Axel Ruhe

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All published works

Action	Title	Year	Authors
+	A Bibliography of Publications of Axel Ruhe (1942{2015)	2016	Axel Ruhe
+	A Bibliography of Publications of Axel Ruhe	2015	Axel Ruhe
+ PDF Chat	Preface to BIT 53:3	2013	Axel Ruhe
+ PDF Chat	Preface to BIT 53:2	2013	Axel Ruhe
+ PDF Chat	Preface to BIT 52:1	2012	Axel Ruhe
+ PDF Chat	RATIONAL KRYLOV FOR REAL PENCILS WITH COMPLEX EIGENVALUES	2010	Axel Ruhe
+ PDF Chat	Introduction to the contents of issue 50:2	2010	Axel Ruhe
+ PDF Chat	Introduction to the Contents of Issue 49:3	2009	Axel Ruhe
+	Rational Krylov for eigenvalue computation and model order reduction	2006	K. Henrik A. Olsson Axel Ruhe
+	Rational Krylov for Large Nonlinear Eigenproblems	2006	Axel Ruhe
+	Rational Krylov for Model Order Reduction and Eigenvalue Computation	2005	K. Henrik A. Olsson Axel Ruhe
+	4. Hermitian Eigenvalue Problems	2000	Ming Gu Axel Ruhe Richard B. Lehoucq D. C. Sorensen Robert M. Freund Gérard L. G. Sleijpen Henk van der Vorst Zheng‐Jian Bai Ran Li
+	Rational Krylov: A Practical Algorithm for Large Sparse Nonsymmetric Matrix Pencils	1998	Axel Ruhe
+	Rational Krylov, A Practical Algorithm for Large	1995	Axel Ruhe
+	The rational Krylov algorithm for nonsymmetric eigenvalue problems. III: Complex shifts for real matrices	1994	Axel Ruhe
+	Reliable Numerical Computation.	1992	Axel Ruhe M G Cox Sven Hammarling
+	A New Algorithm for Numerical Path Following Applied to an Example from Hydrodynamical Flow	1990	Jacques Huitfeldt Axel Ruhe
+	Closest normal matrix finally found!	1987	Axel Ruhe
+	Templates for the Solution of Algebraic Eigenvalue Problems: A Practical Guide	1987	James Demmel Jack Dongarra Axel Ruhe Henk van der Vorst Zhaojun Bai
+	The Collinearity Problem in Linear Regression. The Partial Least Squares (PLS) Approach to Generalized Inverses	1984	Svante Wold Axel Ruhe Herman Wold William J. Dunn
+	Rational Krylov sequence methods for eigenvalue computation	1984	Axel Ruhe
+	Numerical aspects of gram-schmidt orthogonalization of vectors	1983	Axel Ruhe
+	Fitting Empirical Data by Positive Sums of Exponentials	1980	Axel Ruhe
+	The Spectral Transformation Lanczos Method for the Numerical Solution of Large Sparse Generalized Symmetric Eigenvalue Problems	1980	Thomas Ericsson Axel Ruhe
+ PDF Chat	An Algorithm for Numerical Computation of the Jordan Normal Form of a Complex Matrix	1980	Bo Kågström Axel Ruhe
+ PDF Chat	Algorithm 560: JNF, An Algorithm for Numerical Computation of the Jordan Normal Form of a Complex Matrix [F2]	1980	Bo Kågström Axel Ruhe
+	Algorithms for Separable Nonlinear Least Squares Problems	1980	Axel Ruhe Per Åke Wedin
+	The relation between the Jacobi algorithm and inverse iteration and a Jacobi algorithm based on elementary reflections	1980	Axel Ruhe
+	Accelerated Gauss-Newton algorithms for nonlinear least squares problems	1979	Axel Ruhe
+ PDF Chat	Implementation aspects of band Lanczos algorithms for computation of eigenvalues of large sparse symmetric matrices	1979	Axel Ruhe
+	Computation of eigenvalues and eigenvectors	1977	Axel Ruhe
+	On the closeness of eigenvalues and singular values for almost normal matrices	1975	Axel Ruhe
