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linear algebra
algorithms
Matrix Multiplication Inches Closer to Mythic Goal
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.
algorithms
New Algorithm Breaks Speed Limit for Solving Linear Equations
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.
Abstractions blog
Graced With Knowledge, Mathematicians Seek to Understand
A landmark proof in computer science has also solved an important problem called the Connes embedding conjecture. Mathematicians are working to understand it.
geometry
A New Path to Equal-Angle Lines
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.