journal article
Sep 01, 1995
To the theory of degenerate systems of ordinary differential equations
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References
12
[1]
S. I. Campbell, C. D. Meyer, and N. J. Rose, “Applications of the Drazin inverse to a linear system of differential equations with singular constant coefficients,” SIAM J. Appl. Math.,31, 411–425 (1976).
10.1137/0131035
[2]
Yu. E. Boyarintsev, Regular and Singular Systems of Linear Ordinary Differential Equations [in Russian], Nauka, Novosibirsk (1980).
[3]
R. MÄrz, Canonical Projectors for Linear Differential Algebraic Equations [Preprint / Fachbereich Mathematik, Humbold-Univ.; 93–17], Berlin (1993).
[4]
S. K. Godunov, A. G. Antonov, O. P. Kirilyuk, and V. I. Kostin, Guaranteed Accuracy in Solving Systems of Linear Equations in Euclidean Spaces [in Russian], Nauka, Novosibirsk (1992).
[5]
A. N. Malyshev, Introduction to Computational Linear Algebra [in Russian], Nauka, Novosibirsk (1991).
[6]
A. Ya. Bulgakov and S. K. Godunov, “Circular dichotomy of the spectrum of a matrix,” Sibirsk. Mat. Zh.,29, No. 5, 59–70 (1988).
[7]
V. N. Kublanovskaya, “On one method for solving the complete eigenvalue problem for a degenerate matrix,” Zh. Vychisl. Matematiki i Mat. Fiziki,6, No. 4, 610–620 (1966).
[8]
A. Ruhe, “An algorithm for numerical determination of the structure of a general matrix,” BIT,10, 196–216 (1970).
10.1007/bf01936867
[9]
G. H. Golub and J. Wilkinson, “Ill-conditioned eigensystems and the computation of the Jordan canonical form,” SIAM Rev.,18, 578–619 (1976).
10.1137/1018113
[10]
T. Beelen and P. Van Dooren, “Computational aspects of the Jordan canonical form,” in: Reliable Numerical Computation, Oxford Univ. Press, New York, 1990, pp. 57–72.
10.1093/oso/9780198535645.003.0005
[11]
F. R. Gantmakher, The Theory of Matrices [in Russian], Nauka, Moscow (1988).
[12]
C. L. Lawson and R. J. Hanson, Solving Least Squares Problems [Russian translation], Nauka, Moscow (1986).
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Details
- Published
- Sep 01, 1995
- Vol/Issue
- 36(5)
- Pages
- 1035-1047
- License
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Cite This Article
T. L. Shtykel' (1995). To the theory of degenerate systems of ordinary differential equations. Siberian Mathematical Journal, 36(5), 1035-1047. https://doi.org/10.1007/bf02112544
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