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This book provides a comprehensive overview of the QR algorithm and its applications in numerical linear algebra. The author covers all aspects of the algorithm, including its convergence properties, computational complexity, and implementation in modern computer architectures. This book is an essential reference for anyone working in the field of numerical linear algebra. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.