AbstractIt is shown that for any square matrix having a left triangle of zeros, the determinants of its inners are equal to the leading principal minors of its Schur complement. In particular, if the original matrix has Sylvester-type form, then relationship between zero location theorems for polynomials are recovered
AbstractAn inequality is obtained relating the eigenvalue of minimum modulus of an N0-matrix A to th...
AbstractIf A is an M-matrix with the property that some power of A is lower triangular, then A is lo...
AbstractThe concept of rook polynomial of a “chessboard” may be generalized to the rook polynomial o...
AbstractIt is shown how the Schur complement theory can be used for the derivation of criteria for t...
AbstractIn this paper we discuss various properties of matrices of the type S=H−GE−1F, which we call...
AbstractThe notion of skew primeness introduced by Wolovich in the context of polynomial matrices is...
AbstractWe answer a question of Q. Stout about the role of the triangular truncation in constructing...
AbstractRelated to a complex partitioned matrix P, having A, B, C, and D as its consecutive m×m, m×n...
AbstractThis expository paper describes the ways in which a matrix theoretic construct called the Sc...
AbstractPartitioned matrices satisfying certain null space properties for all leading principal subm...
AbstractWe study the well-known Sylvester equation XA − BX = R in the case when A and B are given an...
AbstractThe theory of finite dimensional reproducing kernel Krein spaces is exploited to obtain matr...
AbstractWe give a minimum principle for Schur complements of positive definite Hermitian matrices. F...
AbstractFiedler and Markham define an n × n matrix A to be an Lk-matrix if A has the form A = tI − B...
AbstractIn [Linear Algebra Appl. 177 (1992) 137] Smith proved that if H is a Hermitian semidefinite ...
AbstractAn inequality is obtained relating the eigenvalue of minimum modulus of an N0-matrix A to th...
AbstractIf A is an M-matrix with the property that some power of A is lower triangular, then A is lo...
AbstractThe concept of rook polynomial of a “chessboard” may be generalized to the rook polynomial o...
AbstractIt is shown how the Schur complement theory can be used for the derivation of criteria for t...
AbstractIn this paper we discuss various properties of matrices of the type S=H−GE−1F, which we call...
AbstractThe notion of skew primeness introduced by Wolovich in the context of polynomial matrices is...
AbstractWe answer a question of Q. Stout about the role of the triangular truncation in constructing...
AbstractRelated to a complex partitioned matrix P, having A, B, C, and D as its consecutive m×m, m×n...
AbstractThis expository paper describes the ways in which a matrix theoretic construct called the Sc...
AbstractPartitioned matrices satisfying certain null space properties for all leading principal subm...
AbstractWe study the well-known Sylvester equation XA − BX = R in the case when A and B are given an...
AbstractThe theory of finite dimensional reproducing kernel Krein spaces is exploited to obtain matr...
AbstractWe give a minimum principle for Schur complements of positive definite Hermitian matrices. F...
AbstractFiedler and Markham define an n × n matrix A to be an Lk-matrix if A has the form A = tI − B...
AbstractIn [Linear Algebra Appl. 177 (1992) 137] Smith proved that if H is a Hermitian semidefinite ...
AbstractAn inequality is obtained relating the eigenvalue of minimum modulus of an N0-matrix A to th...
AbstractIf A is an M-matrix with the property that some power of A is lower triangular, then A is lo...
AbstractThe concept of rook polynomial of a “chessboard” may be generalized to the rook polynomial o...
DOI
Add to ORKG