Resultants

Resultants

August 12, 2025 · 11 min · Pantelis Sopasakis

What is a Gröbner basis and how to make one

Gröbner bases, S-polynomials, Buchberger’s criterion and algorithm

August 11, 2025 · 19 min · Pantelis Sopasakis

Hilbert Basis Theorem

Hilbert Basis Theorem

August 5, 2025 · 4 min · Pantelis Sopasakis

Ideals generated by polynomials

Ideals generated by polynomials

August 4, 2025 · 9 min · Pantelis Sopasakis

Division of multivariate polynomials

Division of multivariate polynomials

August 3, 2025 · 7 min · Pantelis Sopasakis

Monomial ideals and Dickson's lemma

Monomial ideals and Dickson’s lemma

August 2, 2025 · 6 min · Pantelis Sopasakis

Monomial orderings

Monomial orderings

August 1, 2025 · 7 min · Pantelis Sopasakis

Kim: Exercise 3.1.R (Tensors)

An interesting exercise from D. Kim, A rough guide to linear algebra

July 31, 2025 · 2 min · Pantelis Sopasakis

Tensor trace

In this post we will look at the familiar trace operation in the context of tensors

July 31, 2025 · 4 min · Pantelis Sopasakis

Nonlinear model predictive control for autonomous navigation of small-scale cars

Discussion of design and simulation results of NMPC controlled small-scale car

December 1, 2024 · 18 min · NVS Chandra Mouli G