AbstractIn this paper, we present some new estimates on ∑i|λi|2, where λi is an eigenvalue of a matrix, which improve Schur's inequality. By using these estimates, we provide a new criterion for nonsingularity of matrices and a monotonic iterative method for matrix 1-balancing problems
AbstractUpper and lower bounds are derived for the absolute values of the eigenvalues of a matrix po...
AbstractIn this paper, we obtain some estimates for the γ-diagonally and product γ-diagonally domina...
Three algorithms providing rigourous bounds for the eigenvalues of a real matrix are presented. The ...
Abstract The paper mainly discusses the lower bounds for the rank of matrices and sufficient conditi...
AbstractNew inequalities for eigenvalues of matrices are obtained. They make Schur's and Brown's the...
AbstractIf H is a subgroup of the symmetric group of degree n and χ is a complex character on H of d...
AbstractWe provide a method for improving bounds for nonmaximal eigenvalues of positive matrices. A ...
AbstractThe purpose of this paper is to obtain some new lower and upper bounds on κ(A)+κ-1(A), where...
AbstractLet G be a subgroup of Sn. For any n-square complex matrix A = [aij], define dG(A) = Sum;σϵG...
AbstractLet A be a matrix of m rows and n columns whose entries are either zero or one with row i of...
AbstractIf Ak =(akij), k=1,2,…,n, are n×n positive semidefinite matrices and if α:Sn→C, where Sn is ...
This paper is concerned with Cheeger-type bounds for nonmaximal eigenvalues of nonnegative irreducib...
AbstractA matrix inequality is obtained, in an elementary way, for the Schur product of two positive...
AbstractFor the eigenvalues λi of an n × n matrix A the inequality ∑i|λi|2(‖A‖4 − 12‖D‖2)12 is prove...
An n 2 n matrix with nonnegative entries is said to be balanced if for each i = 1; : : : ; n, the s...
AbstractUpper and lower bounds are derived for the absolute values of the eigenvalues of a matrix po...
AbstractIn this paper, we obtain some estimates for the γ-diagonally and product γ-diagonally domina...
Three algorithms providing rigourous bounds for the eigenvalues of a real matrix are presented. The ...
Abstract The paper mainly discusses the lower bounds for the rank of matrices and sufficient conditi...
AbstractNew inequalities for eigenvalues of matrices are obtained. They make Schur's and Brown's the...
AbstractIf H is a subgroup of the symmetric group of degree n and χ is a complex character on H of d...
AbstractWe provide a method for improving bounds for nonmaximal eigenvalues of positive matrices. A ...
AbstractThe purpose of this paper is to obtain some new lower and upper bounds on κ(A)+κ-1(A), where...
AbstractLet G be a subgroup of Sn. For any n-square complex matrix A = [aij], define dG(A) = Sum;σϵG...
AbstractLet A be a matrix of m rows and n columns whose entries are either zero or one with row i of...
AbstractIf Ak =(akij), k=1,2,…,n, are n×n positive semidefinite matrices and if α:Sn→C, where Sn is ...
This paper is concerned with Cheeger-type bounds for nonmaximal eigenvalues of nonnegative irreducib...
AbstractA matrix inequality is obtained, in an elementary way, for the Schur product of two positive...
AbstractFor the eigenvalues λi of an n × n matrix A the inequality ∑i|λi|2(‖A‖4 − 12‖D‖2)12 is prove...
An n 2 n matrix with nonnegative entries is said to be balanced if for each i = 1; : : : ; n, the s...
AbstractUpper and lower bounds are derived for the absolute values of the eigenvalues of a matrix po...
AbstractIn this paper, we obtain some estimates for the γ-diagonally and product γ-diagonally domina...
Three algorithms providing rigourous bounds for the eigenvalues of a real matrix are presented. The ...
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