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J-GLOBAL ID:202002259964550942   Reference number:20A2805891

An Elementary Proof of Convergence of Unshifted QR method Based on Jordan Normal Form

QR法の収束のJordan標準形を出発点とする初等的な証明
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Volume: 63rd (Web)  Page: ROMBUNNO.1C3-1 (WEB ONLY)  Publication year: 2020 
JST Material Number: F0989D  Document type: Proceedings
Article type: 原著論文  Country of issue: Japan (JPN)  Language: JAPANESE (JA)
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Numerical computation  ,  Theory of computation 
Reference (6):
  • J. G. F. Fransis: The QR transformation A Unitary Analogue to the LR Transformation Part 1; The Computer Joural, Vol. 4, No. 3, pp.265-271(1961)
  • J. G. F. Fransis: The QR transformation Part 2; The Computer Joural, Vol. 4, No. 4, pp.332-345(1962)
  • J. H. Wilkinson: The Algebraic Eigenvalue Problem, p.517 周辺, Oxford (1965)
  • B. N. Parlett and W. G.Polle Jr.: A Geometric Theory for the QR, LU, and Power Iterations; SIAM Journal on Numerical Analysis, Vol. 10, No. 2, pp.389-412 (1973)
  • D. S. Watkins: Understanding the QR Algorithm; SIAM Review, Vol. 24, No. 4, pp.427-440 (1982)
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