Matrix computations (3rd ed.)
A Constrained Procrustes Problem
SIAM Journal on Matrix Analysis and Applications
The Procrustes Problem for Orthogonal Stiefel Matrices
SIAM Journal on Scientific Computing
Hi-index | 7.29 |
The balanced Procrustes problem with some special constraints such as symmetric orthogonality and symmetric idempotence are considered. By one time eigenvalue 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 a given symmetric matrix P. Numerical examples are presented to show the efficiency of the proposed methods.