Abstract: Constructing linear combinations of idempotent matrices is one of important issues. This paper firstly proposes the definition of n - by - n idempotent matrix of k. Then, the conditions that ...

Abstract: This paper studies the problem whether the smallest eigenvalue of constrained linear combinations of symmetric matrices can reach a desirable value, which actually extends the mathematical ...

and Singular Value Decomposition ($\bm{U \Sigma V\transp}$). All the artworks including this article are maintained in the GitHub repository \url{https://github.com ...

Presenting an algorithm that solves linear systems with sparse coefficient matrices asymptotically faster than matrix multiplication for any ω > 2. Our algorithm can be viewed as an efficient, ...

Welcome to MIT 18.06: Linear Algebra! The Spring 2023 course information, materials, and links are recorded below. Course materials for previous semesters are archived in the other branches of this ...

A new publication from Opto-Electronic Advances; DOI 10.29026/oea.2024.230180, discusses orthogonal matrix of polarization combinations: concept and application to multichannel holographic recording.