With C. De Boor

This was a fun paper to work on. Gene had come to the Mathematics Research Center (MRC) in Madison, WI, in May of 1976 (giving Gene the pleasure to write in the paper’s acknowledgements of having been a “guest worker” there) to work with Paul Concus, had recently talked with Victor Barcilon about th...

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Bibliographic Details
Published inMilestones In Matrix Computation: Selected Works Of Gene H. Golub, With Commentaries
Main Authors Chan, Raymond H., Greif, Chen, O’Leary, Dianne P.
Format Book Chapter
LanguageEnglish
Published Oxford Oxford University Press 22.02.2007
Subjects
Applied Mathematics
Madison
paper
Oszillationsmatrizen
Mathematics
problems
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Summary:This was a fun paper to work on. Gene had come to the Mathematics Research Center (MRC) in Madison, WI, in May of 1976 (giving Gene the pleasure to write in the paper’s acknowledgements of having been a “guest worker” there) to work with Paul Concus, had recently talked with Victor Barcilon about the inverse eigenvalue problem for 5-diagonal matrices, and must have given a talk about the general problem, with stress on tridiagonal matrices. I became intrigued since Gene mentioned some unsolved problems and I had recently gone through, jointly with Allan Pinkus, Gantmakher and Krein’s “Oszillationsmatrizen, Oszillationskerne und kleine Schwingungen mechanischer Systeme”, hence felt at home with Jacobi matrices and the power of Sylvester’s determinant identity (which, so Allan had taught me, is the only determinant identity one really needs, other than Cauchy–Binet).
ISBN:0199206813
9780199206810
DOI:10.1093/oso/9780199206810.003.0030