From qd to LR, or, how were the qd and LR algorithms discovered?
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چکیده
منابع مشابه
From qd to LR, or, How were the qd and LR algorithms discovered?
Perhaps the most astonishing idea in eigenvalue computation is Rutishauser’s idea of applying the LR transform to a matrix for generating a sequence of similar matrices that become more and more triangular. The same idea is the foundation of the ubiquitous QR algorithm. It is well known that this idea originated in Rutishauser’s qd algorithm, which precedes the LR algorithm and can be understoo...
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ژورنال
عنوان ژورنال: IMA Journal of Numerical Analysis
سال: 2010
ISSN: 0272-4979,1464-3642
DOI: 10.1093/imanum/drq003