The second talk will follow on from the first, and will describe more technical aspects, together with applications, of the modern theory of Toeplitz matrices. Lecture 3: Computing the eigenvalues of ...

Recently, in order to find the principal moments of inertia of a large number of rigid bodies, it was necessary to compute the eigenvalues of many real, symmetric 3 × 3 matrices. The available ...

In the following, we expect that these proximities are at least symmetric, but do not necessarily ... Those modifications to the eigenvalues (and implicitly on the contribution to the matrix) are: ...

This important study shows how the relative importance of inter-species interactions in microbiomes can be inferred from empirical species abundance data. The methods based on statistical physics of ...

Protons minimize energy by forming pairs with opposite spin. Same for neutrons. Each pair acts like a particle in its own right. So nuclei act very differently depending on whether they have an even ...

Masaki Kashiwara, this year’s Abel Prize winner, co-founded a new field of mathematics called algebraic analysis ...

Osaka Metropolitan University physicists present a case study of the critical phenomena around Argyres-Douglas singularity of N = 2 susy made at (𝐴1, 𝐴4𝑘−1), 𝑘=1,2 realized by one unitary matrix ...

The totality of the eigenvalues of the Laplacian of a compact Riemannian manifold is called the spectrum. We describe how the spectrum determines a Riemannian manifold. The continuity of the ...

Positive definite matrices are widely used in machine learning and probabilistic modeling, especially in applications related to graph analysis and Gaussian models. It is not uncommon that positive ...