QR algorithm

Known as: QR method, Bulge chasing, Francis algorithm 
In numerical linear algebra, the QR algorithm is an eigenvalue algorithm: that is, a procedure to calculate the eigenvalues and eigenvectors of a… (More)
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Topic mentions per year

1965-2018
0102019652018

Papers overview

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2010
2010
In this paper an implicit (double) shifted QR-method for computing the eigenvalues of companion and fellow matrices will be… (More)
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2008
2008
The QR algorithm is still one of the most important methods for computing eigenvalues and eigenvectors of matrices. Most… (More)
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2007
2007
It has been shown in [4, 5, 6, 31] that the Hessenberg iterates of a companion matrix under the QR iterations have low off… (More)
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2006
2006
The QR algorithm is still one of the most important methods for computing eigenvalues and eigenvectors of matrices. Most… (More)
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Highly Cited
2004
Highly Cited
2004
Dimension reduction is critical for many database and data mining applications, such as efficient storage and retrieval of high… (More)
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2003
2003
Abstract The periodic QR algorithm is a strongly backward stable method for computing the eigenvalues of products of matrices, or… (More)
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Highly Cited
2002
Highly Cited
2002
Aggressive early deflation is a QR algorithm deflation strategy that takes advantage of matrix perturbations outside of the… (More)
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2000
2000
A brief sketch of the early days of eigenvalue hunting is followed by a description of the QR algorithm and its major virtues… (More)
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1993
1993
abstract In this note we consider an iterative algorithm for moving a triangular matrix toward diagonality. The algorithm is… (More)
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1987
1987
In this paper a parallel implementation of the QR algorithm for the eigenvalues of a non-Hermitian matrix is proposed. The… (More)
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