Least squares solutions to AX=B for bisymmetric matrices under a central principal submatrix constraint and the optimal approximation
نویسندگان
چکیده
منابع مشابه
Least-Squares Solutions of the Matrix Equation AXA= B Over Bisymmetric Matrices and its Optimal Approximation
A real n × n symmetric matrix X = (x i j)n×n is called a bisymmetric matrix if x i j = xn+1− j,n+1−i . Based on the projection theorem, the canonical correlation decomposition and the generalized singular value decomposition, a method useful for finding the least-squares solutions of the matrix equation AXA= B over bisymmetric matrices is proposed. The expression of the least-squares solutions ...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2008
ISSN: 0024-3795
DOI: 10.1016/j.laa.2007.08.019