دانلود کتاب Core-Chasing Algorithms for the Eigenvalue Problem

Name: Core-Chasing Algorithms for the Eigenvalue Problem
Availability: InStock
Author: Raf Vandebril
ISBN: 1611975336,9781611975338

by Raf Vandebril, David S. Watkins Jared L. Aurentz, Thomas Mach, Leonardo Robol

عنوان فارسی: الگوریتم های دنبال کردن هسته برای مسئله ارزش ویژه
ناشر: Society for Industrial and Applied Mathematics
سال: 2018
زبان: انگلیسی
تعداد صفحه (نسخه چاپی - نسخه الکترونیکی): 148-155
شابک: 1611975336,9781611975338
نوع فایل: PDF دانلود نرم افزار مطالعه
حجم: 2.58 مگابایت

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جزییات کتاب

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.