On Least Squares Solutions of Matrix Equation MZN=S

Yuping Zhang; Changzhou Dong; Jianmin Song

doi:10.4236/alamt.2013.34009

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On Least Squares Solutions of Matrix Equation MZN=S

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DOI: 10.4236/alamt.2013.34009 3,363 Downloads 7,250 Views

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Yuping Zhang, Changzhou Dong, Jianmin Song

Affiliation(s)

School of Mathematics and Science, Shijiazhuang University of Economics, Shijiazhuang, China.

ABSTRACT

Let

be a given Hermitian matrix satisfying

. Using the eigenvalue decomposition of

, we consider the least squares solutions to the matrix equation

, with the constraint

KEYWORDS

Matrix Equation; Eigenvalue Decomposition; Canonical Correlation Decomposition; Reflexive Matrix; Least Squares Solution

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Y. Zhang, C. Dong and J. Song, "On Least Squares Solutions of Matrix Equation MZN=S," Advances in Linear Algebra & Matrix Theory, Vol. 3 No. 4, 2013, pp. 47-49. doi: 10.4236/alamt.2013.34009.

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