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First order difference system- existence and uniqueness

Author(s): K. N. Murty; P. V. S. Anand; V. Lakshmi Prasannam
Journal: Proc. Amer. Math. Soc. 125 (1997), 3533-3539.
MSC (1991): Primary 39A10, 34B05
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Abstract: In this paper, the general solution of the homogeneous matrix difference system is constructed in terms of two fundamental matrix solutions. The general solution of the inhomogeneous matrix difference system is established by the variation of parameters formula. A unique solution of the two-point boundary value problem associated with the matrix difference system is constructed by applying the QR-algorithm and the Bartels-Stewart algorithm.

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G. W. Stewart and R. H. Bartels, A solution of the equation $AX+XB=C$, Common. ACM 15, 1976, 820-826.

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Additional Information:

K. N. Murty
Affiliation: Department of Applied Mathematics, Andhra University, Visakhapatnam - 530 003, India

V. Lakshmi Prasannam
Affiliation: Department of Mathematics, Post Graduate Centre, P. B. Siddhartha College Of Arts & Science, Vijayawada - 520 010, India

DOI: 10.1090/S0002-9939-97-04250-0
PII: S 0002-9939(97)04250-0
Received by editor(s): April 17, 1996
Communicated by: Hal L. Smith
Copyright of article: Copyright 1997, American Mathematical Society

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