In this paper, using variational analysis and optimization techniques, we examine some fundamental analytic properties of Z-eigenvalues of a real symmetric tensor with even order. We first establish that the maximum Z-eigenvalue function is a continuous and convex function on the symmetric tensor space, and so, provide formulas of the convex conjugate function and ε-subdifferential of the maxim...

We prove that the set of n×n positive (row-)stochastic matrices and the corresponding set of doubly-stochastic matrices are asymptotically close. More specifically, random matrices within each of these classes are arbitrarily close in sufficiently high dimensions. AMS 2000 subject classifications:Primary 15A51,15A52,15A60, Stochastic Matrices. Let Sn denote the set of n × n stochastic matrices ...

seismic piezocone device (scptu) together with resonant column and cyclic triaxial test apparatus are employed to measure small strain shear modulus (g0) of carbonate sandy and clayey soils of southern coasts of iran. a large area of southern regions of iran is formed from clay, silt and sand. in this study, maximum shear modulus that is derived from both field (by seismic piezocone) and labora...

This paper deals with the problem of finding some upper bound estimates for maximum modulus a univariate complex polynomial on disk under certain constraints zeros and functions involved. A variety interesting results follow as special cases from our general results.