An Accelerated Bisection Method for the Calculation of Eigenvalues of a Symmetric Tridiagonal Matrix (Classic Reprint)
Herbert J. Bernstein
ISBN 10: 1332095690 ISBN 13: 9781332095698
Published by Forgotten Books, 2018
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This book presents a novel method for calculating eigenvalues of symmetric tridiagonal matrices. Eigenvalues are crucial in various scientific fields, including quantum mechanics and vibration analysis. The author, a renowned mathematician, combines Givens' Sturm bisection with interpolation to accelerate convergence, especially in cases requiring high precision. Unlike existing techniques, this method guarantees convergence and efficiently handles repeated or clustered eigenvalues, a common challenge in eigenvalue calculations. The book includes detailed theoretical background and practical implementation, making it valuable for researchers, engineers, and students seeking an efficient and accurate approach to eigenvalue determination.
About the Author: Bernstein teaches physics at Hampshire College, holds a visiting research position at M.I.T., and is president of ISIS.
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Title: An Accelerated Bisection Method for the ...
Publisher: Forgotten Books
Publication Date: 2018
Binding: PAP
Condition: New
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Paperback. Condition: New. Print on Demand. This book presents a novel method for calculating eigenvalues of symmetric tridiagonal matrices. Eigenvalues are crucial in various scientific fields, including quantum mechanics and vibration analysis. The author, a renowned mathematician, combines Givens' Sturm bisection with interpolation to accelerate convergence, especially in cases requiring high precision. Unlike existing techniques, this method guarantees convergence and efficiently handles repeated or clustered eigenvalues, a common challenge in eigenvalue calculations. The book includes detailed theoretical background and practical implementation, making it valuable for researchers, engineers, and students seeking an efficient and accurate approach to eigenvalue determination. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781332095698_0
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An Accelerated Bisection Method for the Calculation of Eigenvalues of a Symmetric Tridiagonal Matrix (Classic Reprint)
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781332095698
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