Projects per year

## Personal profile

### Research interests

I develop efficient algorithms for high--dimensional problems using low-rank tensor product approximations, linear and multilinear algebra, matrix analysis, and other methods of modern numerical mathematics.

## Fingerprint Fingerprint is based on mining the text of the person's scientific documents to create an index of weighted terms, which defines the key subjects of each individual researcher.

Tensors
Engineering & Materials Science

Tensor Product
Mathematics

Tensor
Mathematics

Multilinear Algebra
Mathematics

High-dimensional
Mathematics

Linear systems
Engineering & Materials Science

Matrix Analysis
Mathematics

nuclear magnetic resonance
Physics & Astronomy

##
Network
Recent external collaboration on country level. Dive into details by clicking on the dots.

## Projects 2017 2019

- 1 Finished

## Research Output 2013 2015

- 8 Article

## Fast tensor product solvers for optimization problems with fractional differential equations as constraints

Dolgov, S., Pearson, J., Savostyanov, D. & Stoll, M., 12 Nov 2015, 273, p. 604-623 20 p.Research output: Contribution to journal › Article › Research › peer-review

Open Access

File

Fractional Differential Equation

Tensor Product

Tensor

Optimization Problem

Competitiveness

## Alternating Minimal Energy Methods for Linear Systems in Higher Dimensions

Dolgov, S. & Savostyanov, D., 25 Sep 2014, 36, 5Research output: Contribution to journal › Article › Research › peer-review

Open Access

File

Linear systems

Tensors

Genes

Experiments

## Exact NMR simulation of protein-size spin systems using tensor train formalism

Savostyanov, D., Dolgov, S., Werner, J. & Kuprov, I., 15 Aug 2014, 90, 8Research output: Contribution to journal › Article › Research › peer-review

Open Access

File

Tensors

Nuclear magnetic resonance

Proteins

Hamiltonians

Linear systems

## On the Decay of the Elements of Inverse Triangular Toeplitz Matrices

Ford, N., Savostyanov, D. & Zamarashkin, N., 28 Oct 2014, 35, 4, p. 1288-1302 15 p.Research output: Contribution to journal › Article › Research › peer-review

Open Access

File

Triangular matrix

Toeplitz matrix

Fundamental Matrix

Decay

Inverse matrix

## Quantum mechanical NMR simulation algorithm for protein-size spin systems

Edwards, L., Savostyanov, D., Welderufael, Z., Lee, D. & Kuprov, I., 18 Apr 2014, 243, p. 107-113 7 p.Research output: Contribution to journal › Article › Research › peer-review

Open Access

File

proteins

nuclear spin

nuclear magnetic resonance

simulation

physical chemistry