The numerical Range of Matrix Polynomials
The Numerically Stable Reconstruction of Jacobi Matrices from Spectral Data.
The optimal perturbation bounds for the weighted Moore-Penrose inverse.
The order of a zero of a Wronskian and the theory of linear dependence
The -matrix completion problem.
The permanent of the Laplacian matrix of a bipartite graph
The Perturbation Bounds for Eigenspaces of a Definite Matrix-Pair
The principle of truncations in applied probability
The -matrix completion problem.
The q-numerical range of tridiagonal matrices.
The quaternion matrix-valued Young's inequality.
The quaternionic determinant.
The rank of the difference of similar matrices
The Rate of Convergence of an Approximate Matrix Factorization Semi-Direct Method.
The rational canonical form of a matrix.
The Rational Invariants of the Tame Quivers.
The real symmetric matrices of odd order with a P-set of maximum size
Suppose that is a real symmetric matrix of order . Denote by the nullity of . For a nonempty subset of , let be the principal submatrix of obtained from by deleting the rows and columns indexed by . When , we call a P-set of . It is known that every P-set of contains at most elements. The graphs of even order for which one can find a matrix attaining this bound are now completely characterized. However, the odd case turned out to be more difficult to tackle. As a first step...
The reciprocal super Catalan matrix
The reciprocal super Catalan matrix has entries [...] . Explicit formulæ for its LU-decomposition, the LU-decomposition of its inverse, and some related matrices are obtained. For all results, q-analogues are also presented.
The Redheffer matrix of a partially ordered set.
The reflexive re-nonnegative definite solution to a quaternion matrix equation.