“We had to control how big a number shows up as we do this guessing and coordination,” said Peng. Peng and Vempala prove that their algorithm can solve any sparse linear system in n2.332 steps. This ...

Consider the following example. Despite two very large numbers, you can probably solve the following equation in a near instant: 999999999999999 - 999999999999998 ...

The latest quantum algorithm is generating excitement among physicists. It tackles linear equations: expressions such as 3x + 2y = 7 and typically written with unknowns on one side and constants ...

Based on the generalized minimal residual (GMRES) principle, Hu and Reichel proposed a minimal residual algorithm for the Sylvester equation. The algorithm requires the solution of a structured least ...

And, as quantum systems become increasingly complex, Schrödinger's equation gets much, much harder to solve using classical hardware—the implication being that modeling the behavior of 5,000 of ...