3 papers
math.NA2026
Generalized Inverses of Matrix Products: From Fundamental Subspaces to Randomized Decompositions
Michał P. Karpowicz, Gilbert Strang
We investigate the Moore-Penrose pseudoinverse and generalized inverse of a matrix product to establish a unifying framework for generalized and randomized matrix inverses.…
math.NA2023
Elimination and Factorization
Gilbert Strang
If a matrix has rank , then its row echelon form (from elimination) contains the identity matrix in its first independent columns. How do we \emph{interpret the matrix}…
math.HO2015
Random Triangle Theory with Geometry and Applications
Alan Edelman, Gilbert Strang
What is the probability that a random triangle is acute? We explore this old question from a modern viewpoint, taking into account linear algebra, shape theory, numerical analysis,…