John G.F. Francis (born 1934) is an English computer scientist, who in 1961 published the QR algorithm for computing the eigenvalues and eigenvectors of matrices, which has been named as one of the ten most important algorithms of the twentieth century. The algorithm was also proposed independently by Vera N. Kublanovskaya of the Soviet Union in the same year. Born in London in 1934, Francis presently resides in Hove, England.

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  • John G. F. Francis ist ein britischer Informatiker. Francis arbeitete ab 1954 für die National Research Development Corporation (NRDC), einer 1948 gegründeten staatlichen britischen Organisation für Technologietransfer, insbesondere für die während des Zweiten Weltkriegs beim Militär entwickelten Technologien. Er studierte 1955/56 an der Universität Cambridge, machte aber keinen Abschluss, sondern kehrte zur NRDC zurück, wo er Assistent von Christopher Strachey war. Während dieser Zeit entwickelte er den QR-Algorithmus zur Bestimmung von Eigenwerten, veröffentlicht 1961. Unabhängig wurde er etwa gleichzeitig 1961 von der Russin Wera Nikolajewna Kublanowskaja gefunden. Ab 1961 wechselte er von NRDC zur Computerfirma Ferranti. Später war er an der University of Sussex, in der Industrie und bei Beratungsfirmen. Er lebt in Hove bei Brighton. Nach der Entwicklung der QR-Transformation wandte er sich von Numerischer Mathematik ab und befasste sich unter anderen Gebieten der Informatik wie Künstlicher Intelligenz und Computersprachen und arbeitete als Systemingenieur.
  • John G.F. Francis (born 1934) is an English computer scientist, who in 1961 published the QR algorithm for computing the eigenvalues and eigenvectors of matrices, which has been named as one of the ten most important algorithms of the twentieth century. The algorithm was also proposed independently by Vera N. Kublanovskaya of the Soviet Union in the same year. Born in London in 1934, Francis presently resides in Hove, England. In 1954 he worked for the National Research Development Corporation (NRDC). In 1955–1956 he attended Cambridge University, but did not complete a degree. He then returned to the NRDC, where he served as assistant to Christopher Strachey. At this time he devised the QR transformation. In 1961 he left the NRDC to work at Ferranti Corporation, Ltd. and then at the University of Sussex. Subsequently, he had positions with various industrial organizations and consultancies. His interests encompassed artificial intelligence, computer languages, and systems engineering, although he never returned to the field of numerical computation. He is currently retired. By 1962, Francis had left the field of numerical analysis, and subsequently had no idea of the impact his work on the QR algorithm had had, until re-contacted by Gene Golub and Frank Uhlig in 2007. Still in good health, he was the opening speaker at a mini-symposium that marked 50 years of the QR algorithm, held at the 23rd Biennial Conference on Numerical Analysis, in Glasgow, in June 2009.
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  • John G. F. Francis ist ein britischer Informatiker. Francis arbeitete ab 1954 für die National Research Development Corporation (NRDC), einer 1948 gegründeten staatlichen britischen Organisation für Technologietransfer, insbesondere für die während des Zweiten Weltkriegs beim Militär entwickelten Technologien. Er studierte 1955/56 an der Universität Cambridge, machte aber keinen Abschluss, sondern kehrte zur NRDC zurück, wo er Assistent von Christopher Strachey war.
  • John G.F. Francis (born 1934) is an English computer scientist, who in 1961 published the QR algorithm for computing the eigenvalues and eigenvectors of matrices, which has been named as one of the ten most important algorithms of the twentieth century. The algorithm was also proposed independently by Vera N. Kublanovskaya of the Soviet Union in the same year. Born in London in 1934, Francis presently resides in Hove, England.
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