Raf Vandebril

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All published works

Action	Title	Year	Authors
+ PDF Chat	The RQR algorithm	2024	Daan Camps Thomas Mach Raf Vandebril David S. Watkins
+ PDF Chat	An Arnoldi-based approach to polynomial and rational least squares problems	2024	Amin Faghih Marc Van Barel Niel Van Buggenhout Raf Vandebril
+ PDF Chat	Parallel Two-Stage Reduction to Hessenberg-Triangular Form	2024	Thijs Steel Raf Vandebril
+ PDF Chat	Approximating maps into manifolds with lower curvature bounds	2024	Simon Jacobsson Raf Vandebril Joeri Van der Veken Nick Vannieuwenhoven
+ PDF Chat	A new deflation criterion for the QZ algorithm	2023	Thijs Steel Raf Vandebril Julien Langou
+ PDF Chat	Algorithms for modifying recurrence relations of orthogonal polynomial and rational functions when changing the discrete inner product	2023	Marc Van Barel Niel Van Buggenhout Raf Vandebril
+ PDF Chat	Rational QZ steps with perfect shifts	2023	Nicola Mastronardi Marc Van Barel Raf Vandebril Paul Van Dooren
+	Parallel two-stage reduction to Hessenberg-triangular form	2023	Thijs Steel Raf Vandebril
+	Algorithms for Modifying Recurrence Relations of Orthogonal Polynomial and Rational Functions when Changing the Discrete Inner Product	2023	Marc Van Barel Niel Van Buggenhout Raf Vandebril
+ PDF Chat	The seriation problem in the presence of a double Fiedler value	2022	Anna Concas Caterina Fenu G. Rodríguez Raf Vandebril
+ PDF Chat	A novel, blocked algorithm for the reduction to Hessenberg-triangular form	2022	Thijs Steel Raf Vandebril
+	The seriation problem in the presence of a double Fiedler value	2022	Anna Concas Caterina Fenu G. Rodríguez Raf Vandebril
+	A new deflation criterion for the QZ algorithm	2022	Thijs Steel Raf Vandebril Julien Langou
+ PDF Chat	Generation of orthogonal rational functions by procedures for structured matrices	2021	Niel Van Buggenhout Marc Van Barel Raf Vandebril
+ PDF Chat	Preface	2021	Froilán M. Dopico Daniel Kreßner Nicola Mastronardi Volker Mehrmann Raf Vandebril
+ PDF Chat	A Multishift, Multipole Rational QZ Method with Aggressive Early Deflation	2021	Thijs Steel Daan Camps Karl Meerbergen Raf Vandebril
+ PDF Chat	Structured backward errors in linearizations	2021	Vanni Noferini Leonardo Robol Raf Vandebril
+ PDF Chat	Pole-Swapping Algorithms for Alternating and Palindromic Eigenvalue Problems	2020	Thomas Mach Thijs Steel Raf Vandebril David S. Watkins
+ PDF Chat	On pole-swapping algorithms for the eigenvalue problem	2020	Daan Camps Thomas Mach Raf Vandebril David S. Watkins
+ PDF Chat	When is a matrix unitary or Hermitian plus low rank?	2019	Gianna M. Del Corso Federico Poloni Leonardo Robol Raf Vandebril
+	A multishift, multipole rational QZ method for the generalized eigenvalue problem	2019	Raf Vandebril Daan Camps Paul Van Dooren Karl Meerbergen
+	Pole-swapping algorithms for alternating and palindromic eigenvalue problems	2019	Thomas Mach Thijs Steel Raf Vandebril David S. Watkins
+	On pole-swapping algorithms for the eigenvalue problem	2019	Daan Camps Thomas Mach Raf Vandebril David S. Watkins
+ PDF Chat	A Rational QZ Method	2019	Daan Camps Karl Meerbergen Raf Vandebril
+	Structured backward errors in linearizations	2019	Vanni Noferini Leonardo Robol Raf Vandebril
+	Pole-swapping algorithms for alternating and palindromic eigenvalue problems	2019	Thomas Mach Thijs Steel Raf Vandebril David S. Watkins
