A matrix nearness problem consists of finding, for an arbitrary matrix A, a nearest member of some given class of matrices, where distance is measured in a matrix norm. A survey of nearness problems is given, with particular emphasis on the fundamental properties of symmetry, positive definiteness, orthogonality, normality, rank-deficiency and instability. Theoretical results and computational ...

We propose an interpretable model that combines the simplicity of matrix factorization with flexibility neural networks to evolving user interests by efficiently extracting nonlinear patterns from massive text data collections.

Protein structural fluctuation, typically measured by Debye-Waller factors, or B-factors, is a manifestation of protein flexibility, which strongly correlates to protein function. The flexibility-rigidity index (FRI) is a newly proposed method for the construction of atomic rigidity functions required in the theory of continuum elasticity with atomic rigidity, which is a new multiscale formalis...

Let A be a. matrix of m rows and n columns and let the entries of A be the integers 0 and 1. We call such a matrix a (0, 1) -matrix of size m by n. The 2 (0, 1)-matrices of size m by n play a fundamental role in a wide variety of combinatorial investigations. One of the chief reasons for this is the following. Let X be a set of n elements Xi, X2, • • • , xn and let Xi, X2, • • • , Xm be m subse...

in recent years the aluminum matrix composites are gaining wide spread applications in automotive, aerospace, defense, sport and other industries. the reason for this is their exciting properties like high specific strength, stiffness, hardness, wear resistance, dimensional stability and designer flexibility. the present work reports on mechanical properties and microstructure analysis of al-si...

A fi rewall is a collection of components interposed between two networks that fi lter traffi c between them according to some security policy [1]. Typically, fi rewalls rely on restrictions in the network topology to perform this fi ltering. One key assumption under this model is that everyone on the protected network(s) is trusted, since internal traffi c is not seen by the fi rewall and thus...