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Matrix inequalities applicable to estimating solution sizes of Riccati and Lyapunov equations

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1 Author(s)
Komaroff, N. ; NK Consultants, Seal Beach, CA, USA

Simultaneous summation upper bounds for the eigenvalues of the matrix product XY are presented, where X, Y ε Rnxn, with Y symmetric and X arbitrary. These bounds are a generalization of tr (XY) bounds; the requirements on Y are relaxed, and the bound for tr (XY) is stronger than those shown in the literature

Published in:

Automatic Control, IEEE Transactions on  (Volume:34 ,  Issue: 1 )

Date of Publication:

Jan 1989

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