About the Laboratory
Mission
Welcome to the Math-oriented Approach Laboratory (M.A.L.).
This site is a personal hobby project where the administrator explores "equations of the world," solving them using numerical methods and archiving the convergence processes and results.
Mathematics is the purest language for describing the natural world and engineering challenges. I aim to rediscover its beauty and record the process of unraveling complex problems.
Research Themes
Based on knowledge of numerical analysis from my student days, I publish information centered on the following topics:
- ・Solving Benchmark Problems
Tackling famous nonlinear equations and difficult benchmark problems using various approaches. - ・Implementation of Numerical Algorithms
Explanations and implementation experiments of algorithms used to derive solutions, such as the Homotopy method and Newton's method. - ・Utilizing Tools as Solvers
Circuit simulators like SPICE are treated here not as circuit design tools, but strictly as "excellent solvers for large systems of equations," verifying and utilizing their computational capabilities.
Profile
Dr. WataWata
Ph.D. in Engineering / Kendo Kyoshi 7th Dan
Firmware Development Engineer / Numerical Analysis Enthusiast
I currently work as a firmware development engineer at a corporation. I specialized in numerical analysis during my university years and hold a Ph.D. Today, I apply those mathematical approaches to algorithm design in practical firmware development.
I am also a martial artist holding the rank of Kendo Kyoshi 7th Dan. The "static" nature of mathematics and the "dynamic" nature of Kendo may seem contrasting, but they both share a deep emphasis on "Logic (Riai)" and "Practice (Shuren)", serving as the two driving wheels of my life.
At work, I build "things that move"; as a hobby, I solve "unsolvable equations." Perhaps as a reaction to my daily battles with hardware constraints, I find no greater joy than facing complex equations in a purely mathematical space.
🧬 Ongoing Project
Currently developing the original hybrid optimization solver "MAL-Seeker".
Latest: Antares Ver 1.2.0 (2026.03.20)
Origin of "M.A.L."
Formal Name: Math-oriented Approach Laboratory
While holding the philosophy of "approaching the essence of problems with a Math-oriented approach," there is actually another meaning important to me.
The acronym "M.A.L." is taken from the name of my beloved dog, "Maru", who once supported my life.
Even when facing complex and difficult problems (equations), I want to solve them simply, with charm and persistence just like Maru. With that wish, I named this place M.A.L.
Update History
| 2026.04.05 | v1.0.16: Added Ackley Function (20D) to Equations Archive. |
| 2026.04.01 | v1.0.15: Added Schwefel Function (5D) to Equations Archive. |
| 2026.03.28 | v1.0.14: Added new benchmark problems to Equations Archive. |
| 2026.03.27 | v1.0.13: Launched the new "Projects" section. |
| 2026.03.27 | v1.0.12: Added a 10-variable system to Equations Archive. |
| 2026.03.20 | v1.0.11: Added Rastrigin Function to Equations Archive. |
| 2026.03.01 | v1.0.10: Added Himmelblau's system to Equations Archive. |
| 2026.02.19 | v1.0.9: Added Wilkinson's Polynomial to Equations Archive. |
| 2026.02.07 | v1.0.8: Added Multiphase Equilibrium to Equations Archive. |
| 2026.02.03 | v1.0.7: Added Scarf's Economic Equilibrium Problem to Equations Archive. |
| 2026.01.31 | v1.0.6: Added Chandrasekhar's H-equation to Equations Archive. |
| 2026.01.23 | v1.0.5: Added Linear Complementarity Problem to Equations Archive. |
| 2026.01.16 | v1.0.4: Added All-Solution Search via Homotopy Method to Equations Archive. |
| 2026.01.10 | v1.0.3: Added Linear Programming Problem to Equations Archive. |
| 2026.01.03 | v1.0.2: Added 1D Heat Conduction Equation to Equations Archive. |
| 2025.12.30 | v1.0.1: Added new benchmark problems to Equations Archive. |
| 2025.12.10 | v1.0.0: Opened Math-oriented Approach Laboratory - M.A.L. |
Disclaimer
While we strive for accuracy regarding the programs, formulas, and analysis results presented on this site, we do not guarantee their completeness or accuracy.
The laboratory (administrator) assumes no responsibility for any damages arising from the use of information on this site.