+	When is a matrix unitary or Hermitian plus low rank	2018	Gianna M. Del Corso Federico Poloni Leonardo Robol Raf Vandebril
+	Core-Chasing Algorithms for the Eigenvalue Problem	2018	Jared L. Aurentz Thomas Mach Leonardo Robol Raf Vandebril David S. Watkins
+	On an Economic Arnoldi Method for $BML$-Matrices	2018	Bernhard Beckermann Clara Mertens Raf Vandebril
+ PDF Chat	Fast and Backward Stable Computation of Roots of Polynomials, Part II: Backward Error Analysis; Companion Matrix and Companion Pencil	2018	Jared L. Aurentz Thomas Mach Leonardo Robol Raf Vandebril David S. Watkins
+	Biorthogonal Extended Krylov Subspace Methods	2018	Niel Van Buggenhout Marc Van Barel Raf Vandebril
+	When is a matrix unitary or Hermitian plus low rank?	2018	Gianna M. Del Corso Federico Poloni Leonardo Robol Raf Vandebril
+	Fast and backward stable computation of eigenvalues and eigenvectors of matrix polynomials	2017	Jared L. Aurentz Thomas Mach Leonardo Robol Raf Vandebril David S. Watkins
+ PDF Chat	An extended Hamiltonian QR algorithm	2017	Micol Ferranti Bruno Iannazzo Thomas Mach Raf Vandebril
+ PDF Chat	On a fast Arnoldi method for BML matrices	2017	Bernhard Beckermann Clara Mertens Raf Vandebril
+ PDF Chat	On a fast Arnoldi method for BML matrices	2017	Bernhard Beckermann Clara Mertens Raf Vandebril
+ PDF Chat	On a fast Arnoldi method for BML matrices	2017	Bernhard Beckermann Clara Mertens Raf Vandebril
+ PDF Chat	A Framework for Structured Linearizations of Matrix Polynomials in Various Bases	2017	Leonardo Robol Raf Vandebril Paul Van Dooren
+	Fast and backward stable computation of the eigenvalues and eigenvectors of matrix polynomials	2016	Jared L. Aurentz Thomas Mach Leonardo Robol Raf Vandebril David S. Watkins
+	Roots of Polynomials: on twisted QR methods for companion matrices and pencils	2016	Jared L. Aurentz Thomas Mach Leonardo Robol Raf Vandebril David S. Watkins
+	Fast and backward stable computation of the eigenvalues of matrix polynomials	2016	Jared L. Aurentz Thomas Mach Leonardo Robol Raf Vandebril David S. Watkins
+	Convergence rates for inverse-free rational approximation of matrix functions	2016	Carl Jagels Thomas Mach Lothar Reichel Raf Vandebril
+	A framework for structured linearizations of matrix polynomials in various bases	2016	Leonardo Robol Raf Vandebril Paul Van Dooren
+	Adaptive cross approximation for ill-posed problems	2016	Thomas Mach Lothar Reichel Marc Van Barel Raf Vandebril
+	A note on companion pencils	2016	Jared L. Aurentz Thomas Mach Raf Vandebril David S. Watkins
+	A note on compacnion pencils	2016	Jared L. Aurentz Thomas Mach Raf Vandebril David S. Watkins
+	Fast and backward stable computation of roots of polynomials, Part II: backward error analysis; companion matrix and companion pencil	2016	Jared L. Aurentz Thomas Mach Leonardo Robol Raf Vandebril David S. Watkins
+	Fast and backward stable computation of the eigenvalues and eigenvectors of matrix polynomials	2016	Jared L. Aurentz Thomas Mach Leonardo Robol Raf Vandebril David S. Watkins
+	A framework for structured linearizations of matrix polynomials in various bases	2016	Leonardo Robol Raf Vandebril Paul Van Dooren
+	Averaging block-Toeplitz matrices with preservation of Toeplitz block structure	2015	Ben Jeuris Raf Vandebril
+	Extended Hamiltonian Hessenberg Matrices arise in Projection based Model Order Reduction	2015	Micol Ferranti Thomas Mach Raf Vandebril
