These linear systems of equations can be expressed as a matrix, which is then passed to a solver to find the solution to Ax = b. Dense matrices, in which a value is stored in memory for every matrix ...

“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 n 2.332 steps. This ...

Includes vector spaces, matrices, linear systems, and eigenvalues. Includes the basics of floating point computation and numerical linear algebra. Specific Goals. By the end of this course, students ...