Abstract: By the real representation of the quaternionic matrix,
an iterative method for quaternionic linear equations Ax = b is
proposed. Then the convergence conditions are obtained. At last, a
numerical example is given to illustrate the efficiency of this method.
Abstract: The real representation of the quaternionic matrix is
definited and studied. The relations between the positive (semi)define
quaternionic matrix and its real representation matrix are presented.
By means of the real representation, the relation between the positive
(semi)definite solutions of quaternionic matrix equations and those of
corresponding real matrix equations is established.