Eigenvalue computations are ubiquitous in science and engineering. John Francis's implicitly shifted QR algorithm has been the method of choice for small to medium sized eigenvalue problems since its invention in 1959. This book presents a new view of this classical algorithm. While Francis's original procedure chases bulges, the new version chases core transformations, which allows the development of fast algorithms for eigenvalue problems with a variety of special structures. This also leads to a fast and backward stable algorithm for computing the roots of a polynomial by solving the companion matrix eigenvalue problem. The authors received a SIAM Outstanding Paper prize for this work. This book will be of interest to researchers in numerical linear algebra and their students.

Most of us only half-listen to the public service announcements about safety in the home. We lock our doors at night, but do little else to change habits that may make us the next victims of the dangerous individuals who are always on the watch for their next opportunity. This updated paperback edition takes readers through the mindset of predatory criminals - their motives, various plans of attack, and way of thinking - and then teaches simple lifestyle techniques that will help reduce the risk of becoming victimized. Featuring a new chapter on how the Internet and social media has radically changed how some predators operate, criminal behavior specialists Greg Cooper and Mike King provide expert analysis based on real-life cases, in addition to moving insights from victims and criminals themselves. The authors make the point that the people who commit these crimes aren't much different from the predators of the wild, preying on the weak and unsuspecting. What makes these individuals more dangerous than their instinctive wildlife counterparts, however, is that they consciously choose to inflict their will on the more vulnerable members of their own species. To protect our loved ones and ourselves requires that we truly educate ourselves about the predators who live in our society and then take appropriate action. This excellent, in-depth study will help readers lead safer lives.