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THE MODIFIED LR algorithm for complex Hessenberg matrices. (English) Zbl 0184.37505

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[1] Francis, J. G. F.: TheQR transformation – a unitary analogue to theLR transformation. Computer Journal4, 265–271 and 332–345 (1961/62). · Zbl 0104.34304
[2] Parlett, B. N.: The development and use of methods ofLR type. SIAM Review6, 275–295 (1964). · Zbl 0242.65039
[3] Rutishauser, H.: Solution of eigenvalue problems with theLR transformation. NBS Applied Math. Series, No. 49 (1958). · Zbl 0123.11303
[4] Wilkinson, J. H.: The algebraic eigenvalue problem. London: Oxford University Press 1965. · Zbl 0258.65037
[5] —-: Convergence of theLR, QR and related algorithms. Computer Journal8, 77–84 (1965). · Zbl 0139.11303
[6] Parlett, B. N., andC. Reinsch: Balancing a matrix for calculation of eigenvalues and eigenvectors. To appear in this series. · Zbl 0184.37703
[7] Martin, R. S., andJ. H. Wilkinson: Similarity reduction of a general matrix to Hessenberg form. Num. Math.12, 349–368 (1968). · Zbl 0184.37504
[8] – – TheQR algorithm of J. Francis for real non-hermitian matrices. To appear in this series.
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