2013/04/28 by Michael F. Zimmer, Zimmer, Michael F.
Computer Science · Mathematics · #15A06 #15A09 #Advanced Optimization Algorithms Research #FOS: Mathematics #Matrix Theory and Algorithms #Numerical Methods and Algorithms #Rings and Algebras (math.RA)
paper · pdf · doi:10.48550/arxiv.1304.7491
openalex publication_date 2013/04/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A new algorithm is presented for computing a direct solution to a system of consistent linear equations. It produces a minimum norm particular solution, a generalized inverse (of type 124), and a null space projection operator. In addition, the algorithm permits an online formulation so that computations may proceed as the data become available. The algorithm does not require the solution of a triangular system of equations, nor does it rely on block partitioned matrices.