A new mathematical approach to finding global solutions of the magnetic structure determination problem.

ABSTRACT: Determination of magnetic structure is an important analytical procedure utilized in various fields ranging from fundamental condensed-matter physics and chemistry to advanced manufacturing. It is typically performed using a neutron diffraction technique; however, finding global solutions of the magnetic structure optimization problem represents a significant challenge. Generally, it is not possible to mathematically prove that the obtained magnetic structure is a truly global solution and that no solution exists when no acceptable structure is found. In this study, the global optimization technique called semidefinite relaxation of quadratic optimization, which has attracted much interest in the field of applied mathematics, is proposed to use as a new analytical method for the determinat

SUBMITTER: Tomiyasu K 

PROVIDER: S-EPMC6212504 | biostudies-literature | 2018 Nov

REPOSITORIES: biostudies-literature