In:
Journal of Applied Mathematics, Hindawi Limited, Vol. 2013 ( 2013), p. 1-14
Abstract:
We propose an iterative algorithm for solving the reflexive solution of the quaternion matrix equation A X B + C X H D = F . When the matrix equation is consistent over reflexive matrix X , a reflexive solution can be obtained within finite iteration steps in the absence of roundoff errors. By the proposed iterative algorithm, the least Frobenius norm reflexive solution of the matrix equation can be derived when an appropriate initial iterative matrix is chosen. Furthermore, the optimal approximate reflexive solution to a given reflexive matrix X 0 can be derived by finding the least Frobenius norm reflexive solution of a new corresponding quaternion matrix equation. Finally, two numerical examples are given to illustrate the efficiency of the proposed methods.
Type of Medium:
Online Resource
ISSN:
1110-757X
,
1687-0042
Language:
English
Publisher:
Hindawi Limited
Publication Date:
2013
detail.hit.zdb_id:
2578385-3
SSG:
17,1
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