11 citations · 22 across the 15 of their papers we have counts for
4 papers · 1 filter
A Practical Approach to Quasi-convex Optimization
Sompong Dhompongsa, Poom Kumam
A new and simple method for quasi-convex optimization is introduced from which its various applications can be derived. Especially, a global optimum under constrains can be approxi…
A practical approach to optimization
Sompong Dhompongsa, Wachirapong Jirakitpuwapat, Konrawut Khammahawong +1
We present a new approach for finding a minimal value of an arbitrary function assuming only its continuity. The process avoids verifying Lagrange- or KKT-conditions. The method en…
Lefschetz numbers and fixed point theory in digital topology
Muhammad Sirajo Abdullahi, Poom Kumam, P. Christopher Staecker
In this paper, we present two types of Lefschetz numbers in the topology of digital images. Namely, the simplicial Lefschetz number and the cubical Lefschetz number $\bar L(…
Iterative algorithm with structured diagonal Hessian approximation for solving nonlinear least squares problems
Aliyu Muhammed Awwal, Poom Kumam, Hassan Mohammad
Nonlinear least-squares problems are a special class of unconstrained optimization problems in which their gradient and Hessian have special structures. In this paper, we exploit t…