+	Truncating a generic tensor rank decomposition of small rank is not optimal	2015	Nick Vannieuwenhoven Johannes Nicaise Raf Vandebril Karl Meerbergen
+	On rotations and approximate rational Krylov subspaces	2015	Raf Vandebril Thomas Mach Lothar Reichel Carl Jagels Miroslav S. Pranić
+ PDF Chat	Computing the Gradient in Optimization Algorithms for the CP Decomposition in Constant Memory through Tensor Blocking	2015	Nick Vannieuwenhoven Karl Meerbergen Raf Vandebril
+	Riemannian Optimization for Averaging Positive Definite	2015	Ben Jeuris Raf Vandebril Johannes Nicaise
+	Lineaire Algebra: Slides	2015	Raf Vandebril
+	A numerical example showing that deflations based on rotation leads to higher relative accuracy in QR algorithm	2014	Thomas Mach Raf Vandebril
+	Fast and stable computation of the roots of polynomials	2014	Jared L. Aurentz Thomas Mach Raf Vandebril David S. Watkins
+	Roots of polynomials	2014	Raf Vandebril Thomas Mach David S. Watkins Jared L. Aurentz
+	On Rotations and (Rational) Krylov Subspaces	2014	Thomas Mach Miroslav S. Pranić Raf Vandebril
+	Inverse eigenvalue problems for extended Hessenberg and extended tridiagonal matrices	2014	Thomas Mach Marc Van Barel Raf Vandebril
+ PDF Chat	A randomized algorithm for testing nonsingularity of structured matrices with an application to asserting nondefectivity of Segre varieties	2014	Nick Vannieuwenhoven Raf Vandebril Karl Meerbergen
+ PDF Chat	Multiple Recurrences and the Associated Matrix Structures Stemming From Normal Matrices	2014	Clara Mertens Raf Vandebril
+ PDF Chat	On Generic Nonexistence of the Schmidt--Eckart--Young Decomposition for Complex Tensors	2014	Nick Vannieuwenhoven Johannes Nicaise Raf Vandebril Karl Meerbergen
+	Hitchcock's rank decomposition: an algebraic geometry point of view	2013	Nick Vannieuwenhoven Raf Vandebril Karl Meerbergen
+ PDF Chat	Geometric means of structured matrices	2013	Dario A. Bini Bruno Iannazzo Ben Jeuris Raf Vandebril
+ PDF Chat	A comparison between the complex symmetric based and classical computation of the singular value decomposition of normal matrices	2013	Micol Ferranti Thanh Hieu Le Raf Vandebril
+	The multiple-vector tensor-vector product	2013	Nick Vannieuwenhoven Nick Vanbaelen Karl Meerbergen Raf Vandebril
+	Computing eigenvalues of normal matrices via complex symmetric matrices	2013	Micol Ferranti Raf Vandebril
+	The dense multiple-vector tensor-vector product: An initial study	2013	Nick Vannieuwenhoven Nick Vanbaelen Karl Meerbergen Raf Vandebril
+	Geometric mean algorithms based on harmonic and arithmetic iterations	2013	Ben Jeuris Raf Vandebril
+	The multiple-vector tensor-vector multiplication	2013	Nick Vannieuwenhoven Nick Vanbaelen Karl Meerbergen Raf Vandebril
+	The structured geometric mean	2013	Ben Jeuris Raf Vandebril Dario Bini Bruno Iannazzo
+	Inverse eigenvalue problems linked to rational Arnoldi, and rational, (non)symmetric Lanczos	2013	Thomas Mach Raf Vandebril Marc Van Barel
+	On generalizing the Schmidt-Eckart-Young theorem to tensors	2013	Nick Vannieuwenhoven Raf Vandebril Karl Meerbergen
+ PDF Chat	Fast Computation of the Zeros of a Polynomial via Factorization of the Companion Matrix	2013	Jared L. Aurentz Raf Vandebril David S. Watkins
+ PDF Chat	Geometric Mean Algorithms Based on Harmonic and Arithmetic Iterations	2013	Ben Jeuris Raf Vandebril
+	An extension of the QZ algorithm beyond the Hessenberg-upper triangular pencil	2013	Raf Vandebril David S. Watkins
