T. N. E. Greville

Papers

Total Citations

599

H-Index

About

T. N. E. Greville is best known for his foundational contributions to the theory and application of the pseudoinverse of a matrix—a concept that has become indispensable in numerical linear algebra, statistics, and control theory. In his landmark 1959 paper, “The Pseudoinverse of a Rectangular or Singular Matrix and Its Application to the Solution of Systems of Linear Equations” (250 citations), Greville provided a rigorous and accessible treatment of the pseudoinverse, extending earlier work by Moore and Penrose. The following year, his companion paper “Some Applications of the Pseudoinverse of a Matrix” (349 citations) demonstrated its practical power in solving least-squares problems, inconsistent linear systems, and differential equations. Together, these works established the pseudoinverse as a core tool in computational mathematics. Greville’s clear exposition and algorithmic insights—including the Greville algorithm for computing the pseudoinverse—have influenced generations of researchers and practitioners. His work remains highly cited, reflecting its enduring relevance in fields ranging from data science to robotics.