1956/01/01 by Roger Penrose · 4 citations
Computer Science · Mathematics · #Matrix Theory and Algorithms #Statistical and numerical algorithms #Advanced Optimization Algorithms Research #Generalization #Matrix (chemical analysis) #Mathematics #Generalized inverse #Applied mathematics #Inverse #Relevance (law) #Moore–Penrose pseudoinverse #Algebra over a field #Mathematical analysis #Pure mathematics #Geometry
paper · doi:10.1017/s0305004100030929
openalex publication_date 1956/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04
In an earlier paper (4) it was shown how to define for any matrix a unique generalization of the inverse of a non-singular matrix. The purpose of the present note is to give a further application which has relevance to the statistical problem of finding ‘best’ approximate solutions of inconsistent systems of equations by the method of least squares. Some suggestions for computing this generalized inverse are also given.