Title :
Anti-symmetric solutions of a class of linear matrix equations
Author_Institution :
Comput. Dept., Beihua Univ., Jilin, China
Abstract :
In this paper we presented an iterative method to find the anti-symmetric solutions of the matrix equations. A1X + XB1 = C1, A2X + XB2 = C2. If a special initial matrix is chosen, the anti-symmetric solution with least norm can be obtained. Finally an example is given to illustrate the efficiency of this iterative method.
Keywords :
iterative methods; least squares approximations; linear matrix inequalities; antisymmetric solutions; initial matrix; iterative method; least norm; linear matrix equations; Computers; Convex functions; Educational institutions; Equations; Iterative methods; Matrix decomposition; Symmetric matrices; Anti-symmetric solution; Iterative method; Least-squares solution; Matrix equations;
Conference_Titel :
Transportation, Mechanical, and Electrical Engineering (TMEE), 2011 International Conference on
Conference_Location :
Changchun
Print_ISBN :
978-1-4577-1700-0
DOI :
10.1109/TMEE.2011.6199538
