The modifiedLR algorithm for complex Hessenberg matrices
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Editor's note. In this fascicle, prepublication of algorithms from the Linear Algebra Series of the Handbook for Automatic Computation is continued. Algorithms are published inAlgolL 60 reference language as approved by the IFIP. Contributions in this series should be styled after the most recently published ones.
Francis, J. G. F.: TheQR transformation — a unitary analogue to theLR transformation. Computer Journal4, 265–271 and 332–345 (1961/62).
Parlett, B. N.: The development and use of methods ofLR type. SIAM Review6, 275–295 (1964).
Rutishauser, H.: Solution of eigenvalue problems with theLR transformation. NBS Applied Math. Series, No. 49 (1958).
Wilkinson, J. H.: The algebraic eigenvalue problem. London: Oxford University Press 1965.
——: Convergence of theLR, QR and related algorithms. Computer Journal8, 77–84 (1965).
Parlett, B. N., andC. Reinsch: Balancing a matrix for calculation of eigenvalues and eigenvectors. To appear in this series.
Martin, R. S., andJ. H. Wilkinson: Similarity reduction of a general matrix to Hessenberg form. Num. Math.12, 349–368 (1968).
-- -- TheQR algorithm of J. Francis for real non-hermitian matrices. To appear in this series.
- The modifiedLR algorithm for complex Hessenberg matrices
Volume 12, Issue 5 , pp 369-376
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