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cs.SC2026
Least-Squares and Low-Rank Approximation for Linear Relations Using a Diagrammatic Language
Júlia de Araújo Mota, Iago Leal de Freitas, Lucas Rufino +1
We employ the machinery of linear relations to the study of optimization problems in linear algebra. We first show that the relational version of the pseudo-inverse can be realized…
cs.SC2025
Generalizing the Invertible Matrix Theorem with Linear Relations using Graphical Linear Algebra
Iago Leal de Freitas, Júlia Mota, João Paixão +1
Linear algebra's main concerns are sets of vectors, linear functions, subspaces, linear systems, matrices and concepts about those, such as whether the solution of linear system ex…