This paper presents a residual approach of the square root balanced truncation algorithm for model order reduction of continuous, linear…
By constructing a Lyapunov functional, we obtain some sufficient conditions which guarantee the stability and boundedness of solutions for some…
Let $G(V,E)$ be a simple, finite, connected, undirected graph. Distance two labeling or $L(2,1)$-labeling of a graph $G$ is an…
The matrix completion problem (MC) has been approximated by using the nuclear norm relaxation. Some algorithms based on this strategy…
The Kadomtsev-Petviashvili I (KPI) equation is the difficult nonlinear wave equation $U_{xt} + 6U_x^2 + 6UU_{xx} + U_{xxxx} = 3U_{yy}.$…
We present an open-source software package written for GNU Octave. The software is an implementation of the Simplex algorithm for…
PDE2D is a general-purpose partial differential equation solver which solves very general systems of nonlinear, steady-state, time-dependent and eigenvalue PDEs…
The LovoAlign method for Protein Alignment, based on the Low-Order Value Optimization theory, is recalled. The method is modified in…
We show that for any natural number $n$, an exponential distribution can be written as the sum of $n$ discontinuous…
The topological study of the so-called "motion planning algorithms" emerged in the 2003-2004 with the works of M. Farber. We…