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A Fast Parallel Cholesky Decomposition Algorithm for Tridiagonal Symmetric Matrices

โœ Scribed by Bar-On, Ilan; Codenotti, Bruno; Leoncini, Mauro


Book ID
118215402
Publisher
Society for Industrial and Applied Mathematics
Year
1997
Tongue
English
Weight
334 KB
Volume
18
Category
Article
ISSN
0895-4798

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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