Tridiagonal matrix systems, characterised by nonzero entries on the main diagonal and immediate off-diagonals, arise in diverse fields such as fluid dynamics, signal processing and quantum mechanics.

Abstract: Recently, analog matrix inversion circuits (INV) have demonstrated significant advantages in solving matrix equations. However, solving large-scale sparse tridiagonal linear systems (TLS) ...

Abstract: Factorizing a low-rank matrix into two matrix factors with low dimensions from its noisy observations is a classical but challenging problem arising from real-world applications. This paper ...

Shortest path algorithms like Dijkstra, BFS, and advanced approximations power everything from Google Maps to network routing. Understanding when and how to apply them can save time and resources in ...