The textbook Matrix Iterative Analysis serves as a primary reference for scholars exploring numerical linear algebra. Authored by Richard S. Varga, this work reflects a career spanning decades of research into complex analysis, matrix theory, and computational mathematics. Born in Cleveland in 1928, Varga dedicated his professional life to the United States university system and private research laboratories.
Academic Formation
Varga began his higher education at Case Western Reserve University between 1947 and 1950. He later moved to Harvard University, completing his graduate studies there from 1950 to 1954. His doctoral work was conducted under the supervision of Joseph L. Walsh, focusing on the theory of rational approximation of complex analytic functions. His dissertation was titled Properties of a Special Set of Entire Functions and their Respective Partial Sums.
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His career commenced at the Bettis Atomic Power Laboratory, where he served from 1954 to 1960. He subsequently transitioned to academia, returning to Case Western Reserve University as a professor from 1960 to 1969. In 1969, he joined the faculty of Kent State University, where he remained until 2007. During his tenure at Kent State, he held multiple leadership roles, including director and research director of the Institute for Computational Mathematics.
Research and Contributions
Varga’s research output spanned numerical analysis, linear algebra, and approximation theory. He collaborated with Garrett Birkhoff on iterative methods for differential equations and the study of positive matrices. His investigations into analytic number theory included high-precision calculations related to the Riemann hypothesis, and he frequently explored Padé approximation methods, often in partnership with Edward B. Saff, Jr. He also served as the Editor-in-Chief for the journal Electronic Transactions on Numerical Analysis.
Recognition and Awards
The scientific community acknowledged Varga’s contributions through several honors. He received a Guggenheim Fellowship in 1962 and the Humboldt Prize in 1982. In 1992, the University of Lille-I granted him an honorary doctorate. Later honors included the Hans Schneider Prize in 2005, followed by his appointment as a Fellow of the Society for Industrial and Applied Mathematics in 2012 and the American Mathematical Society in 2013.
Fast facts
- Born: 1928, Cleveland
- Died: 2022, Cleveland
- Education: Harvard University, Case Western Reserve University
- Key Publication: Matrix Iterative Analysis
- Humboldt Prize: 1982
- Hans Schneider Prize: 2005
- Citizenship: United States
- Fields: Numerical Analysis, Number Theory, Matrix Theory
Questions readers ask
What were Richard S. Varga's primary research interests?
He focused on numerical analysis, linear algebra, complex analysis, approximation theory, and analytic number theory.
Where did Richard S. Varga hold academic positions?
He held positions at Case Western Reserve University and Kent State University, and worked at the Bettis Atomic Power Laboratory.
Achievements
- Hans Schneider Prize — 2005
- Humboldt Prize — 1982
- Held posts at Case Western Reserve University, Kent State University and Bettis Atomic Power Laboratory
- Fields: mathematical analysis, number theory and mathematics
