Chebyshev Semi-Iterative Methods, Successive Over-Relaxation Iterative Methods, And Second-Order Richardson Iterative Methods, Parts I And Ii (With R. S. Varga)
I was invited, in 1960 I believe, by Abe Taub at the University of Illinois, to a colloquium lecture there, and before the lecture, I was asked by Professor Taub what my current research was. I mentioned two areas, one being the use of Chebyshev polynomials in the theory of iterative methods in line...
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Published in | Milestones In Matrix Computation: Selected Works Of Gene H. Golub, With Commentaries |
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Main Authors | , , |
Format | Book Chapter |
Language | English |
Published |
Oxford
Oxford University Press
22.02.2007
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Subjects | |
Online Access | Get full text |
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Summary: | I was invited, in 1960 I believe, by Abe Taub at the University of Illinois, to a colloquium lecture there, and before the lecture, I was asked by Professor Taub what my current research was. I mentioned two areas, one being the use of Chebyshev polynomials in the theory of iterative methods in linear algebra. Taub mentioned then that he had a student (who turned out to be Gene Golub) working on similar ideas. What I learned later was that Taub told Gene that “if Varga publishes first, you will have to write a new thesis”. During that visit, I later met Gene, who was visibly shaken about all of this, and I suggested that we discuss this further over coffee. There was indeed overlap in our results, but Gene did things that I hadn’t done, and conversely. We then agreed to write a paper, in two parts, which appeared in Numerical Mathematics in 1961. This paper was surely better than either of us could have done alone, and it was quite a successful research paper, which was highly referenced. Adding to all of this is that Gene has often said that “Varga saved my life,” meaning that he didn’t have to write a second thesis! I have often been asked why Gene and I didn’t write more papers together. Sincerely, it would have been nice, but I wandered, as time went by, more into approximation theory and complex function theory, where my PhD thesis arose, and Gene had chosen other interesting areas in which to work. He had been a stellar figure in the area of numerical analysis, and this field owes him much for his deep and useful research results. |
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ISBN: | 0199206813 9780199206810 |
DOI: | 10.1093/oso/9780199206810.003.0006 |