The concept of permutedly similar α lower(upper) semi strongly diagonally dominant matrix is introduced,and the relation between the matrices and generalized strictly α -diagonally dominant matrices as well as H matrices are studied.

In this paper,using some associated properties of M matrix and dominant diagonal matrix,we replenish the result of reference and give a improved Gerschgrin s theorem on estimation of generalized eigenvalues.

In this paper, some new judging criterions for M-matrices have been presented by using the double diagonally dominant matrix and generalized the concluded results in [1]~[8].

In this paper,the estimates of upper bounds for the spectral radius of the iterative matrix M~(-1)N for some generalized diagonally dominant matrix M are presented.

A new digital watermarking algorithm based on diagonally dominant matrix is proposed.

The conditions of diagonal dominance matrix under similarity transformation are studied in this paper,and an example of application is given A necessary and sufficent condition under general similarity transformation is given in theorem 1 ,Theorem 2 and Theorem 3 are for diagonal similarity transformation.

Another concept of generalized diagonal dominance for nonlinear functions (i.

In this paper, according to the concepts of block diagonal dominance and generalize diagonal dominance, a new simple criterion for nonsingular block generalize diagonal dominant matrices (i.

A digital watermarking algorithm is proposed based on diagonally dominant matrixes in the frequency domain to complete digital products copyright certification.