Proper Generalized Decomposition for Nonlinear Convex Problems in Tensor Banach Spaces

Details Proper Generalized Decomposition for Nonlinear Convex Problems in Tensor Banach Spaces Proper Generalized Decomposition for Nonlinear Convex Problems in Tensor Banach Spaces

2011-06-22

arxiv.org/abs/1106.4424v2

Mathematics

Numerical Analysis

Accepted in Numerische Mathematik

Scientific paper

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 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 Proper Generalized Decompositions for a particular class of problems associated with the minimization of a convex functional over a reflexive tensor Banach space.

Affiliated with

Also associated with

No associations

Rating

Proper Generalized Decomposition for Nonlinear Convex Problems in Tensor Banach Spaces does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Proper Generalized Decomposition for Nonlinear Convex Problems in Tensor Banach Spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Proper Generalized Decomposition for Nonlinear Convex Problems in Tensor Banach Spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-205787