Matrix theory is one of the most fundamental tools of mathematics and science, and a
number of classical books on matrix analysis have been written to explore this theory. As a …

In this paper, we propose a cognitive approach to design phase-only modulated waveforms
sharing a desired range-Doppler response. The idea is to minimize the average value of the …

Moving target defense (MTD) is becoming promising in thwarting the false data injection
attacks (FDIAs) on power system state estimation (SE). However, due to the nonlinear …

In this paper, we propose a new method for polynomial optimization with real or complex
decision variables. The main ingredient of the approach is to apply the classical alternating …

We consider the problem of finding the global optimum of a real-valued complex polynomial
on a compact set defined by real-valued complex polynomial inequalities. It reduces to …

This paper is concerned with the power system state estimation (PSSE) problem that aims to
find the unknown operating point of a power network based on a given set of measurements …

Transmission system operators need to adapt their decision-making tools to the
technological evolutions of the twenty first century. A computation inherent to most tools …

The MBI (maximum block improvement) method is a greedy approach to solving
optimization problems where the decision variables can be grouped into a finite number of …

Many real-world data arise naturally as tensors. Equipped with a low rank prior, learning
algorithms can benefit from exploiting the rich dependency encoded in a tensor. Despite its …

Random sampling is a simple but powerful method in statistics and in the design of
randomized algorithms. In a typical application, random sampling can be applied to estimate …