In numerical linear algebra, the QR algorithm is an eigenvalue algorithm: that is, a procedure to calculate the eigenvalues and eigenvectors of aâ€¦Â (More)

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2010

2010

- Marc Van Barel, Raf Vandebril, Paul Van Dooren, Katrijn Frederix
- Numerische Mathematik
- 2010

In this paper an implicit (double) shifted QR-method for computing the eigenvalues of companion and fellow matrices will beâ€¦Â (More)

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2008

2008

- David S. Watkins
- SIAM Review
- 2008

The QR algorithm is still one of the most important methods for computing eigenvalues and eigenvectors of matrices. Mostâ€¦Â (More)

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2007

2007

- Shiv Chandrasekaran, Ming Gu, Jianlin Xia, Jiang Zhu
- 2007

It has been shown in [4, 5, 6, 31] that the Hessenberg iterates of a companion matrix under the QR iterations have low offâ€¦Â (More)

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2006

2006

- David S. Watkins
- 2006

The QR algorithm is still one of the most important methods for computing eigenvalues and eigenvectors of matrices. Mostâ€¦Â (More)

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Highly Cited

2004

Highly Cited

2004

- Jieping Ye, Qi Li, Hui Xiong, Haesun Park, Ravi Janardan, Vipin Kumar
- IEEE Transactions on Knowledge and Dataâ€¦
- 2004

Dimension reduction is critical for many database and data mining applications, such as efficient storage and retrieval of highâ€¦Â (More)

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2003

2003

- Daniel Kressner
- 2003

Abstract The periodic QR algorithm is a strongly backward stable method for computing the eigenvalues of products of matrices, orâ€¦Â (More)

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Highly Cited

2002

Highly Cited

2002

- Karen Braman, Ralph Byers, Roy Mathias
- SIAM J. Matrix Analysis Applications
- 2002

Aggressive early deflation is a QR algorithm deflation strategy that takes advantage of matrix perturbations outside of theâ€¦Â (More)

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2000

2000

- Beresford N. Parlett
- Computing in Science and Engineering
- 2000

A brief sketch of the early days of eigenvalue hunting is followed by a description of the QR algorithm and its major virtuesâ€¦Â (More)

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1993

1993

- Rasika A. Mathias, G. W. Stewarty
- 1993

abstract In this note we consider an iterative algorithm for moving a triangular matrix toward diagonality. The algorithm isâ€¦Â (More)

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1987

1987

- G. W. Stewart
- Parallel Computing
- 1987

In this paper a parallel implementation of the QR algorithm for the eigenvalues of a non-Hermitian matrix is proposed. Theâ€¦Â (More)

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