11 papers
A -adic Recurrence for the Fixed Points of the Josephus Function
Yunier Bello-Cruz, Roy Quintero-Contreras
In the Josephus problem with stepsize four, the participants in a circle are eliminated one by one, every fourth person leaving, until a single survivor remains. A fixed point occu…
The Method of Ellipcenters for Strongly Convex Functions
Yunier Bello-Cruz
The Method of Ellipcenters (ME), introduced in~\cite{ME2025} for strongly convex quadratic minimization, uses two gradient evaluations per iteration: one at the current iterate and…
Q-quadratic convergence of the centralized circumcentered-reflection method under a relative interior condition
Yunier Bello-Cruz
The centralized circumcentered-reflection method (\cCRM) of Behling, Bello-Cruz, Iusem, and Santos~\cite{Behling:2024} is known to converge superlinearly for the feasibility proble…
On the sharp linear convergence rate of the circumcentered--reflection method on subspaces
Yunier Bello-Cruz
For two subspaces $U,V\subseteq\RR^n$, the circumcentered--reflection method (CRM) of Behling, Bello-Cruz, and Santos~\citeyearpar{BBS2018} computes the projection onto u…
On the geometry of circumcentric directions of cones
Yunier Bello-Cruz
Behling, Bello-Cruz, Lara-Urdaneta, Oviedo, and Santos showed that the circumcentric direction of a finitely generated polyhedral cone $\KK\subset\RR^n$ admits an inscribed Euc…
Basis pursuit by inconsistent alternating projections
Roger Behling, Yunier Bello-Cruz, Luiz-Rafael Santos +1
Basis pursuit is the problem of finding a vector with smallest -norm among the solutions of a given linear system of equations. It is a well-known convex relaxation of the…