Solution to a Class of Matrix Equations with k-Involutary Symmetrices
In this paper, we investigate the solvability of matrix equations with -involutary symmetric matrix , the general solution of which is obtained when it is solvable. Meantime, the associated optimal approximation problem for some given matrix is also considered under some particular hypothesis.
M. L. Liang and L. F. Dai, "Solution to a Class of Matrix Equations with k-Involutary Symmetrices", Advanced Materials Research, Vols. 457-458, pp. 799-803, 2012