+	A probabilistic numerical algorithm based on Terracini's lemma for proving nondefectivity of Segre varieties	2012	Nick Vannieuwenhoven Raf Vandebril Karl Meerbergen
+	Matrix manifold optimization: Contemporary algorithms for computing the matrix geometric mean	2012	Ben Jeuris Raf Vandebril Bart Vandereycken Dari Bini Bruno Iannazzo
+	Unitary similarity of normal matrices to complex symmetric form	2012	Micol Ferranti Raf Vandebril Thanh Hieu Le
+	Fast computation of zeros of a polynomial	2012	David S. Watkins Raf Vandebril Jared L. Aurentz
+	A new truncation strategy for the higher-order singular value decomposition of tensors	2012	Nick Vannieuwenhoven Raf Vandebril Karl Meerbergen
+	How differential geometry assists in computing the matrix geometric mean	2012	Raf Vandebril Ben Jeuris Dario A. Bini Bart Vandereycken Bruno Iannazzo
+	A survey and comparison of contemporary algorithms for computing the matrix geometric mean	2012	Ben Jeuris Raf Vandebril Bart Vandereycken
+ PDF Chat	A New Truncation Strategy for the Higher-Order Singular Value Decomposition	2012	Nick Vannieuwenhoven Raf Vandebril Karl Meerbergen
+	The sequentially truncated multilinear singular value decomposition for tensors	2011	Nick Vannieuwenhoven Raf Vandebril Karl Meerbergen
+	On the truncated multilinear singular value decomposition	2011	Nick Vannieuwenhoven Raf Vandebril Karl Meerbergen
+ PDF Chat	Chasing Bulges or Rotations? A Metamorphosis of the QR-Algorithm	2011	Raf Vandebril
+	A unitary similarity transform of a normal matrix to complex symmetric form	2010	Raf Vandebril
+	QR-type iterations for eigenvalue computations based on factorizations of unitary matrices in rotations	2010	Raf Vandebril
+	The solution of a class of two-parameter eigenvalue problems and a connection with the implicitly restarted Arnoldi method	2010	Karl Meerbergen A. Spence Raf Vandebril
+	Polynomial extremal problems and logarithmic potential theory in numerical linear algebra	2010	Bernd Beckermann Stefan Guettel Raf Vandebril
+	Homotopy algorithm for the symmetric diagonal-plus-semiseparable eigenvalue problem	2010	Andrey Chesnokov Marc Van Barel Nicola Mastronardi Raf Vandebril
+ PDF Chat	Implicit double shift QR-algorithm for companion matrices	2010	Marc Van Barel Raf Vandebril Paul Van Dooren Katrijn Frederix
+ PDF Chat	On tridiagonal matrices unitarily equivalent to normal matrices	2010	Raf Vandebril
+	Inverse subspace iteration for the solution of a class of parameterized eigenvalue problems	2010	Raf Vandebril Karl Meerbergen
+ PDF Chat	An Implicit Multishift $QR$-Algorithm for Hermitian Plus Low Rank Matrices	2010	Raf Vandebril Gianna M. Del Corso
+ PDF Chat	On the Convergence of Rational Ritz Values	2010	Bernhard Beckermann Stefan Güttel Raf Vandebril
+	A fast algorithm for computing the null-space of polynomial matrices	2010	Nicola Mastronardi Paul Van Dooren Raf Vandebril Eugene E. Tyrtyshnikov Marc Van Barel
+	Rational Krylov methods and approximation of f (A)b	2009	Bernhard Beckermann Michael Eiermann Oliver G. Ernst Stefan Güttel Raf Vandebril
+	A multiple shift <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.gif" display="inline" overflow="scroll"><mml:mi>Q</mml:mi><mml:mi>R</mml:mi></mml:math>-step for structured rank matrices	2009	Raf Vandebril Marc Van Barel Nicola Mastronardi
+ PDF Chat	A Quasi-Separable Approach to Solve the Symmetric Definite Tridiagonal Generalized Eigenvalue Problem	2009	Raf Vandebril Gene H. Golub Marc Van Barel
