REFERENCES
- Th. Beelen and P. Van Dooren, An improved algorithm for the computation of Kronecker's canonical form for a singular pencil, Linear Algebra Appl. 105 (1988) 9–65.
- R. Benedetti and P. Cragnolini, Versal families of matrices with respect to unitary conjugation, Ada Math. 54 (1984) 314–335.
- R. Bhatia and P. Rosenthal, How and why to solve the operator equation AX — XB = Y, Bull. London Math. Soc. 29 (1997) 1–21.
- Richard Brualdi, The Jordan Canonical Form: an Old Proof, Amer. Math. Monthly 94 (1987) 257–267.
- J. W. Demmel, Applied Numerical Linear Algebra, Society for Industrial and Applied Mathematics, Philadelphia, 1997.
- F. R. Gantmacher, The Theory of Matrices, Vols. 1, 2, Chelsea, New York, 1959.
- G. H. Golub and C. F. Van Loan, Matrix Computations, 2nd edition, The Johns Hopkins University Press, Baltimore and London, 1989.
- G. H. Golub and J. H. Wilkinson, Ill-conditioned eigensystems and the computation of the Jordan canonical form, SIAM Review 18 (1976) 578–619.
- D. Hershkowitz and H. Schneider, On the existence of matrices with prescribed height and level characteristics, Israel J. Math. 75 (1991) 105–117.
- D. Hershkowitz and H. Schneider, Height bases, level bases, and the equality of the height and the level characteristics of an M-matrix, Linear and Multilinear Algebra, 25 (1989) 149–171.
- R. Horn and C, Johnson, Matrix Analysis, Cambridge U. P., Cambridge, 1985.
- R. Horn and C. Johnson, Topics in Matrix Analysis, Cambridge U. P., Cambridge, 1990.
- V. N. Kublanovskaya, On a method of solving the complete eigenvalue problem for a degenerate matrix, U.S.S.R. Comput. Math. and Math. Physics 6 (1966) 1–14.
- D. E. Littlewood, On unitary equivalence, J. London Math. Soc. 28 (1953) 314–322.
- C. C. MacDuffee, The Theory of Matrices, Springer Verlag, Berlin, 1933.
- A. I. Mal'cev, Foundations of Linear Algebra, W. H. Freeman and Company, San Francisco and London, 1963.
- D. J. Richman and H. Schneider, On the singular graph and the Weyr characteristic of an M-matrix, Aequationes Math. 17 (1978) 208–234.
- A. Ruhe, An algorithm for numerical determination of the structure of a general matrix, BIT 10 (1970) 196–216.
- H. Schneider, The influence of the marked reduced graph of a nonnegative matrix on the Jordan form and related properties: A survey, Linear Algebra Appl. 84 (1986) 161–189.
- I. Schur, Über die charakteristischen Wurzeln einer linearen Substitution mit einer Anwendung auf die Theorie der Integralgleichungen, Math. Ann. 66 (1909) 488–510.
- V. V. Sergeichuk, Classification of linear operators in a finite-dimensional unitary space, Functional Anal. Appl. 18 (1984) 224–230.
- H. Shapiro, A survey of canonical forms and invariants for unitary similarity, Linear Algebra Appl. 147 (1991) 101–167.
- J. J. Sylvester, Sur l'equation en matrices px = xq, C. R. Acad. Sci. Paris 99 (1884) 67–71 and 115–116.
- H. W. Turnbull and A. C. Aitken, An Introduction to the theory of Canonical Matrices, Blackie & Son Limited, London and Glasgow, 1932.
- P. Van Dooren, The Generalized Eigenstructure Problem; Applications in Linear System Theory, Ph.D. Thesis, Katholieke Universiteit Leuven, May, 1979.
- P. Van Dooren, The computation of Kronecker's canonical form of a singular pencil, Linear Algebra Appl. 27 (1979) 103–140.
- P. Van Dooren, The generalized eigenstructure problem in linear system theory, IEEE Trans. Automatic Control 26 (1981) 111–129.
- E. Weyr, Zur Theorie der bilinearen Formen, Monatsh. Math, und Physik 1 (1890) 163–236.
- E. Weyr, Répartition des matrices en espèces et formation de toutes les espèces, C. R. Acad. Sci. Paris 100 (1885) 966–969.