For systems of matrix equations of the form $$U' = A(t, U, V)V,\quad V' = - B(t, U, V)$$ it is shown here that the oscillation problem can be reduced to the ...

The inspiration for this column comes not from the epic 1999 film The Matrix, as the title may suggest, but from an episode of Sean Carroll’s Mindscape podcast that I listened to over the summer. The ...

Random matrix theory (RMT) has emerged as a powerful framework for analysing complex systems across physics, statistics and beyond, by examining the statistical properties of matrices with random ...

This is a preview. Log in through your library . Abstract Matrix Riccati Differential Equations (MRDEs) X′ = A 21 - XA 11 + A 22 X - XA 12 X, X(0) = X0, where A ij ≡ A ij (t), appear frequently ...