Mirror symmetry implies that the probability distribution can, to some extent, reduce redundant information through symmetric transformations, thereby lowering the system's entanglement.

Leopard is a fast, modern implementation of sparse, multifrontal symmetric indefinite matrix factorization. It lets you factorize and solve for large sparse matrices much faster than what is possible ...

The eigenvector matrix is not symmetric (it is orthogonal). However, it appears that dsyev () only returns the upper/lower triangle of the eigenvector matrix, which is not enough to easily construct ...

We study several variants of decomposing a symmetric matrix into a sum of a low-rank positive semidefinite matrix and a diagonal matrix. Such decompositions have applications in factor analysis and ...

Nonnegative matrix factorization (NMF) is widely used for clustering with strong interpretability. Among general NMF problems, symmetric NMF is a special one that plays an important role in graph ...

A projection scheme to handle eigenvalue bounds for adaptive control with uncertain symmetric matrix parameters is introduced. Conventional parameter projection ...

MATRIX By Lauren Groff Maybe it’s the return of children’s crusades, Greta Thunberg’s for the environment, David Hogg’s against gun violence. Or the unrelenting death knell of a plague ...