+	On the convergence of rational Ritz values, with applications to rational interpolation of rational functions	2009	Bernhard Beckermann Stefan G ̈ uttel Raf Vandebril
+	Eigenvalue and singular value methods	2009	Raf Vandebril Marc Van Barel Nicola Mastronardi
+ PDF Chat	Rational QR-iteration without inversion	2008	Raf Vandebril Marc Van Barel Nicola Mastronardi
+	On computing the null space of polynomial matrices	2008	Nicola Mastronardi Raf Vandebril Marc Van Barel
+	Computing the null space of block Toeplitz/Hankel matrices	2008	Nicola Mastronardi Marc Van Barel Raf Vandebril
+ PDF Chat	A fast algorithm for computing the smallest eigenvalue of a symmetric positive‐definite Toeplitz matrix	2008	Nicola Mastronardi Marc Van Barel Raf Vandebril
+	Semiseparable Matrices and the Symmetric Eigenvalue Problem	2008	Marc Van Barel Raf Vandebril Gianni Codevico Ellen Van Camp Steven Delvaux Nicola Mastronardi
+	A parallel QR-factorization/solver of quasiseparable matrices	2008	Raf Vandebril Marc Van Barel Nicola Mastronardi
+	The generalized Schur algorithm for computing the nullspace of polynomial matrices	2008	Nicola Mastronardi Marc Van Barel Raf Vandebril
+	A new iteration for computing the eigenvalues of semiseparable (plus diagonal) matrices	2007	Raf Vandebril Marc Van Barel Nicola Mastronardi
+	A QZ-method based on semiseparable matrices	2007	Yvette Vanberghen Raf Vandebril Marc Van Barel
+	A QH-iteration for Hessenberg-like matrices	2007	Marc Van Barel Raf Vandebril Nicola Mastronardi
+	A generalization of the QR-algorithm for semiseparable (plus diagonal) matrices	2007	Marc Van Barel Raf Vandebril Nicola Mastronardi
+	Solving linear systems with a Levinson-like solver.	2007	Raf Vandebril Nicola Mastronardi Marc Van Barel
+	A rational QR-iteration	2007	Raf Vandebril Marc Van Barel Nicola Mastronardi
+	A parallel QR-factorization/solver of structured rank matrices	2006	Raf Vandebril Marc Van Barel Nicola Mastronardi
+ PDF Chat	On the convergence properties of the orthogonal similarity transformations to tridiagonal and semiseparable (plus diagonal) form	2006	Raf Vandebril Ellen Van Camp Marc Van Barel Nicola Mastronardi
+	A Levinson-like algorithm for symmetric strongly nonsingular higher order semiseparable plus band matrices	2006	Raf Vandebril Nicola Mastronardi Marc Van Barel
+ PDF Chat	A small note on the scaling of symmetric positive definite semiseparable matrices	2006	Raf Vandebril Gene H. Golub Marc Van Barel
+	Rank structured matrix operations	2006	Marc Van Barel Raf Vandebril Nicola Mastronardi Steven Delvaux Yvette Vanberghen
+	A general Levinson framework for solving systems of equations	2006	Raf Vandebril Marc Van Barel Nicola Mastronardi
+	Necessary and sufficient conditions for orthogonal similarity transformations to obtain the Arnoli(Lanczos)–Ritz values	2005	Raf Vandebril Marc Van Barel
+ PDF Chat	Orthogonal similarity transformation of a symmetric matrix into a diagonal-plus-semiseparable one with free choice of the diagonal	2005	Raf Vandebril Ellen Van Camp Marc Van Barel Nicola Mastronardi
+ PDF Chat	A bibliography on semiseparable matrices*	2005	Raf Vandebril Marc Van Barel Gene H. Golub Nicola Mastronardi
+ PDF Chat	A Lanczos–like reduction of symmetric structured matrices to semiseparable form*	2005	Nicola Mastronardi M. Schuermans Marc Van Barel Raf Vandebril Sabine Van Huffel
