5 problems

Forsythe's conjecture. Oscillatory limiting behavior occurs for every fixed restart length $s$.

Let $\boldsymbol{A}\in\mathbb{R}^{m\times n}$ be the least-squares matrix, and let $\boldsymbol{R}$ be computed from $\boldsymbol{A}$ by sketching and $\textsf{QR}$ factorizing the…

Let the conjugate gradient method be restarted every $s$ steps, and consider its normalized error vectors or normalized residual vectors. Forsythe's conjecture. The normalized erro…

Gaussian limiting-distribution conjecture. The limiting distribution of $T$ is Gaussian.

Let $W_{n,\beta,d}$ be the well-conditioned Wishart matrix, let $\textbf b$ be the right-hand side, and let $t^{(\ell)}_{\epsilon}(W_{n,\beta,d},\textbf b)$ denote the conjugate-gr…