2 problems

Let $A=A^T\in\mathbb{R}^{n\times n}$ be symmetric. For an integer $s$ satisfying $1\leq s<d(A)$, let $v_0\in\mathbb{R}^n$ be a unit-norm initial vector with $d(A,v_0)\geq s+1$, and…

Let $A$ be a matrix, and consider the Arnoldi cross iteration, which alternately uses $A$ and $A^T$ in the Arnoldi projection process; for symmetric matrices this is the correspond…