The implicit QR algorithm is a serial iterative algorithm for determining all the eigenvalues of an \(n \times n\) symmetric tridiagonal matrix \(A\). About \(3 n\) iterations, each requiring the serial application of about \(n\) similarity planar transformations, are required to reduce \(A\) to dia
An overview of parallel algorithms for the singular value and symmetric eigenvalue problems
β Scribed by Michael Berry; Ahmed Sameh
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 942 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0377-0427
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π SIMILAR VOLUMES
Elementary Jacobi Rotations are used as the basic tools to obtain eigenvalues and eigenvectors of arbitrary real symmetric matrices. The proposed algorithm has a complete concurrent structure, that is: every eigenvalueeigenvector pair can be obtained in any order and in an independent way from the r
We present an algorithm for the approximation of the dominant singular values and corresponding right and left singular vectors of a complex symmetric matrix. The method is based on two short-term recurrences first proposed by Saunders, Simon and Yip for a non-Hermitian linear system solver. With s