As networks continue to grow in size and complexity, distributed network monitoring and resource querying are becoming increasingly difficult. Our aim is to design, build, and evaluate a scalable infrastructure for answering queries over distributed measurements, at reduced costs (in terms of both network traffic and query latency) while maintaining required precision. In this infrastructure, e...

Index structures are one of the most important tools that DBAs leverage in order to improve the performance of analytics and transactional workloads. However, with the explosion of data that is constantly being generated in a wide variety of domains including autonomous vehicles, Internet of Œings (IoT) devices, and E-commerce sites, building several indexes can o‰en become prohibitive and cons...

We develop the Sparse Approximate Matrix Multiply (SpAMM) n-body solver for first order Newton Schulz iteration of the matrix square root and inverse square root. The solver performs recursive two-sided metric queries on a modified Cauchy-Schwarz criterion (octree-occlusion-culling in the ijkcube), yielding a bounded relative error in the matrix-matrix product and reduced complexity for problem...

Introduction The motivating example for the main theorem of this paper is the following elementary factorization in the Banach algebra c0 of complex sequences converging to zero. If a; is in c0, then there is an a ^ 0 in c0 such that x is in f(a).c0 for each continuous function / on [0, oo) with J-i{0} = {0} and/not tending to zero 'too quickly' as t tends to zero. This observation is essential...

a definition of two jointly asymptotically nonexpansive mappings s and t on uniformly convex banach space e is studied to approximate common fixed points of two such mappings through weak and strong convergence of an ishikawa type iteration scheme generated by s and t on a bounded closed and convex subset of e. as a consequence of the notion of two jointly asymptotically nonexpansive maps, we c...

In this paper we characterize the matrices A with the following property: for each ε > 0 there exists k ∈ N such that ‖Ak − I‖ < ε for a given matrix norm. This characterization is applied to the theory of unitary, hermitian nonnegative, positive and stochastic matrices.