Abstract. The purpose of this paper is to revisit Hua’s matrix equality (and inequality) through the Schur complement. We present Hua’s original proof and two new proofs with some extensions of Hua’s matrix equality and inequalities. The new proofs use a result concerning Schur complements and a generalization of Sylvester’s law of inertia, each of which is useful in its own right
The purpose of this paper is to present a matrix inequality on the Kronecker product that unifies th...
AbstractSuppose A and B are n × n matrices over the complex field. An inequality is derived that rel...
AbstractA matrix inequality is obtained, in an elementary way, for the Schur product of two positive...
The purpose of this paper is to revisit Hua\u27s matrix equality (and inequality) through the Schur ...
The purpose of this paper is to revisit Hua\u27s matrix equality (and inequality) through the Schur ...
AbstractThis expository paper describes the ways in which a matrix theoretic construct called the Sc...
AbstractWe shall obtain some inequalities for Schur complements of products and sums of matrices
Matrix algebra is extensively used in the study of linear models and multivariate analysis (see for ...
AbstractMatrix algebra is extensively used in the study of linear models and multivariate analysis (...
AbstractThe purpose of this paper is to present a matrix inequality on the Kronecker product that un...
AbstractGiven a matrix M=ABCD, the Schur complements of A in M are the matrices of the form S = D − ...
AbstractIn this paper we discuss various properties of matrices of the type S=H−GE−1F, which we call...
AbstractThis expository paper describes the ways in which a matrix theoretic construct called the Sc...
Schur complements of generally diagonally dominant matrices and a criterion for irreducibility of ma...
The purpose of this paper is to present a matrix inequality on the Kronecker product that unifies th...
The purpose of this paper is to present a matrix inequality on the Kronecker product that unifies th...
AbstractSuppose A and B are n × n matrices over the complex field. An inequality is derived that rel...
AbstractA matrix inequality is obtained, in an elementary way, for the Schur product of two positive...
The purpose of this paper is to revisit Hua\u27s matrix equality (and inequality) through the Schur ...
The purpose of this paper is to revisit Hua\u27s matrix equality (and inequality) through the Schur ...
AbstractThis expository paper describes the ways in which a matrix theoretic construct called the Sc...
AbstractWe shall obtain some inequalities for Schur complements of products and sums of matrices
Matrix algebra is extensively used in the study of linear models and multivariate analysis (see for ...
AbstractMatrix algebra is extensively used in the study of linear models and multivariate analysis (...
AbstractThe purpose of this paper is to present a matrix inequality on the Kronecker product that un...
AbstractGiven a matrix M=ABCD, the Schur complements of A in M are the matrices of the form S = D − ...
AbstractIn this paper we discuss various properties of matrices of the type S=H−GE−1F, which we call...
AbstractThis expository paper describes the ways in which a matrix theoretic construct called the Sc...
Schur complements of generally diagonally dominant matrices and a criterion for irreducibility of ma...
The purpose of this paper is to present a matrix inequality on the Kronecker product that unifies th...
The purpose of this paper is to present a matrix inequality on the Kronecker product that unifies th...
AbstractSuppose A and B are n × n matrices over the complex field. An inequality is derived that rel...
AbstractA matrix inequality is obtained, in an elementary way, for the Schur product of two positive...
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