AbstractSuppose A and B are n × n matrices over the complex field. An inequality is derived that relates the Schur complement of the Hadamard product of A and B and the Hadamard product of Schur complements of A and B for positive definite matrices. Then an analog is given for the class of tridiagonal totally nonnegative matrices. A similar result is given for classes of Z-matrices where the Hadamard product is replaced by the Fan product
AbstractGiven a matrix M=ABCD, the Schur complements of A in M are the matrices of the form S = D − ...
AbstractWe give a minimum principle for Schur complements of positive definite Hermitian matrices. F...
(Communicated by Y. Seo) Abstract. This paper is focused on the applications of Schur complements to...
Let A and B be n-square positive definite matrices. Denote the Hadamard product of A and B by A o B....
Let A and B be n-square positive definite matrices. Denote the Hadamard product of A and B by A o B....
AbstractSuppose A and B are n × n matrices over the complex field. An inequality is derived that rel...
AbstractAn inequality established by G. P. H. Styan (1973, Linear Algebra Appl.,6, 217–240) is on th...
AbstractWe shall obtain some inequalities for Schur complements of products and sums of matrices
On a Schur complement inequality for the Hadamard product of certain totally nonnegative matrice
We investigate the Hadamard product of inverse M-matrices and present two classes of inverse M-matri...
We investigate the Hadamard product of inverse M-matrices and present two classes of inverse M-matri...
AbstractWe investigate the Hadamard product of inverse M-matrices and present two classes of inverse...
AbstractA matrix inequality is obtained, in an elementary way, for the Schur product of two positive...
This note gives perturbation bounds for the Schur complement of a positive definite matrix in a posi...
A matrix inequality is obtained, in an elementary way, for the Schur product of two positive definit...
AbstractGiven a matrix M=ABCD, the Schur complements of A in M are the matrices of the form S = D − ...
AbstractWe give a minimum principle for Schur complements of positive definite Hermitian matrices. F...
(Communicated by Y. Seo) Abstract. This paper is focused on the applications of Schur complements to...
Let A and B be n-square positive definite matrices. Denote the Hadamard product of A and B by A o B....
Let A and B be n-square positive definite matrices. Denote the Hadamard product of A and B by A o B....
AbstractSuppose A and B are n × n matrices over the complex field. An inequality is derived that rel...
AbstractAn inequality established by G. P. H. Styan (1973, Linear Algebra Appl.,6, 217–240) is on th...
AbstractWe shall obtain some inequalities for Schur complements of products and sums of matrices
On a Schur complement inequality for the Hadamard product of certain totally nonnegative matrice
We investigate the Hadamard product of inverse M-matrices and present two classes of inverse M-matri...
We investigate the Hadamard product of inverse M-matrices and present two classes of inverse M-matri...
AbstractWe investigate the Hadamard product of inverse M-matrices and present two classes of inverse...
AbstractA matrix inequality is obtained, in an elementary way, for the Schur product of two positive...
This note gives perturbation bounds for the Schur complement of a positive definite matrix in a posi...
A matrix inequality is obtained, in an elementary way, for the Schur product of two positive definit...
AbstractGiven a matrix M=ABCD, the Schur complements of A in M are the matrices of the form S = D − ...
AbstractWe give a minimum principle for Schur complements of positive definite Hermitian matrices. F...
(Communicated by Y. Seo) Abstract. This paper is focused on the applications of Schur complements to...