Horst D. Simon

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All published works

Action	Title	Year	Authors
+	Low-rank approximations with sparse factors II: penalized methods with discrete Newton-like iterations	2011	Horst D. Simon
+	nu-TRLan User Guide Version 1.0: A High-Performance Software Package for Large-Scale Harmitian Eigenvalue Problems	2008	Ichitaro Yamazaki Kesheng Wu Horst D. Simon
+ PDF Chat	Adaptive Projection Subspace Dimension for the Thick-Restart Lanczos Method	2008	Ichitaro Yamazaki Zhaojun Bai Horst D. Simon Lin‐Wang Wang K Wu
+	Low-Rank Approximations with Sparse Factors II: Penalized Methods with Discrete Newton-Like Iterations	2004	Zhenyue Zhang Hongyuan Zha Horst D. Simon
+ PDF Chat	Low-Rank Approximations with Sparse Factors I: Basic Algorithms and Error Analysis	2002	Zhenyue Zhang Hongyuan Zha Horst D. Simon
+ PDF Chat	Bipartite graph partitioning and data clustering	2001	Hongyuan Zha Xiaofeng He Chris Ding Horst D. Simon Ming Gu
+	Bipartite graph partitioning and data clustering	2001	Hongyuan Zha Xiaofeng He Chris Ding Ming Gu Horst D. Simon
+	Bipartite graph partitioning and data clustering	2001	Hongyuan Zha Xiaofeng He Chris Ding Ming Gu Horst D. Simon
+ PDF Chat	Thick-Restart Lanczos Method for Large Symmetric Eigenvalue Problems	2000	Kesheng Wu Horst D. Simon
+	Low-Rank Matrix Approximation Using the Lanczos Bidiagonalization Process with Applications	2000	Horst D. Simon Hongyuan Zha
+ PDF Chat	A parallel Lanczos method for symmetric generalized eigenvalue problems	1999	Kesheng Wu Horst D. Simon
+	Thick-Restart Laczos Method for Symmetric Eigenvalue Problems	1999	Kesheng Wu Horst D. Simon
+	A Fast Poisson Solver for the Finite Difference Solution of the Incompressible Navier--Stokes Equations	1998	Gene H. Golub Lan Chieh Huang Horst D. Simon Wei-Pai Tang
+	Thick-Restart Lanczos Method for Symmetric EigenvalueProblems	1998	Kesheng Wu Horst D. Simon
+	Low rank matrix approximation using the Lanczos Bidiagonalization Process	1997	Horst D. Simon
+	Spectral ordering techniques for incomplete LU preconditoners for CG methods	1995	Simon S. Clift Horst D. Simon Wei-Pai Tang
+ PDF Chat	A spectral algorithm for envelope reduction of sparse matrices	1995	Stephen T. Barnard Alex Pothen Horst D. Simon
+	A fast Poisson solver for unsteady incompressible Navier-Stokes equations on the half-staggered grid	1995	Gene H. Golub Lan Chieh Huang Horst D. Simon Wei-Pai Tang
+	A Shifted Block Lanczos Algorithm for Solving Sparse Symmetric Generalized Eigenproblems	1994	Roger G. Grimes John G. Lewis Horst D. Simon
+	NAS parallel benchmark results	1993	David H. Bailey Eric Barszcz Leonardo Dagum Horst D. Simon
+	Towards a fast implementation of spectral nested dissection	1992	Alex Pothen Horst D. Simon L. Wang S. Barnard
+	Aerodynamic simulation on massively parallel systems	1992	J. Haeuser Horst D. Simon
+	The high enthalpy shock tunnel in Göttingen (HEG)	1992	Walter Beck G. Eitelberg Timothy J. McIntyre J. P. Baird John Lacey Horst D. Simon
+	The NAS parallel benchmarks---summary and preliminary results	1991	David H. Bailey Robert Schreiber Horst D. Simon V. N. Venkatakrishnan Sisira Weeratunga Eric Barszcz J. T. Barton D. S. Browning R. L. Carter Leonardo Dagum
+	Preface to the Special Section on Sparse Matrices	1990	John G. Lewis John R. Gilbert Robert J. Plemmons Horst D. Simon
+	Partitioning Sparse Matrices with Eigenvectors of Graphs	1990	Alex Pothen Horst D. Simon K. N. Liou
+	A Shifted Block Lanczos Algorithm 1: The Block Recurrence	1990	Roger G. Grimes John G. Lewis Horst D. Simon
+	Spectral Algorithms for Ordering Sparse Matrices in Parallel	1989	Alex Pothen Horst D. Simon
+	Bisection is not Optimal on Vector Processors	1989	Horst D. Simon