+	SOR-Methods for the Eigenvalue Problem with Large Sparse Matrices	1974	Axel Ruhe
+	Iterative Eigenvalue Algorithms for Large Symmetric Matrices	1974	Axel Ruhe
+ PDF Chat	𝑆𝑂𝑅-methods for the eigenvalue problem with large sparse matrices	1974	Axel Ruhe
+	Algorithms for the Nonlinear Eigenvalue Problem	1973	Axel Ruhe
+	The method of conjugate gradients used in inverse iteration	1972	Axel Ruhe Torbjörn Wiberg
+	Perturbation bounds for means of eigenvalues and invariant subspaces	1970	Axel Ruhe
+	Properties of a matrix with a very ill-conditioned eigenproblem	1970	Axel Ruhe
+	On the quadratic convergence of a generalization of the Jacobi Method to arbitrary matrices	1968	Axel Ruhe
+	On the quadratic convergence of the Jabobi method for normal matrices	1967	Axel Ruhe

Common Coauthors

Coauthor	Papers Together
Henk van der Vorst	2
Bo Kågström	2
K. Henrik A. Olsson	2
Torbjörn Wiberg	1
Sven Hammarling	1
Ran Li	1
Zhaojun Bai	1
Zheng‐Jian Bai	1
Richard B. Lehoucq	1
Jack Dongarra	1
James Demmel	1
Gérard L. G. Sleijpen	1
Thomas Ericsson	1
Jacques Huitfeldt	1
Robert M. Freund	1
Ming Gu	1
D. C. Sorensen	1
Herman Wold	1
Svante Wold	1
William J. Dunn	1
Per Åke Wedin	1
M G Cox	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	An iteration method for the solution of the eigenvalue problem of linear differential and integral operators	1950	Cornelius Lanczos	6
+	Rational Krylov: A Practical Algorithm for Large Sparse Nonsymmetric Matrix Pencils	1998	Axel Ruhe	5
+	New iterative methods for solution of the eigenproblem	1966	W. W. Bradbury R. Fletcher	4
+	Bounds for iterates, inverses, spectral variation and fields of values of non-normal matrices	1962	Peter Henrici	4
+	Iterative Eigenvalue Algorithms for Large Symmetric Matrices	1974	Axel Ruhe	4
+	The rational Krylov algorithm for nonsymmetric eigenvalue problems. III: Complex shifts for real matrices	1994	Axel Ruhe	4
+	Templates for the Solution of Algebraic Eigenvalue Problems: A Practical Guide	1987	James Demmel Jack Dongarra Axel Ruhe Henk van der Vorst Zhaojun Bai	4
+	Methods of conjugate gradients for solving linear systems	1952	Magnus R. Hestenes Eduard Stiefel	4
+ PDF Chat	Computing invariant subspaces of a general matrix when the eigensystem is poorly conditioned	1970	J. M. Varah	3
+	Note on the quadratic convergence of the cyclic Jacobi process	1962	J. H. Wilkinson	3
+	Complex shift and invert strategies for real matrices	1987	Beresford Ν. Parlett Yousef Saad	3
+	The method of conjugate gradients used in inverse iteration	1972	Axel Ruhe Torbjörn Wiberg	3
+	Algorithms for Separable Nonlinear Least Squares Problems	1980	Axel Ruhe Per Åke Wedin	3
+ PDF Chat	Reorthogonalization and stable algorithms for updating the Gram-Schmidt 𝑄𝑅 factorization	1976	Jemma Daniel William B. Gragg Linda Kaufman G. W. Stewart	3
+	Accelerated Gauss-Newton algorithms for nonlinear least squares problems	1979	Axel Ruhe	3
+	A comparison of some algorithms for the nonlinear least squares problem	1977	Håkan Ramsin Per-Åke Wedin	3
+	On the asymptotic directions of thes-dimensional optimum gradient method	1968	George E. Forsythe	3
+	On the convergence of the Rayleigh quotient iteration for the computation of the characteristic roots and vectors. I	1957	Alexander Ostrowski	3
