Open AccessLeast-Squares Solutions of the Matrix EquationsA X B + C Y D = H A X B + C X D = <…
Author(s) -
Yongxin Yuan
Publication year - 2014
Publication title -
journal of applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.307
H-Index - 43
eISSN - 1687-0042
pISSN - 1110-757X
DOI - 10.1155/2014/709356
Subject(s) - algorithm , artificial intelligence , mathematics , computer science
The least-squares solutions of the matrix equations AXB+CYD=Hand AXB+CXD=H for symmetric arrowhead matrices are discussed. By using the Kronecker product and stretching function of matrices, the explicit representations of the general solution are given. Also, it is shown that the best approximation solution is unique and an explicit expression of the solution is derived
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