+	Solution of large, dense symmetric generalized eigenvalue problems using secondary storage	1988	Roger G. Grimes Horst D. Simon
+	Two Conjugate-Gradient-Type Methods for Unsymmetric Linear Equations	1988	Michael A. Saunders Horst D. Simon E. L. Yip
+	New software for large dense symmetric generalized eigenvalue problems using secondary storage	1988	Roger G. Grimes Horst D. Simon
+	The Impact of Hardware Gather/Scatter on Sparse Gaussian Elimination	1988	John G. Lewis Horst D. Simon
+	Progress in Sparse Matrix Methods for Large Linear Systems On Vector Supercomputers	1987	Cleve Ashcraft Roger G. Grimes John G. Lewis Barry W. Peyton Horst D. Simon Petter E. Bjørstad
+	Evaluation of Orderings for Unsymmetric Sparse Matrices	1987	A. M. Erisman Roger G. Grimes John G. Lewis William G. Poole Horst D. Simon
+	The Impact of Hardware Gather/Scatter on Sparse Gaussian Elimination.	1986	John G. Lewis Horst D. Simon
+	Eigenvalue Problems and Algorithms in Structural Engineering	1986	Roger G. Grimes John G. Lewis Horst D. Simon
+	The lanczos algorithm for solving symmetric linear systems	1982	Horst D. Simon

Common Coauthors

Coauthor	Papers Together
John G. Lewis	8
Roger G. Grimes	7
Hongyuan Zha	6
Kesheng Wu	5
Alex Pothen	4
Wei-Pai Tang	3
Xiaofeng He	3
Ming Gu	3
David H. Bailey	2
Zhenyue Zhang	2
Leonardo Dagum	2
Chris Ding	2
Gene H. Golub	2
Lan Chieh Huang	2
Ichitaro Yamazaki	2
Eric Barszcz	2
V. N. Venkatakrishnan	1
John Lacey	1
L. Wang	1
Cleve Ashcraft	1
Simon S. Clift	1
Sisira Weeratunga	1
Robert J. Plemmons	1
Lin‐Wang Wang	1
Chris Ding	1
John R. Gilbert	1
A. M. Erisman	1
S. Barnard	1
Stephen T. Barnard	1
J. P. Baird	1
K. N. Liou	1
J. T. Barton	1
William G. Poole	1
Petter E. Bjørstad	1
R. A. Fatoohi	1
K Wu	1
T. A. Lasinski	1
E. L. Yip	1
Timothy J. McIntyre	1
Walter Beck	1
P. O. Frederickson	1
Robert Schreiber	1
R. L. Carter	1
D. S. Browning	1
J. Haeuser	1
Michael A. Saunders	1
G. Eitelberg	1
Barry W. Peyton	1
Zhaojun Bai	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	The Symmetric Eigenvalue Problem	1998	Beresford Ν. Parlett	9
+ PDF Chat	Sparse matrix test problems	1989	Iain Duff Roger G. Grimes John G. Lewis	5
+	A Shifted Block Lanczos Algorithm for Solving Sparse Symmetric Generalized Eigenproblems	1994	Roger G. Grimes John G. Lewis Horst D. Simon	4
+ PDF Chat	Algebraic connectivity of graphs	1973	Miroslav Fiedler	4
+ PDF Chat	A property of eigenvectors of nonnegative symmetric matrices and its application to graph theory	1975	Miroslav Fiedler	4
+	Progress in Sparse Matrix Methods for Large Linear Systems On Vector Supercomputers	1987	Cleve Ashcraft Roger G. Grimes John G. Lewis Barry W. Peyton Horst D. Simon Petter E. Bjørstad	3
+	Error Analysis of the Lanczos Algorithm for Tridiagonalizing a Symmetric Matrix	1976	Christopher C. Paige	3
+	Sparse matrix test problems	1982	Iain Duff Roger G. Grimes John G. Lewis Bill Poole	3
+	A Fully Parallel Algorithm for the Symmetric Eigenvalue Problem	1987	Jack Dongarra D. C. Sorensen	3
+	The lanczos algorithm for solving symmetric linear systems	1982	Horst D. Simon	3
+	Direct Methods for Sparse Matrices	2017	Iain Duff A. M. Erisman J. K. Reid	3
+	An Algorithm for $Ax = \lambda Bx$ with Symmetric and Positive-Definite <i>A</i> and <i>B</i>	1991	Wang Shougen Shu-Qin Zhao	2
+	Generalizations of Davidson’s Method for Computing Eigenvalues of Sparse Symmetric Matrices	1986	Ronald B. Morgan David Scott	2
+ PDF Chat	LSQR: An Algorithm for Sparse Linear Equations and Sparse Least Squares	1982	Christopher C. Paige Michael A. Saunders	2
+	An Algorithm for Generalized Matrix Eigenvalue Problems	1973	C Moler G. W. Stewart	2
+	Low-Rank Matrix Approximation Using the Lanczos Bidiagonalization Process with Applications	2000	Horst D. Simon Hongyuan Zha	2