+ PDF Chat	A Procedure for the Diagonalization of Normal Matrices	1959	Herman H. Goldstine L. P. Horwitz	3
+	Computation of eigenvalues and eigenvectors	1977	Axel Ruhe	2
+	Relaxation methods for an eigenproblem	1966	W. Kahan	2
+	Iterative eigenvalue algorithms based on convergent splittings	1975	Axel Rune	2
+	The Rotation of Eigenvectors by a Perturbation. III	1970	Chandler Davis W. Kahan	2
+	Lanz: Software Solving the Large Sparse Symmetric Generalized Eigenproblem	1990	Mark T. Jones Merrell L. Patrick	2
+ PDF Chat	The principle of minimized iterations in the solution of the matrix eigenvalue problem	1951	Walter E. Arnoldi	2
+	Properties of a matrix with a very ill-conditioned eigenproblem	1970	Axel Ruhe	2
+	Solving linear least squares problems by Gram-Schmidt orthogonalization	1967	Åke Björck	2
+ PDF Chat	Perturbation Theory for Linear Operators	1995	Tosio Kato	2
+	Algorithms for the Nonlinear Eigenvalue Problem	1973	Axel Ruhe	2
+ PDF Chat	LSQR: An Algorithm for Sparse Linear Equations and Sparse Least Squares	1982	Christopher C. Paige Michael A. Saunders	2
+	The Collinearity Problem in Linear Regression. The Partial Least Squares (PLS) Approach to Generalized Inverses	1984	Svante Wold Axel Ruhe Herman Wold William J. Dunn	2
+	On the quadratic convergence of the Jacobi method for normal matrices	1972	George Loizou	2
+	On the quadratic convergence of the special cyclic Jacobi method	1966	H. P. M. van Kempen	2
+	The Symmetric Eigenvalue Problem	1998	Beresford Ν. Parlett	2
+	Perturbation bounds for means of eigenvalues and invariant subspaces	1970	Axel Ruhe	2
+	An Algorithm for Generalized Matrix Eigenvalue Problems	1973	C Moler G. W. Stewart	2
+	Large Sparse Sets of Linear Equations	1973	A. S. H. John Reid	2
+	Evaluation of eigensolutions of discrete space diffusion equation	1967	G. Buffoni	2
+ PDF Chat	Estimates for some computational techniques in linear algebra	1966	Shmuel Kaniel	2
+	Über ein leichtes Verfahren, die in der Theorie der Sacularstorungen vorkommenden Gleichungen numerisch aufzulosen	2013	Carl Gustav Jacob Jacobi Karl Weierstrass	2
+	The Solution of Large Sparse Unsymmetric Systems of Linear Equations	1971	A. R. Curtis John Reid	2
+	A mimmax theory for overdamped systems	1964	E. Rogers	2
+	On the quadratic convergence of the Jabobi method for normal matrices	1967	Axel Ruhe	2
+	Rational Krylov sequence methods for eigenvalue computation	1984	Axel Ruhe	2
+	Numerical Path Following and Eigenvalue Criteria for Branch Switching	1986	Yong Feng Zhou Axel Rune	2
+	A Jacobi-Like Method for the Automatic Computation of Eigenvalues and Eigenvectors of an Arbitrary Matrix	1962	P. J. Eberlein	2
+ PDF Chat	The cyclic Jacobi method for computing the principal values of a complex matrix	1960	George E. Forsythe Peter Henrici	2
+	Generalized Cross-Validation as a Method for Choosing a Good Ridge Parameter	1979	Gene H. Golub Michael T. Heath Grace Wahba	2
+	A Shifted Block Lanczos Algorithm for Solving Sparse Symmetric Generalized Eigenproblems	1994	Roger G. Grimes John G. Lewis Horst D. Simon	2
+	A Krylov--Schur Algorithm for Large Eigenproblems	2002	G. W. Stewart	2