Результаты исследований: Вклад в журнал › Материалы конференции › Рецензирование
Результаты исследований: Вклад в журнал › Материалы конференции › Рецензирование
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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 -
ID: 48549912