## Alexander Mikhalev¶

## PhD Student at CMC MSU, research engineer at Skoltech¶

### Research interests¶

Alexander is the main developer of the h2tools package for the black-box approximation of large dense matrices by sampling. He is also an author of the new algorithm for the rectangular maximum-volume submatrices, see https://bitbucket.org/muxas/rect_maxvol.

### All publications, sorted by year

- Alexander Fonarev, Alexander Mikhalev, Pavel Serdyukov, Gleb Gusev, and Ivan Oseledets. Efficient rectangular maximal-volume algorithm for rating elicitation in collaborative filtering. arXiv preprint 1610.04850, 2016. accepted at ICDM 2016. URL: http://arxiv.org/abs/1610.04850. [ bib ]
- A. Yu. Mikhalev and I. V. Oseledets.
Iterative representing set selection fo nested cross approximation.
*Numer. Linear Algebra Appl.*, 23(2):230–248, 2016. URL: http://arxiv.org/abs/1309.1773, doi:10.1002/nla.2021. [ bib ] - A. Yu. Mikhalev and I. V. Oseledets. Rectangular maximum-volume submatrices and their applications. arXiv preprint 1502.07838, 2015. URL: http://arxiv.org/abs/1502.07838. [ bib ]
- I. Ostanin, A. Mikhalev, D. Zorin, and I. Oseledets.
Engineering optimization with the fast boundary element method.
*WIT Transactions on Modelling and Simulation*, 61:7, 2015. doi:10.2495/BEM380141. [ bib ] - G.V. Ryzhakov, A.Yu. Mikhalev, D.A. Sushnikova, and I.V. Oseledets.
Numerical solution of diffraction problems using large matrix compression.
In
*Antennas and Propagation (EuCAP), 2015 9th European Conference on*, 1–3. April 2015. URL: http://ieeexplore.ieee.org/xpl/login.jsp?tp=&arnumber=7228667&url=http%3A%2F%2Fieeexplore.ieee.org%2Fxpls%2Fabs_all.jsp%3Farnumber%3D7228667. [ bib ] - I. V. Oseledets and A. Yu Mikhalev.
Representation of quasiseparable matrices using excluded sums and equivalent charges.
*Linear Algebra Appl.*, 436(3):699–708, 2012. doi:10.1016/j.laa.2011.07.041. [ bib ]