Arnold Mathematical Journal
SCOPUS (2015-2023)
2199-6806
2199-6792
Thụy Sĩ
Cơ quản chủ quản: Springer International Publishing AG
Lĩnh vực:
Mathematics (miscellaneous)
Các bài báo tiêu biểu
On the Geometry of the Set of Symmetric Matrices with Repeated EigenvaluesAbstract
We investigate some geometric properties of the real algebraic variety
$$\Delta $$
Δ
of symmetric matrices with repeated eigenvalues. We explicitly compute the volume of its intersection with the sphere and prove a Eckart–Young–Mirsky-type theorem for the distance function from a generic matrix to points in
$$\Delta $$
hiện toàn bộ
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Solvability of Equations by Quadratures and Newton’s Theorem
Tập 4 - Trang 193-211 - 2018
Picard–Vessiot theorem (1910) provides a necessary and sufficient condition for solvability of linear differential equations of order n by quadratures in terms of its Galois group. It is based on the differential Galois theory and is rather involved. Liouville in 1839 found an elementary criterium for such solvability for
......