AbstractWe compute here the maximum value of the modulus of the determinant of an m×m nonprincipal submatrix of an n×n positive semidefinite matrix A, in terms of m, the eigenvalues of A, and cardinality k of the set of common row and column indices of this submatrix
AbstractLet M be a class of matrices, M∗ a proper subclass of M, and ψ(n) = ψ(n;M,M∗) the largest in...
AbstractFor a polynomial with real roots, inequalities between those roots and the roots of the deri...
AbstractThe positive semidefiniteness of a partitioned matrix is characterized in terms of its subma...
AbstractLet A be an n × n normal matrix, and let 1 ⪕ m < n. Let α,β ϵ Qm,n, the set of increasing in...
AbstractLet A = (aij) be a positive semidefinite matrix with a11 = a22⋯ =ann = 1, and let B = (|aij|...
AbstractSeveral inequalities relating the rank of a positive semidefinite matrix with the ranks of v...
AbstractLet G be a real-valued function defined on the set Pn,F of all positive definite complex her...
AbstractLet N be the set of rows of a positive semidefinite symmetric matrix, and denote by d(X), X⊆...
AbstractThis paper studies bounds for the modulus and the argument of the determinant of certain str...
AbstractGiven an n × n matrix A, define the n! × n! matrix Ã, with rows and columns indexed by the p...
AbstractThe main aim of this note is to suggest a way of selecting the vector aT in a theorem of Bra...
AbstractLet Zm be the ring of integers modulo m. the m-rank of an integer matrix is the largest orde...
AbstractLet S be a Hermitian matrix, and S1 a principal submatrix with r less rows and columns. Let ...
AbstractIn this paper we study the maximal absolute values of determinants and subdeterminants of ±1...
AbstractLet A be an n × n normal matrix, and let 1 ⪕ m < n. Let α,β ϵ Qm,n, the set of increasing in...
AbstractLet M be a class of matrices, M∗ a proper subclass of M, and ψ(n) = ψ(n;M,M∗) the largest in...
AbstractFor a polynomial with real roots, inequalities between those roots and the roots of the deri...
AbstractThe positive semidefiniteness of a partitioned matrix is characterized in terms of its subma...
AbstractLet A be an n × n normal matrix, and let 1 ⪕ m < n. Let α,β ϵ Qm,n, the set of increasing in...
AbstractLet A = (aij) be a positive semidefinite matrix with a11 = a22⋯ =ann = 1, and let B = (|aij|...
AbstractSeveral inequalities relating the rank of a positive semidefinite matrix with the ranks of v...
AbstractLet G be a real-valued function defined on the set Pn,F of all positive definite complex her...
AbstractLet N be the set of rows of a positive semidefinite symmetric matrix, and denote by d(X), X⊆...
AbstractThis paper studies bounds for the modulus and the argument of the determinant of certain str...
AbstractGiven an n × n matrix A, define the n! × n! matrix Ã, with rows and columns indexed by the p...
AbstractThe main aim of this note is to suggest a way of selecting the vector aT in a theorem of Bra...
AbstractLet Zm be the ring of integers modulo m. the m-rank of an integer matrix is the largest orde...
AbstractLet S be a Hermitian matrix, and S1 a principal submatrix with r less rows and columns. Let ...
AbstractIn this paper we study the maximal absolute values of determinants and subdeterminants of ±1...
AbstractLet A be an n × n normal matrix, and let 1 ⪕ m < n. Let α,β ϵ Qm,n, the set of increasing in...
AbstractLet M be a class of matrices, M∗ a proper subclass of M, and ψ(n) = ψ(n;M,M∗) the largest in...
AbstractFor a polynomial with real roots, inequalities between those roots and the roots of the deri...
AbstractThe positive semidefiniteness of a partitioned matrix is characterized in terms of its subma...
DOI
Add to ORKG