A new iteration for computing the eigenvalues of semiseparable (plus diagonal) matrices (original) (raw)

The explicit QR-algorithm for rank structured matrices

Marc Van Barel

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A multiple shift -step for structured rank matrices

Marc Van Barel

Journal of Computational and Applied Mathematics, 2010

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A multiple shift QR-step for structured rank matrices

Nicola Mastronardi

Journal of computational and …, 2010

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Numerical Behavior of the DQR Method for Rank-Structured Matrices

Luca Gemignani

2008

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A Hessenberg Reduction Algorithm for Rank Structured Matrices

Marc Van Barel

SIAM Journal on Matrix Analysis and Applications, 2007

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An implicit QR algorithm for semiseparable matrices to compute the eigendecomposition of symmetric matrices. Report TW 367, Department of Computer Science, KU Leuven, Leuven, Belgium, August 2003

Raf Vandebril

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A QR-Based Solver for Rank Structured Matrices

Marc Van Barel

SIAM Journal on Matrix Analysis and Applications, 2008

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Rank structured matrix operations

Nicola Mastronardi

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A QZ-algorithm for semiseparable matrices

Marc Van Barel

2006

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An implicit QR algorithm for semiseparable matrices to compute the eigendecomposition of symmetric matrices

Nicola Mastronardi

Report TW

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A QZ-method based on semiseparable matrices

Marc Van Barel

Journal of Computational and Applied Mathematics, 2008

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A QR–method for computing the singular values via semiseparable matrices

Nicola Mastronardi

Numerische Mathematik, 2004

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A parallel QR-factorization/solver of structured rank matrices

Nicola Mastronardi

status: published

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A unitary Hessenberg QR-based algorithm via semiseparable matrices

Luca Gemignani

Journal of Computational and Applied Mathematics, 2005

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Eigenvalue computation for unitary rank structured matrices

Marc Van Barel

Journal of Computational and Applied Mathematics, 2008

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QR-factorization of Displacement Structured Matrices Using a Rank Structured Matrix Approach

Luca Gemignani

Numerical Methods for Structured Matrices and Applications, 2010

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A comparison between the semiseparable and the tridiagonal eigenvalue solvers

Marc Van Barel

2004

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Implicit double shift QR-algorithm for companion matrices

Paul M Van Dooren

Numerische Mathematik, 2010

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An implicitQR algorithm for symmetric semiseparable matrices

Raf Vandebril

Numerical Linear Algebra with Applications, 2005

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A non-linear structure preserving matrix method for the low rank approximation of the Sylvester resultant matrix

Martin Bourne

Journal of Computational and Applied Mathematics, 2010

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A PARALLEL QR-FACTORIZATION/SOLVER OF QUASISEPARABLE MATRICES£

Nicola Mastronardi

Electronic Transactions on …, 2008

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On computing the eigenvectors of a class of structured matrices

Nicola Mastronardi

Journal of computational …, 2006

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MSC: Primary: 65F, Secondary: 65F30, 65F15, 15A03. An algorithm for computing the eigenvalues of block

Katrijn Frederix

2009

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An orthogonal similarity reduction of a matrix into semiseparable form

Nicola Mastronardi

SIAM Journal on Matrix …, 2005

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