A new method for computing the solutions of differential equation systems using generalized inverse via Maple

Applied Mathematics and Computation

Volumn 121, Issue 2-3, 2001, Pages 291-299

  Güyer, Tolga ^a   Kiymaz, Onur ^a   Bilgici, Göksal ^a   Mirasyedioglu, Şeref ^a  

^a GAZI UNIVERSITY   (Turkey)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0343867185     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(00)00003-5     Document Type: Article

References (10)

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2. A. Ben-Israel, T.N.E. Greville, Generalized Inverses, Theory and Applications, Wiley, New York, 1974.
3. Decell H.P. An application of the Cayley-Hamilton theorem to generalized matrix inversion. SIAM Rev. 7:1965;526-528.
4. Fragulis G., Mertzios B.G., Vardulakis A.I.G. Computation of the inverse of a polynomial matrix and evaluation of its Laurent expansion. Int. J. Control. 53:1991;431-443.
5. Karampetakis N.P. Computation of the generalized inverse of a polynomial matrix and applications. Linear Algebra Appl. 252:1997;35-60.
6. Lovass-Nagy V., Miller R.J., Powers D.L. An introduction to the simplest matrix-generalized inverse in systems science. IEEE Trans. Circuit Syst. 9:1978;766-771.
7. Mertzios B.G., Lewis F.L. Fundamental matrix of singular systems. Circuits Syst. Signal Process. 8:1989;341-355.
8. R. Penrose, A generalized inverse for matrices, in: Proc. Cambridge Philos. Soc. 51 (1955) 406-413.
9. C.R. Rao, S.K. Mitra, Generalized Inverse of Matrices and its Applications, Wiley, New York, 1971.
10. M. Rama Mohana Rao, Ordinary Differential Equations, Pitman, London, 1981, p. 3.