6 citations · 7 across the 3 of their papers we have counts for
4 papers
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…
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…