A Simple Proof of the Convexity of the Field of Values Defined by Two Hermitian Forms.
A Spectral Theory for Tensors
In this paper we propose a general spectral theory for tensors. Our proposed factorization decomposes a tensor into a product of orthogonal and scaling tensors. At the same time, our factorization yields an expansion of a tensor as a summation of outer products of lower order tensors. Our proposed factorization shows the relationship between the eigen-objects and the generalised characteristic polynomials. Our framework is based on a consistent multilinear algebra which explains how to generalise...
A sufficient condition for Hurwitz stability of the convex combination of two matrices
Additive rank-one nonincreasing maps on Hermitian matrices over the field .
An algorithm for determining if the inverse of a strictly diagonally dominant Stieltjes matrix is strictly ultrametric.
An inverse eigenvalue problem of Hermite-Hamilton matrices in structural dynamic model updating.
An operator-theoretic approach to truncated moment problems
We survey recent developments in operator theory and moment problems, beginning with the study of quadratic hyponormality for unilateral weighted shifts, its connections with truncated Hamburger, Stieltjes, Hausdorff and Toeplitz moment problems, and the subsequent proof that polynomially hyponormal operators need not be subnormal. We present a general elementary approach to truncated moment problems in one or several real or complex variables, based on matrix positivity and extension. Together...