A divide-and-conquer method for solving symmetric tridiagonal eigenproblems has evolved from work by Cuppen, Dongarra, Sorensen, Tang, and most recently Gu and Eisenstadt. At the heart of their methods is the solution of a so-called Secular Equation. Proposed here is a more efficient organization of the equation-solving process, including some crucial implementation details.
Title
Solving Secular Equations Stably and Efficiently
Published
1994-12-01
Full Collection Name
Electrical Engineering & Computer Sciences Technical Reports
Other Identifiers
CSD-94-851
Type
Text
Extent
35 p
Archive
The Engineering Library
Usage Statement
Researchers may make free and open use of the UC Berkeley Library’s digitized public domain materials. However, some materials in our online collections may be protected by U.S. copyright law (Title 17, U.S.C.). Use or reproduction of materials protected by copyright beyond that allowed by fair use (Title 17, U.S.C. § 107) requires permission from the copyright owners. The use or reproduction of some materials may also be restricted by terms of University of California gift or purchase agreements, privacy and publicity rights, or trademark law. Responsibility for determining rights status and permissibility of any use or reproduction rests exclusively with the researcher. To learn more or make inquiries, please see our permissions policies (https://www.lib.berkeley.edu/about/permissions-policies).
