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1. The convergence of multi-shift QR algorithm for symmetric matrices.

Author

Su, Qifang

Subjects
*STOCHASTIC convergence, *ALGORITHMS, *SYMMETRIC matrices, *ITERATIVE methods (Mathematics), *NUMERICAL analysis, *MATHEMATICAL analysis
Abstract

Abstract: In this paper, we discuss the convergence of the double-shift and multi-shift QR algorithms for symmetric tridiagonal matrices. We analyze how to choose multi-shifts by comparing the relationships between the number of iterations, CPU time and the number of multi-shifts. Numerical tests and figures are performed. [Copyright &y& Elsevier]

Published
2013
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