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linear algebra

A graphic showing improvements in the speed of matrix multiplication

Matrix Multiplication Inches Closer to Mythic Goal

March 23, 2021

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.


New Algorithm Breaks Speed Limit for Solving Linear Equations

March 8, 2021

By harnessing randomness, a new algorithm achieves a fundamentally novel — and faster — way of performing one of the most basic computations in math and computer science.

Animation showing multiple particles of light flowing together and leaving blue trails
Abstractions blog

Graced With Knowledge, Mathematicians Seek to Understand

April 8, 2020

A landmark proof in computer science has also solved an important problem called the Connes embedding conjecture. Mathematicians are working to understand it.


A New Path to Equal-Angle Lines

April 11, 2017

Equiangular lines are an elemental part of geometry. Mathematicians have discovered a tighter limit on the number of such lines that exist in every dimension.