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IMA Journal of Numerical Analysis Advance Access originally published online on June 8, 2009
IMA Journal of Numerical Analysis 2009 29(3):467-485; doi:10.1093/imanum/drp012
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© The author 2009. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.

The QR algorithm: 50 years later its genesis by John Francis and Vera Kublanovskaya and subsequent developments

Gene Golub

February 29, 1932 – November 16, 2007, formerly Fletcher Jones Professor of Computer Science, Stanford University

Frank Uhlig{dagger}

Department of Mathematics and Statistics, Auburn University, Auburn, AL 36849-5310

{dagger} Email: uhligfd{at}auburn.edu

Received on 31 January 2009.


  Abstract

Fifty years after the invention of the QR algorithm by John Francis and Vera Kublanovskaya we reconstruct the ideas and the influences that led to its genesis from the originators’ own recollections and their sources and give an account of some of its subsequent developments.

Key Words: QR algorithm; numerical algorithm; matrix computation; matrix eigenvalue; matrix eigenvector; Francis Implicit Q Theorem; John Francis; Vera Kublanovskaya; history of math; history of computation


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