The paper was published in the SIAM Journal on Matrix Analysis and Applications, Vol.25, No.3 (2004), pp. 858-899.
The SIAG/LA Prize is awarded to the authors of the most outstanding paper published in a relevant journal, as determined by the prize committee, on a topic in applicable linear algebra published in English in a peer-reviewed journal in the three calendar years preceding the year of the award.
A plaque and a certificate citation were presented at the Joint GAMM-SIAM Conference on Applied Linear Algebra on July 25, 2006 at the University of Düsseldorf in Germany. The citation says that the paper "contains a beautiful analysis and exposition of how to compute orthogonal eigenvectors of symmetric tridiagonal matrices."
Previous winners of the award include James Demmel (University of California, Berkeley), Alan Edelman (Massachusetts Institute of Technology), Stanley Eisenstat (Yale University), Ming Gu (University of California, Berkeley), William Kahan (University of California, Berkeley) and Henk van der Vorst (Utrecht University).
Inderjit Dhillon is an associate professor in the Department of Computer Sciences at the University of Texas at Austin, while Beresford Parlett is an emeritus professor of Mathematics and Computer Science at the University of California, Berkeley.