IJPAM: Volume 52, No. 5 (2009)
APPROXIMATION SOLUTION OF
MATRIX EQUATION





Xinjiang Normal University
Urumqi, Xinjiang, 830054, P.R. CHINA



Xinjiang University
Urumqi, Xinjiang, 830046, P.R. CHINA
e-mail: znz01@xju.edu.cn
Abstract.This paper is mainly concerned with solving the following two problems:
Problem I. Given real matrices
and
, find
such that
Problem II. Given an real matrix
, find an
matrix
such that
, where
is a Frobenius norm, and
is the solution set of Problem I.
The necessary
and sufficient conditions for the existence and expressions of the
general solutions of Problem I are given. The explicit solution, a
numerical algorithm and a numerical example to Problem
II are provided.
Received: May 15, 2008
AMS Subject Classification: 15A52
Key Words and Phrases: anti-bisymmetric matrices, anti-symmetric matrix, Frobenius norm, optimal approximation
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2009
Volume: 52
Issue: 5