition method,functional analysis,banach space,convex function,numerical analysis,tensor product | Mathematical optimization,Tensor (intrinsic definition),Tensor,Mathematical analysis,Cartesian tensor,Symmetric tensor,Tensor product of Hilbert spaces,Ricci decomposition,Tensor contraction,Topological tensor product,Mathematics | Journal |
Volume | Issue | ISSN |
121 | 3 | 0945-3245 |
Citations | PageRank | References |
19 | 0.95 | 10 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Antonio Falcó | 1 | 41 | 5.43 |
| Anthony Nouy | 2 | 72 | 9.56 |