Research · Collaboration · Open Source

About the NIEP Research Hub

An open-source initiative dedicated to advancing research on spectral problems of nonnegative matrices through interactive software, open datasets, and rigorous theoretical surveys.

🤝 How You Can Help & Contribute

We warmly welcome contributions from mathematicians, computational scientists, developers, and students

🧐 Mathematics & Theory

Mathematicians & Researchers

  • Submit new spectral realizability criteria or sufficiency theorems.
  • Contribute counterexamples or edge-case spectra for dimensions $n \ge 5$.
  • Expand and peer-review articles in the Theory Wiki (e.g. RNIEP, SNIEP, Perron Similarities).
  • Suggest references, proofs, or landmark papers in modern inverse eigenvalue literature.
💻 Software & Algorithms

Developers & Engineers

  • Optimize numerical realization algorithms (e.g., Riemannian conjugate gradient, Nelder-Mead).
  • Enhance WebGL 3D polytope rendering and high-DPI Canvas graphics.
  • Improve mobile touch interactions, responsiveness, and assistive accessibility.
  • Add matrix export formatters (Julia, SymPy, Octave, Rust ndarray).
🎓 Education & Community

Students & Educators

  • Test the interactive visualizers and report usability suggestions or bugs.
  • Design classroom tutorials, pedagogical walkthroughs, or problem sets.
  • Help proofread mathematical typography, LaTeX formulas, and explanations.
  • Contribute interesting test spectra and visualization presets.

Ready to get started?

Whether you have ideas for new theory articles, numerical algorithms, or UI improvements, the easiest ways to get involved are:

👤 Project Maintainer

Academic background and research focus

This research platform is maintained by Benjamin J. Clark, Ph.D., a mathematician specializing in nonnegative matrix theory, inverse eigenvalue problems, spectral graph theory, and mathematical computing.

For inquiries regarding mathematical collaboration, talks, or joint research projects, please visit the Personal Profile or explore our Research Publications.