22 citations · 44 across the 8 of their papers we have counts for
8 papers
Balancing act: multivariate rational reconstruction for IBP
A. V. Belitsky, A. V. Smirnov, R. V. Yakovlev
We address the problem of unambiguous reconstruction of rational functions of many variables. This is particularly relevant for recovery of exact expansion coefficients in integrat…
Convexification inversion method for nonlinear SAR imaging with experimentally collected data
M. V. Klibanov, V. A. Khoa, A. V. Smirnov +4
This paper is concerned with the study of a version of the globally convergent convexification method with direct application to synthetic aperture radar (SAR) imaging. Results of…
The tensor rank of 5x5 matrices multiplication is bounded by 98 and its border rank by 89
Alexandre Sedoglavic, Alexey V. Smirnov
We present a non-commutative algorithm for the product of 3x5 by 5x5 matrices using 58 multiplications. This algorithm allows to construct a non-commutative algorithm for multiplyi…
Through-the-Wall Nonlinear SAR Imaging
Michael V. Klibanov, Alexey V. Smirnov, Vo Anh Khoa +2
An inverse scattering problem for SAR data in application to through-the-wall imaging is addressed. In contrast with the conventional algorithms of SAR imaging, that work with the…
Convexification for an Inverse Problem for a 1D Wave Equation with Experimental Data
Alexey Smirnov, Michael Klibanov, Anders Sullivan +1
The forward problem here is the Cauchy problem for a 1D hyperbolic PDE with a variable coefficient in the principal part of the operator. That coefficient is the spatially distribu…
Convexification for a 1D Hyperbolic Coefficient Inverse Problem with Single Measurement Data
Alexey V. Smirnov, Michael V. Klibanov, Loc H. Nguyen
A version of the convexification numerical method for a Coefficient Inverse Problem for a 1D hyperbolic PDE is presented. The data for this problem are generated by a single measur…
On an inverse source problem for the full radiative transfer equation with incomplete data
Alexey V. Smirnov, Michael V. Klibanov, Loc H. Nguyen
A new numerical method to solve an inverse source problem for the radiative transfer equation involving the absorption and scattering terms, with incomplete data, is proposed. No r…
The Approximate Bilinear Algorithm of Length 46 for Multiplication of 4 x 4 Matrices
A. V. Smirnov
We propose the arbitrary precision approximate (APA) bilinear algorithm of length 46 for multiplication of 4 x 4 and 4 x 4 matrices. The algorithm has polynomial order 3 and 352 no…