4 problems

Let $R_m$ and $S_m$ denote the corresponding error bounds for parameters $ell\hspace{0.25ex}\in[\frac12,1]$, $\alpha\in[\frac12,1]$, and integer $m\geq 1$. The relative error is…

Let $q$ denote the fixed-point iteration process in Eq., and let $\Psi$ denote the Anderson-acceleration process in Eq., with asymptotic convergence factors $\rho_q$ and…

Let $\pi^n=(\pi^n_0,\ldots,\pi^n_n)$ be an optimal sequence for the sequential optimization problem $\mathrm{(s_n)}$, and let $\mathrm{(ms_n)}$ denote its monotone-sequence restric…

Let $X$ be an $N$-dimensional Hilbert space, let $S:=\{x\in X\colon\|x\|=1\}$ be the unit sphere, and let $L:=\{x=\lambda a+\alpha b\colon\lambda\in\mathbb{R}\}$, where $a,b$ are o…