17 citations · 94 across the 49 of their papers we have counts for
5 papers · 1 filter
Efficiency and Convergence Insights in Large-Scale Optimization Using the Improved Inexact-Newton-Smart Algorithm and Interior-Point Framework
Neda Bagheri Renani, Maryam Jaefarzadeh, Daniel Sevcovic
We present a head-to-head evaluation of the Improved Inexact--Newton--Smart (INS) algorithm against a primal--dual interior-point framework for large-scale nonlinear optimization.…
On Construction of Upper and Lower Bounds for the HOMO-LUMO Spectral Gap
Sona Pavlikova, Daniel Sevcovic
In this paper we study spectral properties of graphs which are constructed from two given invertible graphs by bridging them over a bipartite graph. We analyze the so-called HOMO-L…
Maximization of the Spectral Gap for Chemical Graphs by means of a Solution to a Mixed Integer Semidefinite Program
Sona Pavlikova, Daniel Sevcovic
In this paper we analyze the spectral gap of a weighted graph which is the difference between the smallest positive and largest negative eigenvalue of its adjacency matrix. Such a…
Application of the Enhanced Semidefinite Relaxation Method to Construction of the Optimal Anisotropy Function
Daniel Sevcovic, Maria Trnovska
In this paper we propose and apply the enhanced semidefinite relaxation technique for solving a class of non-convex quadratic optimization problems. The approach is based on enhanc…
Solution to the Inverse Wulff Problem by Means of the Enhanced Semidefinite Relaxation Method
Daniel Sevcovic, Maria Trnovska
We propose a novel method of resolving the optimal anisotropy function. The idea is to construct the optimal anisotropy function as a solution to the inverse Wulff problem, i.e. as…