Let X, Y be two subspaces of summability domains of matrices with real or complex entries determined by speeds of the convergence, i.e.; by monotonically increasing positive sequences λ and μ. In this ...

The problem of calculating the eigensystem of a general complex matrix is well known. In many cases, however, the eigensystem is poorly determined numerically in the sense that small changes in the ...

Neural populations can change the computation they perform on very short timescales. Although such flexibility is common, the underlying computational strategies at the population level remain unknown ...

In a study published in Reports on Progress in Physics, researchers have achieved device-independent characterization of genuinely entangled subspaces (GESs) in both optical and superconducting ...

Computer scientists have discovered a new way to multiply large matrices faster than ever before by eliminating a previously unknown inefficiency, reports Quanta Magazine. This could eventually ...

A recent paper set the fastest record for multiplying two matrices. But it also marks the end of the line for a method researchers have relied on for decades to make improvements. For computer ...

Mathematicians love a good puzzle. Even something as abstract as multiplying matrices (two-dimensional tables of numbers) can feel like a game when you try to find the most efficient way to do it.