ITERATIVE SOLUTIONS TO THE MATRIX EQUATION  WITH SOME
ORTHOGONAL CONSTRAINTS

Yuyang Qiu (P. R. China)

Received January 21, 2008

References:

[1] L. E. Andersson and T. Elfving, A constrained procrustes problem, SIAM J. Matrix Anal. Appl. 18(1) (1997), 124-139. [2] G. H. Golub and C. F. Van Loan, Matrix Computations, Johns Hopkins University Press, 3rd edition, Baltimore, Maryland, 1996. [3] N. J. Higham, The symmetric procrustes problem, BIT 28 (1988), 133-143. [4] C. J. Meng and X. Y. Hu, The inverse problem of symmetric orthogonal matrices and its optimal approximation, Math. Numer. Sin. 28(3) (2006), 269-280. [5] Z. Y. Peng and X. Y. Hu, The reflexive and antireflexive solutions of the matrix equation Linear Algebra Appl. 375 (2003), 147-155. [6] P. H. Schönemann, A generalized solution of the orthogonal procrustes problem, Psychometrika 31(1) (1966), 1-10. [7] F. Uhlig, On the matrix equation with applications to the generators of a controllability matrix, Linear Algebra Appl. 85 (1987), 203-209. [8] L. Wu, The repositive definite solutions to the matrix inverse problem Linear Algebra Appl. 174 (1992), 145-151.

Keywords and phrases: iterative algorithms, orthogonal constraints, singular value decomposition, coefficient matrix product.