Golub, Gene; Uhlig, Frank The QR algorithm: 50 years later its genesis by John Francis and Vera Kublanovskaya and subsequent developments. (English) Zbl 1169.65032 IMA J. Numer. Anal. 29, No. 3, 467-485 (2009). Summary: Fifty years after the invention of the QR algorithm by John G. F. Francis [Comput. J. 4, 265–271, 332–345 (1961; Zbl 0104.34304)] and V. N. Kublanovskaya [ibid. 2, 17–19 (1961); translation from Dokl. Akad. Nauk SSSR 136, 26–28 (1961; Zbl 0104.10102)] 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. Cited in 6 Documents MSC: 65F15 Numerical computation of eigenvalues and eigenvectors of matrices 65-03 History of numerical analysis 01A60 History of mathematics in the 20th century Keywords:QR algorithm; numerical algorithm; matrix computation; matrix eigenvalue; matrix eigenvector; Francis implicit Q theorem; John Francis; Vera Kublanovskaya; history of math; history of computation Citations:Zbl 0104.34304; Zbl 0104.10102 Software:POOCLAPACK PDFBibTeX XMLCite \textit{G. Golub} and \textit{F. Uhlig}, IMA J. Numer. Anal. 29, No. 3, 467--485 (2009; Zbl 1169.65032) Full Text: DOI Link