期刊
APPLIED MATHEMATICS AND COMPUTATION
卷 186, 期 1, 页码 844-859出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2006.08.063
关键词
controllability problem; matrix equation; an unreduced Hessenberg matrix
In this paper, a simple method for generating a nonsingular solution of the matrix equation XH = HX where the matrix H is in unreduced lower Hessenberg form is proposed. The controllability of the matrix pair (H, h) where b is the last column vector of solution matrix X is also addressed. In addition, a nonsingular symmetric solution of the matrix equation XH = (HX)-X-T is obtained and the matrix pair (H, b) where b is the last row of the solution matrix of this equation is shown to be controllable. (C) 2006 Elsevier Inc. All rights reserved.
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