+	THE LAPLACIAN SPECTRUM OF GRAPHS y	1991	Bojan Mohar	2
+ PDF Chat	On restarting the Arnoldi method for large nonsymmetric eigenvalue problems	1996	Ronald B. Morgan	2
+	Eigenvalue Problems and Algorithms in Structural Engineering	1986	Roger G. Grimes John G. Lewis Horst D. Simon	2
+	An Algorithm for the Banded Symmetric Generalized Matrix	1993	Linda Kaufman	2
+	Partitioning Sparse Matrices with Eigenvectors of Graphs	1990	Alex Pothen Horst D. Simon K. N. Liou	2
+ PDF Chat	Eigenvalues in Combinatorial Optimization	1993	Bojan Mohar Svatopluk Poljak	2
+	An iteration method for the solution of the eigenvalue problem of linear differential and integral operators	1950	Cornelius Lanczos	2
+	The Advantages of Inverted Operators in Rayleigh–Ritz Approximations	1982	David Scott	2
+	A Lanczos Algorithm for Computing Singular Values and Vectors of Large Matrices	1983	Jane Cullum Ralph A. Willoughby Mark Lake	2
+	On the Perturbation of Pseudo-Inverses, Projections and Linear Least Squares Problems	1977	G. W. Stewart	2
+	The Symmetric Eigenvalue Problem.	1981	J. H. Wilkinson Beresford Ν. Parlett	2
+	A block Arnoldi-Chebyshev method for computing the leading eigenpairs of large sparse unsymmetric matrices	1993	Miloud Sadkane	1
+	Some History of the Conjugate Gradient and Lanczos Algorithms: 1948–1976	1989	Gene H. Golub Dianne P. O’Leary	1
+	A FAST, STABLE IMPLEMENTATION OF THE SIMPLEX METHOD USING BARTELS-GOLUB UPDATING††Research for this paper was supported by the Energy Research and Development Administration Contract AT(04-3)-326 PA #18, at Stanford University.	1976	Michael A. Saunders	1
+	Eigenvalues, diameter, and mean distance in graphs	1991	Bojan Mohar	1
+	Analysis and implementation of an implicitly restarted Arnoldi iteration	1996	Richard B. Lehoucq	1
+ PDF Chat	Deflation Techniques for an Implicitly Restarted Arnoldi Iteration	1996	Richard B. Lehoucq D. C. Sorensen	1
+ PDF Chat	Modelling Reactive Gas Flows within Shock Tunnels	1984	I. Vardavas	1
+	Design of an Axisymmetric, Contoured Nozzle for the HEG.	1990	Klaus Hannemann	1
+	High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method	1982	Urmila Ghia K. N. Ghia C. T. Shin	1
+	Solution of Sparse Indefinite Systems of Linear Equations	1975	Christopher C. Paige Michael A. Saunders	1
+	On the Rates of Convergence of the Lanczos and the Block-Lanczos Methods	1980	Yousef Saad	1
+ PDF Chat	Eigenvalues and expanders	1986	Ilan Alon	1
+	Hypersonic and high temperature gas dynamics	2013	J. D. Anderson	1
+	A Structurally Stable Modification of Hellerman–Rarick’s ${\text{P}}^4 $ Algorithm for Reordering Unsymmetric Sparse Matrices	1985	A. M. Erisman Roger G. Grimes John G. Lewis William G. Poole	1
+	On the Optimality of the Median Cut Spectral Bisection Graph Partitioning Method	1997	Tony F. Chan Patrick Ciarlet W. K. Szeto	1
+ PDF Chat	Matrices, Digraphs, and Determinants	1989	John S. Maybee D.D. Olesky Driessche P. van den Gerry Wiener	1
+	Thermodynamic Properties of Air	1987	V.V. Sychen A.A. Vassekman A. D. Kozlov G. A. Spiridonov V.A. Tsymakny	1
+	A block Lanczos algorithm for computing the q algebraically largest eigenvalues and a corresponding eigenspace of large, sparse, real symmetric matrices	1974	Jane Cullum W. E. Donath	1
+ PDF Chat	Eigenvalues of the Laplacian of a graph<sup>∗</sup>	1985	William N. Anderson T. D. Morley	1
+ PDF Chat	Krylov subspace methods for solving large unsymmetric linear systems	1981	Yousef Saad	1
+	Computational Methods for Fluid Flow	1983	R. Peyret Thomas D. Taylor	1
+	A new look at the Lanczos algorithm for solving symmetric systems of linear equations	1980	Beresford Ν. Parlett	1
+	A spectral approach to bandwidth and separator problems in graphs	1995	Christoph Helmberg Franz Rendl Bojan Mohar Svatopluk Poljak	1