Procrustes problems for (P, Q, η)-reflexive matrices

This paper characterizes (P,Q,@h)-reflexive matrices, showing that a (P,Q,@h)-reflexive matrix can be represented in terms of k matrices A"a","b@?C^m^"^a^x^n^"^b, where a+b=@h(modk), m"a and n"b are dimensions of the @t^a- and @t^b-eigenspaces of P and Q, respectively. A general solution of Procrustes problems of (P,Q,@h)-reflexive matrices is presented in terms of lower-order matrices A"1","@h"-"1,...,A"@h"-"1","1,A"@h","k,A"@h"+"1","k"-"1,...,A"k","@h under the condition that P and Q are unitary.