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.