New posts in Numerical Linear Algebra

How to show this particular $4 \times 4$ matrix is positive definite?

If a matrix $A \in \mathbb{R}^{N\times N}$ is both row and column diagonally dominant, will it satisfy $(x^{2p-1})^T A x \geq 0, p \geq 1$?

Is there a way to determine the eigenvectors of a matrix without working out the eigenvalues?

What is the most efficient way to find the inverse of large matrix?

Condition number and $LU$ decomposition

When solving a linear system, why SVD is preferred over QR to make the solution more stable?

What does QR decomposition have to do with least squares method?

Upper bounds on the approximate inverse of a singular matrix

What makes Krylov subspaces so special?

Determinant of large matrices: there's GOTTA be a faster way