TY - JOUR

T1 - Algorithm for solving the inverse magnetometry problem of reconstruction three-dimensional distribution of magnetization

AU - Akimova, Elena

AU - Misilov, Vladimir

AU - Miftakhov, Valeriy

PY - 2023

Y1 - 2023

N2 - The paper is devoted to developing an algorithm for solving the inverse problem of finding three-dimensional distribution of magnetization in a rectangular parallelepiped. This problem is ill-posed and described by the integral Fredholm equation of the first kind. The problem is reduced to solving a system of linear algebraic equations. To solve this system, the biconjucate gradient method is used. The implemented optimized algorithm exploits the Toeplitz-block-Toeplitz structure of the system matrix to reduce the memory requirements and computing time. © 2023 American Institute of Physics Inc.. All rights reserved.

AB - The paper is devoted to developing an algorithm for solving the inverse problem of finding three-dimensional distribution of magnetization in a rectangular parallelepiped. This problem is ill-posed and described by the integral Fredholm equation of the first kind. The problem is reduced to solving a system of linear algebraic equations. To solve this system, the biconjucate gradient method is used. The implemented optimized algorithm exploits the Toeplitz-block-Toeplitz structure of the system matrix to reduce the memory requirements and computing time. © 2023 American Institute of Physics Inc.. All rights reserved.

UR - http://www.scopus.com/inward/record.url?partnerID=8YFLogxK&scp=85176795337

U2 - 10.1063/5.0162180

DO - 10.1063/5.0162180

M3 - Conference article

VL - 2848

JO - AIP Conference Proceedings

JF - AIP Conference Proceedings

SN - 0094-243X

IS - 1

M1 - 190001

ER -