Computation of Generalized Eigenmatrices of a Defective Matrix in Real Number Field with a Fixed System of Linear Equations

In this paper, we compute generalized eigenmatrices of a defective matrix in real number field with a fixed system of linear equations by characteristic polynomial. But the number of unknowns is above the number of the equations in this system of linear equations. We select some equalities in Jordan chains to supplement to the fixed system of linear equations to get the uniqueness of the generalized eigenmatrices.