+ PDF Chat	An Implicit Q Theorem for Hessenberg-like Matrices	2005	Raf Vandebril Marc Van Barel Nicola Mastronardi
+	On computing the eigenvectors of a class of structured matrices	2005	Nicola Mastronardi Marc Van Barel Ellen Van Camp Raf Vandebril
+	A note on the nullity theorem	2005	Raf Vandebril Marc Van Barel
+ PDF Chat	An implicit <i>QR</i> algorithm for symmetric semiseparable matrices	2005	Raf Vandebril Marc Van Barel Nicola Mastronardi
+	Computing the rank revealing factorization of symmetric matrices by the semiseparable reduction	2005	Moorsel van Barel R. Vandebril Nicola Mastronardi Marc Van Barel Raf Vandebril
+	A Levinson-like algorithm for symmetric positive definite semiseparable plus diagonal matrices	2005	Nicola Mastronardi Raf Vandebril Marc Van Barel
+ PDF Chat	A note on the recursive calculation of dominant singular subspaces	2005	Nicola Mastronardi Marc Van Barel Raf Vandebril
+ PDF Chat	An Orthogonal Similarity Reduction of a Matrix into Semiseparable Form	2005	Marc Van Barel Raf Vandebril Nicola Mastronardi
+	Structured rank matrices and their applications in numerical linear algebra	2005	Raf Vandebril Marc Van Barel
+ PDF Chat	A QR?method for computing the singular values via semiseparable matrices	2004	Raf Vandebril Marc Van Barel Nicola Mastronardi
+	The QR-algorithm for semiseparable matrices	2004	Yvette Vanberghen Raf Vandebril Marc Van Barel
+	A short note on the nullity theorem	2004	Raf Vandebril Marc Van Barel
+	Necessary and sufficient conditions for orthogonal similarity transformations to obtain the Ritz values	2004	Raf Vandebril Marc Van Barel
+	The nullity theorem and some generalizations	2004	Raf Vandebril Marc Van Barel
+	A comparison between the semiseparable and the tridiagonal eigenvalue solvers	2004	Raf Vandebril Marc Van Barel Nicola Mastronardi
+	On the convergence properties of an orthogonal similarity reduction to semiseparable (plus diagonal) form	2004	Raf Vandebril Marc Van Barel Ellen Van Camp Nicola Mastronardi
+	Implicit QR-algorithms for tridiagonal and semiseparable matrices	2004	Marc Van Barel Raf Vandebril
+	The QR-algorithm for diagonal plus rank-one matrices	2004	Marc Van Barel Ellen Van Camp Raf Vandebril Nicola Mastronardi
+	Orthogonal similarity reduction of a symmetric matrix into semiseparable form and it\'s properties	2004	Marc Van Barel Raf Vandebril
+	A comparison between the eigenvalue solvers based on semiseparable and tridiagonal matrices	2004	Raf Vandebril Marc Van Barel Nicola Mastronardi
+	Solving eigenvalue problems using semiseparable instead of tridiagonal matrices	2003	Raf Vandebril Marc Van Barel Nicola Mastronardi
+	An implicit QR algorithm for semiseparable matrices to compute the eigendecomposition of symmetric matrices.	2003	Raf Vandebril Marc Van Barel Nicola Mastronardi
+	Solving symmetric eigenvalue problems using semiseparable matrices instead of tridiagonal ones	2003	Raf Vandebril Nicola Mastronardi Marc Van Barel
+	The Lanczos-Ritz values appearing in an orthogonal similarity reduction of a matrix into semiseparable form	2003	Raf Vandebril Marc Van Barel Raf Vandebril Nicola Mastronardi Nicola Mastronardi
+	A fast solver for a bivariate polynomial vector homogeneous interpolation problem	2002	Raf Vandebril Marc Van Barel
+	A new approach on multivariate interpolation	2001	Raf Vandebril Marc Van Barel Bernard Mourrain Olivier Ruatta

Common Coauthors

Coauthor	Papers Together
