AbstractThe paper presents a simple characterization of a real H-matrix and two-sided componentwise bounds for its inverse in terms of the comparison matrix and the so-called Z- and positive parts. These bounds, improving the well-known Ostrowsky result, are also extended to a larger class of matrices
AbstractIf H(A) = (A + A∗)/2 and c is real, it is determined when cH(A-1 − H(A)-1 is positive defini...
AbstractWe give a sharp lower bound for the smallest real eigenvalue q(A∘A−1 of the Hadamard product...
AbstractIn this paper, we establish some determinantal inequalities concerning M-matrices and invers...
AbstractAn old theorem of Ostrowski states that the absolute value of the inverse of an H-matrix is,...
AbstractThe paper presents a simple characterization of a real H-matrix and two-sided componentwise ...
AbstractThe paper presents new two-sided bounds for the infinity norm of the inverse for the so-call...
AbstractAn old theorem of Ostrowski states that the absolute value of the inverse of an H-matrix is,...
AbstractMatrix convexity of the inverse function is an old result. Here we give two reverse forms up...
AbstractThe problem of finding bounds for the elements of the inverse of a matrix satisfying various...
AbstractIt is well known that if M is a nonnegative nonsingular inverse M-matrix and if A is a nonsi...
AbstractFor a matrix decomposable as A=sI−B, where B⩾0, it is well known that A−1⩾0 if and only if t...
AbstractThis is an update of the 1981 survey by the first author. In the meantime, a considerable am...
AbstractThis paper establishes a characterization of real H-matrices with positive diagonals in term...
AbstractWe show that a nonsingular p-by-p matrix A is an inverse M-matrix if and only if QTAQ + D is...
AbstractThe paper presents new two-sided bounds for the infinity norm of the inverse for the so-call...
AbstractIf H(A) = (A + A∗)/2 and c is real, it is determined when cH(A-1 − H(A)-1 is positive defini...
AbstractWe give a sharp lower bound for the smallest real eigenvalue q(A∘A−1 of the Hadamard product...
AbstractIn this paper, we establish some determinantal inequalities concerning M-matrices and invers...
AbstractAn old theorem of Ostrowski states that the absolute value of the inverse of an H-matrix is,...
AbstractThe paper presents a simple characterization of a real H-matrix and two-sided componentwise ...
AbstractThe paper presents new two-sided bounds for the infinity norm of the inverse for the so-call...
AbstractAn old theorem of Ostrowski states that the absolute value of the inverse of an H-matrix is,...
AbstractMatrix convexity of the inverse function is an old result. Here we give two reverse forms up...
AbstractThe problem of finding bounds for the elements of the inverse of a matrix satisfying various...
AbstractIt is well known that if M is a nonnegative nonsingular inverse M-matrix and if A is a nonsi...
AbstractFor a matrix decomposable as A=sI−B, where B⩾0, it is well known that A−1⩾0 if and only if t...
AbstractThis is an update of the 1981 survey by the first author. In the meantime, a considerable am...
AbstractThis paper establishes a characterization of real H-matrices with positive diagonals in term...
AbstractWe show that a nonsingular p-by-p matrix A is an inverse M-matrix if and only if QTAQ + D is...
AbstractThe paper presents new two-sided bounds for the infinity norm of the inverse for the so-call...
AbstractIf H(A) = (A + A∗)/2 and c is real, it is determined when cH(A-1 − H(A)-1 is positive defini...
AbstractWe give a sharp lower bound for the smallest real eigenvalue q(A∘A−1 of the Hadamard product...
AbstractIn this paper, we establish some determinantal inequalities concerning M-matrices and invers...
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