AbstractA necessary condition for Johnson's lower bound for the smallest singular value to hold with equality is derived. In addition, the notions of (i) inverse radial matrix, and also (ii) unitary similarity transformation to a maximally diagonally dominant matrix, are discussed
AbstractFor a complex matrix A, there are many inequalities related to its eigenvalues, diagonal ele...
We give upper and lower bounds on the determinant of a small perturbation of the identity matrix. Th...
AbstractLet A be a real strictly diagonally dominant M-matrix. We give a sharp upper bound for ‖A-1‖...
AbstractA necessary condition for Johnson's lower bound for the smallest singular value to hold with...
AbstractFor a matrix A which is diagonally dominant both by rows and by columns, we give bounds for ...
AbstractAn upper bound for ‖A−1‖∞ and a lower bound for the smallest singular value, for the weakly ...
AbstractFor an n-by-m matrix A = (aij), n ⩽ m, we show that the smallest singular value of A is boun...
AbstractA lower bound for the smallest singular value of Aϵnxn is given in terms of the determinant ...
AbstractFour essentially different interpretations of a lower bound for linear operators are shown t...
AbstractFor a matrix A which is diagonally dominant both by rows and by columns, we give bounds for ...
AbstractA new O(n2) algorithm for estimating the least singular value of a matrix is presented. It i...
A matrix lower bound is defined that generalizes ideas apparently due to S. Banach and J. von Neuma...
A matrix lower bound is defined that generalizes ideas apparently due to S. Banach and J. von Neuman...
AbstractIn the first part, we obtain two easily calculable lower bounds for ‖A-1‖, where ‖·‖ is an a...
AbstractWe give a short proof of a lower bound for the smallest singular value mentioned by Hong and...
AbstractFor a complex matrix A, there are many inequalities related to its eigenvalues, diagonal ele...
We give upper and lower bounds on the determinant of a small perturbation of the identity matrix. Th...
AbstractLet A be a real strictly diagonally dominant M-matrix. We give a sharp upper bound for ‖A-1‖...
AbstractA necessary condition for Johnson's lower bound for the smallest singular value to hold with...
AbstractFor a matrix A which is diagonally dominant both by rows and by columns, we give bounds for ...
AbstractAn upper bound for ‖A−1‖∞ and a lower bound for the smallest singular value, for the weakly ...
AbstractFor an n-by-m matrix A = (aij), n ⩽ m, we show that the smallest singular value of A is boun...
AbstractA lower bound for the smallest singular value of Aϵnxn is given in terms of the determinant ...
AbstractFour essentially different interpretations of a lower bound for linear operators are shown t...
AbstractFor a matrix A which is diagonally dominant both by rows and by columns, we give bounds for ...
AbstractA new O(n2) algorithm for estimating the least singular value of a matrix is presented. It i...
A matrix lower bound is defined that generalizes ideas apparently due to S. Banach and J. von Neuma...
A matrix lower bound is defined that generalizes ideas apparently due to S. Banach and J. von Neuman...
AbstractIn the first part, we obtain two easily calculable lower bounds for ‖A-1‖, where ‖·‖ is an a...
AbstractWe give a short proof of a lower bound for the smallest singular value mentioned by Hong and...
AbstractFor a complex matrix A, there are many inequalities related to its eigenvalues, diagonal ele...
We give upper and lower bounds on the determinant of a small perturbation of the identity matrix. Th...
AbstractLet A be a real strictly diagonally dominant M-matrix. We give a sharp upper bound for ‖A-1‖...
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