Marc Van Barel	64
Nicola Mastronardi	42
Thomas Mach	24
David S. Watkins	21
Karl Meerbergen	19
Leonardo Robol	16
Nick Vannieuwenhoven	15
Jared L. Aurentz	14
Ben Jeuris	9
Thijs Steel	9
Bernhard Beckermann	7
Paul Van Dooren	7
Ellen Van Camp	6
Daan Camps	6
Clara Mertens	5
Bruno Iannazzo	5
Micol Ferranti	5
Niel Van Buggenhout	5
Gianna M. Del Corso	4
Yvette Vanberghen	3
Thomas Mach	3
Federico Poloni	3
Johannes Nicaise	3
Lothar Reichel	3
Bart Vandereycken	3
Gene H. Golub	3
Nick Vanbaelen	3
G. Rodríguez	2
Stefan Güttel	2
Steven Delvaux	2
Caterina Fenu	2
Carl Jagels	2
Thanh Hieu Le	2
Anna Concas	2
Julien Langou	2
Vanni Noferini	2
Miroslav S. Pranić	2
Dario A. Bini	2
Stefan G ̈ uttel	1
Amin Faghih	1
Volker Mehrmann	1
Michael Eiermann	1
Katrijn Frederix	1
Gianni Codevico	1
Joeri Van der Veken	1
Bernd Beckermann	1
Sabine Van Huffel	1
Simon Jacobsson	1
M. Schuermans	1
Bernard Mourrain	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	An Orthogonal Similarity Reduction of a Matrix into Semiseparable Form	2005	Marc Van Barel Raf Vandebril Nicola Mastronardi	19
+	The Symmetric Eigenvalue Problem	1998	Beresford Ν. Parlett	19
+ PDF Chat	An implicit <i>QR</i> algorithm for symmetric semiseparable matrices	2005	Raf Vandebril Marc Van Barel Nicola Mastronardi	17
+	The QR iteration method for Hermitian quasiseparable matrices of an arbitrary order	2005	Yuli Eidelman Israel Gohberg Vadim Olshevsky	15
+	An Algorithm for Generalized Matrix Eigenvalue Problems	1973	C Moler G. W. Stewart	15
+	Fast and stable algorithms for reducing diagonal plus semiseparable matrices to tridiagonal and bidiagonal form	2003	Dario Fasino Nicola Mastronardi Marc Van Barel	13
+	Two fast algorithms for solving diagonal-plus-semiseparable linear systems	2003	Ellen Van Camp Nicola Mastronardi Marc Van Barel	13
+	Fast QR Eigenvalue Algorithms for Hessenberg Matrices Which Are Rank‐One Perturbations of Unitary Matrices	2007	Dario A. Bini Yuli Eidelman Luca Gemignani Israel Gohberg	11
+	Oscillation Matrices and Kernels and Small Vibrations of Mechanical Systems	2002	Felix R. Gantmacher M. Г. Крейн	11
+	Divide and conquer algorithms for computing the eigendecomposition of symmetric diagonal-plus-semiseparable matrices	2005	Nicola Mastronardi Ellen Van Camp Marc Van Barel	11
+ PDF Chat	Chasing Bulges or Rotations? A Metamorphosis of the QR-Algorithm	2011	Raf Vandebril	10
+	On a new class of structured matrices	1999	Yuli Eidelman Israel Gohberg	10
+	Completing a matrix when certain entries of its inverse are specified	1986	Miroslav Fiedler Thomas L. Markham	9
+	ON THE SHIFTED QR ITERATION APPLIED TO COMPANION MATRICES	2004	Dario A. Bini Francesco Daddi Luca Gemignani	9
+	Some Perspectives on the Eigenvalue Problem	1993	David S. Watkins	9
+	Convergence of algorithms of decomposition type for the eigenvalue problem	1991	David S. Watkins L. Elsner	9
+	The QR algorithm for unitary Hessenberg matrices	1986	William B. Gragg	9
+	Schur parameter pencils for the solution of the unitary eigenproblem	1991	Angelika Bunse‐Gerstner L. Elsner	9
+	The Lanczos-Ritz values appearing in an orthogonal similarity reduction of a matrix into semiseparable form	2003	Raf Vandebril Marc Van Barel Raf Vandebril Nicola Mastronardi Nicola Mastronardi	9
+ PDF Chat	Vector Spaces of Linearizations for Matrix Polynomials	2006	D. Steven Mackey Niloufer Mackey Christian Mehl Volker Mehrmann	9
