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SIAM Journal on Scientific Computing· 2012Q1

Solution of Linear Systems and Matrix Inversion in the TT-Format

Ivan Oseledets, Sergey Dolgov

Short summary

A novel DMRG-based solver efficiently handles linear systems where both the matrix and right-hand side are represented in the tensor-train (TT) format, overcoming the curse of dimensionality.

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Field: Computational Mathematics

Computational MathematicsMathematics