The Gerschgorin Disk Theorem and Regularity Conditions for Complex Interval Matrices
In this paper,the Gerschgorin disk theorem on eigenvalues of complex matrices is generalized to complex interval matrices,in which the Gerschgorin disk regions of eigenvalues of complex interval matrices are presented.It is showed that the Gerschgorin disk regions are contained in the Gerschgorin square regions for eigenvalues of complex interval matrices.Then,two new sufficient conditions for the regularity of complex interval matrices are obtained by applying the Gerschgorin disk theorem of complex interval matrices.
Complex interval matrixEigenvalueGerschgorin disk theoremRegularity