+	Direct and Inverse Eigenvalue Problems for Diagonal-Plus-Semiseparable Matrices	2003	Dario Fasino Luca Gemignani	8
+	None	2001	Nicola Mastronardi Shivkumar Chandrasekaran Sabine Van Huffel	8
+	Rational Krylov matrices andQR steps on Hermitian diagonal-plus-semiseparable matrices	2005	Dario Fasino	8
+	Which Eigenvalues Are Found by the Lanczos Method?	2000	Arno B. J. Kuijlaars	8
+	Fast and stable eigendecomposition of symmetric banded plus semi-separable matrices	2000	Shivkumar Chandrasekaran Ming Gu	8
+	A Generalized Eigenvalue Approach for Solving Riccati Equations	1981	Paul Van Dooren	8
+	An implicit QR algorithm for semiseparable matrices to compute the eigendecomposition of symmetric matrices.	2003	Raf Vandebril Marc Van Barel Nicola Mastronardi	8
+	The explicit QR-algorithm for rank structured matrices	2006	Steven Delvaux Marc Van Barel	7
+	Orthogonal Rational Functions and Structured Matrices	2005	Marc Van Barel Dario Fasino Luca Gemignani Nicola Mastronardi	7
+	Understanding the $QR$ Algorithm	1982	David S. Watkins	7
+ PDF Chat	Tensor Rank and the Ill-Posedness of the Best Low-Rank Approximation Problem	2008	Vin de Silva Lek‐Heng Lim	7
+	Numerical Methods for General and Structured Eigenvalue Problems	2005	Daniel Kreßner	7
+	Rational Krylov sequence methods for eigenvalue computation	1984	Axel Ruhe	7
+	Jacobi’s Method is More Accurate than QR	1992	James Demmel Krešimir Veselić	6
+ PDF Chat	A Rational QZ Method	2019	Daan Camps Karl Meerbergen Raf Vandebril	6
+	Necessary and Sufficient Conditions for the Existence of a Conjugate Gradient Method	1984	Vance Faber Thomas A. Manteuffel	6
+	An extension of the QZ algorithm beyond the Hessenberg-upper triangular pencil	2013	Raf Vandebril David S. Watkins	6
+ PDF Chat	A QR?method for computing the singular values via semiseparable matrices	2004	Raf Vandebril Marc Van Barel Nicola Mastronardi	6
+ PDF Chat	Theory of Decomposition and Bulge-Chasing Algorithms for the Generalized Eigenvalue Problem	1994	David S. Watkins L. Elsner	6
+ PDF Chat	Fast Computation of the Zeros of a Polynomial via Factorization of the Companion Matrix	2013	Jared L. Aurentz Raf Vandebril David S. Watkins	6
+	Inversion formulas and linear complexity algorithm for diagonal plus semiseparable matrices	1997	Yuli Eidelman Israel Gohberg	6
+	Tensor Decompositions and Applications	2009	Tamara G. Kolda Brett W. Bader	6
+	Bulge Exchanges in Algorithms of QR Type	1998	David S. Watkins	6
+	The Arnoldi Method for Normal Matrices	1994	Thomas Huckle	6
+ PDF Chat	Structured Polynomial Eigenvalue Problems: Good Vibrations from Good Linearizations	2006	D. Steven Mackey Niloufer Mackey Christian Mehl Volker Mehrmann	6
+	Fast and stable two-way algorithm for diagonal plus semi-separable systems of linear equations	2000	Nicola Mastronardi Shivkumar Chandrasekaran Sabine Van Huffel	6
+ PDF Chat	On the convergence properties of the orthogonal similarity transformations to tridiagonal and semiseparable (plus diagonal) form	2006	Raf Vandebril Ellen Van Camp Marc Van Barel Nicola Mastronardi	6
+	On the fast reduction of a quasiseparable matrix to Hessenberg and tridiagonal forms	2006	Yuli Eidelman Israel Gohberg Luca Gemignani	6
+	A Fast QR Algorithm for Companion Matrices	2007	S. Chandrasekaran Ming Gu Jianlin Xia Jiang Zhu	6
+ PDF Chat	Computing eigenspaces with specified eigenvalues of a regular matrix pair (A, B) and condition estimation: theory, algorithms and software	1996	Bo Kågström Peter Poromaa	5