This groundbreaking text introduces an innovative new method for calculating eigenvalues of symmetric tridiagonal matrices using accelerated bisection, a technique that greatly reduces the computational complexity of the problem. Written with both the advanced student and the active researcher in mind, this book offers a thorough treatment of the theoretical underpinnings of the method and provides detailed examples of its application in a variety of contexts. 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.