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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Advances in Linear Algebra & Matrix Theo... > Vol.3 No.4, December 2013

On Least Squares Solutions of Matrix Equation MZN=S ()

Yuping Zhang, Changzhou Dong, Jianmin Song

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

DOI: 10.4236/alamt.2013.34009 PDF HTML XML 3,506 Downloads 7,430 Views

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

Share and Cite:

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.

Conflicts of Interest

The authors declare no conflicts of interest.

References

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