On the trace bound of a matrix product

IEEE Transactions on Automatic Control

Volumn 41, Issue 12, 1996, Pages 1799-1802

  Park, PooGyeon ^a  

^a Pohang University of Science and Technology (POSTECH)   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY VALUE PROBLEMS; MATHEMATICAL MODELS; PROBLEM SOLVING; THEOREM PROVING;

MATRIX PRODUCT; SPARSE MATRIX; TRACE BOUND;

MATRIX ALGEBRA;

EID: 0030394202     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/9.545717     Document Type: Article

References (7)

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2. S. W. Kim, P. Park, and W. Kwon, "Lower bounds for the trace of the solution of the discrete algebraic Riccati equation," IEEE Trans. Automat. Contr., vol. 38, pp. 312-314, Feb. 1993.
3. T. Mori, N. Fukura, and M. Kuwahara, "On the discrete Riccati equation," IEEE Trans. Automat. Contr., vol. AC-32, pp. 483-487, Sept. 1987.
4. J. Garloff, "Bounds for the Eiegnvalues of the solution of the discrete Riccati and Lyapunov equations and continuous Lyapunov equations," Int. J. Contr., vol. 43, pp. 423-431, 1986.
5. B. H. Kwon, M. J. Youn, and Z. Bien, "On bounds of the Riccati and Lyapunov equations," IEEE Trans. Automat. Contr., vol. AC-30, pp. 1134-1135, Nov. 1985.
6. T. Mori and I. A. Derese, "A brief summary of the bounds on the solution of algebraic matrix equations," Int. J. Contr., vol. 39, pp. 247-256, 1984.
7. T. Mori, "Comments on 'A matrix inequality associated with bounds on solutions of algebraic Riccati and Lyapunov equation,'" IEEE Trans. Automat. Contr., vol. AC-29, p. 1088, Nov. 1988.