This article presents a matrix identity on the Schur complement along with various applications. In particular, it gives a simple and transparent proof for the Crabtree–Haynsworth quotient formula for the Schur complement. Although its proof is straightforward, the identity yields a number of important results that appear to be unrelate
Abstract. The purpose of this paper is to revisit Hua’s matrix equality (and inequality) through the...
AbstractA simple direct proof is given of a fundamental identity involving Schur functions which con...
AbstractIn this paper we discuss various properties of matrices of the type S=H−GE−1F, which we call...
AbstractGiven a matrix M=ABCD, the Schur complements of A in M are the matrices of the form S = D − ...
AbstractThis expository paper describes the ways in which a matrix theoretic construct called the Sc...
AbstractIn this paper, we obtain some estimates for the γ-diagonally and product γ-diagonally domina...
AbstractFor square matrices, the relationship is discussed between the notion of Schur complement an...
AbstractThis expository paper describes the ways in which a matrix theoretic construct called the Sc...
AbstractSuppose A and B are n × n matrices over the complex field. An inequality is derived that rel...
AbstractIt is well known that if M is a nonnegative nonsingular inverse M-matrix and if A is a nonsi...
AbstractIn this paper we discuss various properties of matrices of the type S=H−GE−1F, which we call...
AbstractLet A be an n×n complex matrix. For a suitable subspace M of Cn the Schur compression A M an...
Schur complements of generally diagonally dominant matrices and a criterion for irreducibility of ma...
AbstractIn this paper, we obtain a theorem on the distribution of eigenvalues for Schur complements ...
It is known that the Schur complements of H-matrices and doubly diagonally dominant matrices are clo...
Abstract. The purpose of this paper is to revisit Hua’s matrix equality (and inequality) through the...
AbstractA simple direct proof is given of a fundamental identity involving Schur functions which con...
AbstractIn this paper we discuss various properties of matrices of the type S=H−GE−1F, which we call...
AbstractGiven a matrix M=ABCD, the Schur complements of A in M are the matrices of the form S = D − ...
AbstractThis expository paper describes the ways in which a matrix theoretic construct called the Sc...
AbstractIn this paper, we obtain some estimates for the γ-diagonally and product γ-diagonally domina...
AbstractFor square matrices, the relationship is discussed between the notion of Schur complement an...
AbstractThis expository paper describes the ways in which a matrix theoretic construct called the Sc...
AbstractSuppose A and B are n × n matrices over the complex field. An inequality is derived that rel...
AbstractIt is well known that if M is a nonnegative nonsingular inverse M-matrix and if A is a nonsi...
AbstractIn this paper we discuss various properties of matrices of the type S=H−GE−1F, which we call...
AbstractLet A be an n×n complex matrix. For a suitable subspace M of Cn the Schur compression A M an...
Schur complements of generally diagonally dominant matrices and a criterion for irreducibility of ma...
AbstractIn this paper, we obtain a theorem on the distribution of eigenvalues for Schur complements ...
It is known that the Schur complements of H-matrices and doubly diagonally dominant matrices are clo...
Abstract. The purpose of this paper is to revisit Hua’s matrix equality (and inequality) through the...
AbstractA simple direct proof is given of a fundamental identity involving Schur functions which con...
AbstractIn this paper we discuss various properties of matrices of the type S=H−GE−1F, which we call...
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