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A Parallel Algorithm for the Reduction to Tridiagonal Form for Eigendecomposition

โœ Scribed by Hegland, Markus; Kahn, Margaret; Osborne, Michael


Book ID
118188907
Publisher
Society for Industrial and Applied Mathematics
Year
1999
Tongue
English
Weight
348 KB
Volume
21
Category
Article
ISSN
1064-8275

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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