| J.Alan George
Adjunct Professor of Computer Science; Associate Provost, Information Systems & Technology Joined School 1971 BSc (Alberta),
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Professor George is interested in large scale scientific computation generally, but mainly in problems associated with solving very large sparse systems of equations. A sparse system of equations is one in which most of the coefficients in the equations are zero. This is a natural consequence of the fact that models for physical systems usually involve direct relations only among quantities that are “close” to each other. For example, the stresses at joints at opposite edges of a bridge or an airplane are not directly related, but only indirectly related through relationships among joints that are directly connected by a beam or strut. Thus, the vast majority of systems of equations that arise in science and engineering are sparse. Moreover, solving these systems represents a major component of the total cost of the design and analysis of the structure. Professor George's interests are in the development, analysis and implementation of efficient methods for solving such systems.
He and his students have developed a software package called SPARSPAK, which is widely distributed under license by the University of Waterloo.
Fellow, Society for Industrial and Applied Mathematics (2009); Research Prize, Canadian Applied and Industrial Mathematics Society (2008); Professor Emeritus, University of Waterloo (2005); Fellow, Fields Institute for Mathematical Sciences (2002); Fellow, Institute for Electrical and Electronics Engineers (1993); Governor-General's Commemorative Medal for the 125th Anniversary of Canada (1992); Fellow, Royal Society of Canada (1992); Fellow, Institute for Combinatorics and its Applications (1989); G.E. Forsythe Award for Leadership in Numerical Mathematics, ACM (1982); Fellow, Institute for Mathematics and its Applications (1981)
Professor George was a Distinguished Scientist at the Oak Ridge National Laboratory and University Professor of Mathematics and Computer Science at the University of Tennessee at Knoxville from 1986 to 1988. He has been a consultant to various companies and government agencies in Canada, the United States, and Britain, including the Atomic Energy Research Establishment (U.K.), IBM (U.S.), the U.S. Depts. of Energy and Agriculture, Boeing Computer Services, COMPAQ Computer Corp., the NASA Langley Research Center, and the Canada Centre for Inland Waters.
A. George and K. Ikramov. On the Properties of Accretive-Dissipative Matrices. Mathematical Notes, 77:767-776, 2005.
A. George and K. Ikramov. Gaussian Elimination for the Inverse of a Diagonally Dominant Matrix is Stable. Math. Comp., 7:653-657, 2003.
A. George, W.-P. Tang, and Ya Dan Wu. Multi-level One-way Dissection Factorization. SIAM J. Matrix Anal., 22:752-771, 2001.
A. George, K. Ikramov, and A. Kucherov. Some Properties of Symmetric Quasidefinite Matrices. SIAM J. Matrix Anal, 21:1318-1323, 2000.
A. George and J. Liu. An Object-Oriented Approach to the Design of a User Interface for a Sparse Matrix Package. SIAM J. Matrix Anal., 20:953-969, 1999.

David R. Cheriton School of Computer Science
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