Zhongyang Yuan, Yuyang Qiu, "A Simple Method to Balanced Procrustes Problem with One Special Constraint," WSEAS Transactions on Mathematics, vol. 12, pp. -, 2013, DOI:
Zhongyang Yuan, Yuyang Qiu. A Simple Method to Balanced Procrustes Problem with One Special Constraint.
WSEAS Transactions on Mathematics. 2013;12:-.
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 12, 2013
A Simple Method to Balanced Procrustes Problem with One Special Constraint
Authors: ,
Abstract: The balanced Procrustes problem with X^T = sX and X X^T = aX +bIn constraints are considered. By one time eigenvalue decomposition or real Schur decomposition of the matrix product generated by the matrices A and B, the constrained solutions are constructed simply. Similar strategy is applied to the problem with the corresponding P-commuting constraints with given symmetric matrix P. And the methods are also suitable for the least squares problem of the extended equations AX = B, XC = D with the same constraints. Numerical examples are presented to show the efficiency of the proposed methods.
Keywords:
Balanced Procrustes problem, Eigenvalue decomposition, Real Schur decomposition, Matrix product, Constrained solutions, Numerical examples
Pages: - WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 12, 2013DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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