More explicit formulas for the matrix exponential

Linear Algebra and Its Applications

Volumn 262, Issue 1-3, 1997, Pages 131-163

  Cheng, Hon Wing ^a   Yau, Stephen S T ^a  

^a UNIVERSITY OF ILLINOIS AT CHICAGO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040097847     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0024-3795(97)80028-6     Document Type: Article

References (13)

1. T.M. Apostol, Some explicit formulas for the matrix exponential, Amer. Math. Monthly, 1969, pp. 284-292.
2. R. Bellman, Introduction to Matrix Analysis, McGraw-Hill, New York, 1969.
3. D. S. Bernstein and W. So, Some explicit formulas for the matrix exponential, IEEE Trans. Automat. Control 38:1128-1232 (Aug. 1993).
4. H. W. Cheng and S. Yau, Computing the exponential of matrices, in Proceedings of the American Control Conference 1994, Baltimore, 1994, pp. 3543-3547.
5. tA, in Proceedings of International Conference on Control and Information 1995, Hong Kong, 1995, pp. 69-75.
6. G. H. Golub and C. Van Loan, Matrix Computations, 2nd ed., Johns Hopkins U.P., Baltimore, 1989.
7. M. W. Hirsch and S. Smale, Differential Equations, Dynamical Systems and Linear Algebra, Academic, New York, 1974.
8. T. Kailath, Linear Systems, Prentice-Hall, Englewood Cliffs, N.J., 1980.
9. At, Amer. Math. Monthly, 1967, pp. 1200-1204.
10. C. Moler and C. Van Loan, Nineteen dubious ways to compute the exponential of a matrix, SIAM Rev. 20:801-836 (1978).
11. E. J. Putzer, Avoiding the Jordan canonical form in the discussion of linear systems with constant coefficients, Amer. Math. Monthly, 1966, pp. 2-7.
12. P. R. Rider, College Algebra, MacMillan, New York, 1955.
13. R. C. Thompson, Special cases of a matrix exponential formula, Linear Algebra Appl. 283-292 (1988).