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Block Kronecker linearizations of matrix polynomials and their backward errors
TLDR
We introduce a new family of strong linearizations of matrix polynomials—which we call “block Kronecker pencils”— and perform a backward stability analysis of complete polynomial eigenproblems. Expand
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Exploring the Security Vulnerabilities of LoRa
TLDR
We analyze the LoRa network stack and discuss the possible susceptibility of LoRa devices to different types of attacks using commercial-off-the-shelf hardware. Expand
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Constructing Strong Linearizations of Matrix Polynomials Expressed in Chebyshev Bases
TLDR
In this work, we introduce a new approach for constructing strong linearizations for matrix polynomials expressed in Chebyshev bases, generalizing the classical colleague pencil, and expanding the arena in which to look for linearizations. Expand
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The Largest Roots of the Mandelbrot Polynomials
This paper gives some details of the experimental discovery and partial proof of a simple asymptotic development for the largest magnitude roots of the Mandelbrot polynomials defined by p 0(z) = 1Expand
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A Mechatronically Measurable Double Pendulum for Machine Interval Experiments
, Uppsala University,Box 480, 751 06 Uppsala SwedenSome rights reserved.This work is licensed under the Creative CommonsAttribution-Noncommercial-Share Alike 3.0 New Zealand Licence.To view a copy ofExpand
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μPnP-WAN: Experiences with LoRa and its deployment in DR Congo
TLDR
The Internet of Things (IoT) is being applied in a wide variety of applications, which demand a range of networking support. Expand
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Algorithm 917: Complex Double-Precision Evaluation of the Wright ω Function
TLDR
This article describes an efficient and robust algorithm and implementation for the evaluation of the Wright ω function in IEEE double precision arithmetic over the complex plane. Expand
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μPnP-WAN: Wide area plug and play sensing and actuation with LoRa
TLDR
We introduce μPnP-WAN, which combines the ease of use of the μPp peripheral system, with the long range LoRa network to realize the first true plug- and-play solution for long range sensing and actuation. Expand
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Stability of rootfinding for barycentric Lagrange interpolants
TLDR
We show that computing the roots of a polynomial expressed in barycentric form via the eigenvalues of an associated companion matrix pair is numerically stable, and give a bound for the backward error. Expand
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Fast Reduction of Generalized Companion Matrix Pairs for Barycentric Lagrange Interpolants
  • Piers W. Lawrence
  • Mathematics, Computer Science
  • SIAM J. Matrix Anal. Appl.
  • 3 September 2013
TLDR
In this paper we propose two fast algorithms for reducing the pair $(\mathbf{A},\Mathbf{B})$ to Hessenberg-triangular form. Expand
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