Henk A. Van Der Vorst
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Henk A. Van Der Vorstmathematics Degrees
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Mathematics
Henk A. Van Der Vorst's Degrees
- PhD Mathematics Utrecht University
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(Suggest an Edit or Addition)Henk A. Van Der Vorst's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems (1992) (5290)
- An iterative solution method for linear systems of which the coefficient matrix is a symmetric -matrix (1977) (1738)
- Templates for the Solution of Algebraic Eigenvalue Problems (2000) (1586)
- A Jacobi-Davidson Iteration Method for Linear Eigenvalue Problems (1996) (1040)
- Solving linear systems on vector and shared memory computers (1990) (535)
- Numerical Linear Algebra for High-Performance Computers (1998) (511)
- Iterative solution of linear systems in the 20th century (2000) (481)
- Model Order Reduction: Theory, Research Aspects and Applications (2014) (480)
- Eigenvalue computation in the 20th century (2000) (379)
- The rate of convergence of Conjugate Gradients (1986) (378)
- Jacobi-Davidson Style QR and QZ Algorithms for the Reduction of Matrix Pencils (1998) (358)
- Jacobi-davidson type methods for generalized eigenproblems and polynomial eigenproblems (1995) (349)
- GMRESR: a family of nested GMRES methods (1994) (346)
- Guidelines for the usage of incomplete decompositions in solving sets of linear equations as they occur in practical problems (1981) (336)
- Approximate solutions and eigenvalue bounds from Krylov subspaces (1995) (324)
- Numerical solution of large, sparse linear algebraic systems arising from tomographic problems (1987) (253)
- A Petrov-Galerkin type method for solving Axk=b, where A is symmetric complex (1990) (212)
- The superlinear convergence behaviour of GMRES (1993) (205)
- An iterative solution method for solving f ( A ) x = b , using Krylov subspace information obtained for the symmetric positive definite matrix A (1987) (196)
- High Performance Preconditioning (1989) (169)
- Numerical methods for the QCDd overlap operator. I. Sign-function and error bounds (2002) (161)
- Parallel numerical linear algebra (1993) (159)
- Reducing the effect of global communication in GMRES( m ) and CG on parallel distributed memory computers (1995) (141)
- A Vectorizable Variant of some ICCG Methods (1982) (140)
- Iterative solution methods for certain sparse linear systems with a non-symmetric matrix arising from PDE-problems☆ (1981) (132)
- Developments and trends in the parallel solution of linear systems (1999) (124)
- Large tridiagonal and block tridiagonal linear systems on vector and parallel computers (1987) (116)
- BiCGstab(l) and other hybrid Bi-CG methods (1994) (115)
- SIRT- and CG-type methods for the iterative solution of sparse linear least-squares problems (1990) (110)
- Computational methods for large eigenvalue problems (2002) (109)
- EFFICIENT EXPANSION OF SUBSPACES IN THE JACOBI-DAVIDSON METHOD FOR STANDARD AND GENERALIZED EIGENPROBLEMS (1998) (98)
- Maintaining convergence properties of BiCGstab methods in finite precision arithmetic (1995) (90)
- Reliable updated residuals in hybrid Bi-CG methods (1996) (87)
- Jacobi-Davidson style QR and QZ algorithms for the partial reduction of matrix pencils (1996) (82)
- Accelerated Inexact Newton Schemes for Large Systems of Nonlinear Equations (1998) (77)
- Cracking large-scale eigenvalue problems, part I: algorithms (1996) (73)
- The performance of FORTRAN implementations for preconditioned conjugate gradients on vector computers (1986) (67)
- The convergence behavior of ritz values in the presence of close eigenvalues (1987) (66)
- The convergence behaviour of preconditioned CG and CG-S in the presence of rounding errors (1991) (65)
- Quadratic eigenproblems are no problem (1996) (65)
- Numerical Algorithms (2002) (63)
- Residual Replacement Strategies for Krylov Subspace Iterative Methods for the Convergence of True Residuals (2000) (61)
- Generalized conjugate gradient squared (1996) (59)
- 150 years old and still alive: eigenproblems (1997) (58)
- Differences in the Effects of Rounding Errors in Krylov Solvers for Symmetric Indefinite Linear Systems (2000) (57)
- The Jacobi-Davidson method for eigenvalue problems and its relation with accelerated inexact Newton scheme (1995) (54)
- Conjugate gradient type methods and preconditioning (1988) (52)
- A comparison of some GMRES-like methods (1992) (50)
- A parallel linear system solver for circuit simulation problems (2000) (47)
- ICCG and related methods for 3D problems on vector computers (1989) (47)
- Parallel incomplete factorizations with pseudo-overlapped subdomains (2001) (46)
- Parallel Iterative Solution Methods for Linear Systems arising from Discretized PDE's (1995) (40)
- Data transport in Wang's partition method (1988) (37)
- An overview of approaches for the stable computation of hybrid BiCG methods (1995) (37)
- Alternatives to the Rayleigh Quotient for the Quadratic Eigenvalue Problem (2003) (36)
- Analysis of a parallel solution method for tridiagonal linear systems (1987) (33)
- Vectorization of Linear Recurrence Relations (1989) (33)
- Krylov subspace iteration (2000) (32)
- Efficient and reliable iterative methods for linear systems (2002) (32)
- Closer to the solutions: iterative linear solvers (1997) (32)
- Application of the Implicitly Updated Arnoldi Method with a Complex Shift-and-Invert Strategy in MHD (1995) (30)
- A generalized Lánczos scheme (1982) (29)
- Linear System Solvers: Sparse Iterative Methods (1997) (27)
- A generalized domain decomposition paradigm for parallel incomplete LU factorization preconditionings (2001) (23)
- Recent advances in numerical methods and applications II (1999) (22)
- Spectral analysis of parallel incomplete factorizations with implicit pseudo-overlap (2002) (22)
- An improvement of Davidson's iteration method: Applications to MRCI and MRCEPA calculations (1996) (21)
- Stability control for approximate implicit timestepping schemes with minimal residual iterations (1999) (20)
- Performance of various computers using standard sparse linear equations solving techniques (1993) (19)
- Hybrid Bi-Conjugate Gradient Methods For CFD Problems (1995) (18)
- Iterative methods for the solution of large systems of equations on supercomputers (1990) (18)
- Solving 3D block bidiagonal linear systems on vector computers (1989) (16)
- Parallel Arnoldi Method for the Construction of a Krylov Subspace Basis: an Application in Magnetohydrodynamics (1994) (16)
- Transpose-free formulations of Lanczos-type methods for nonsymmetric linear systems (2004) (15)
- An iterative solver benchmark (2001) (15)
- Nonlinear Eigenvalue Problems (2000) (14)
- The effect of incomplete decomposition preconditioning on the convergence of conjugate gradients (1992) (14)
- Recent Developments in Hybrid CG Methods (1994) (13)
- Computing Probabilistic Bounds for Extreme Eigenvalues of Symmetric Matrices with the Lanczos Method (2001) (12)
- Common Issues (2000) (12)
- Years old and still alive : eigenproblems (12)
- 1. High-Performance Computing (1998) (12)
- Solution of f(A)x = b with projection methods for the matrix A (2000) (11)
- ParIC: A Family of Parallel Incomplete Cholesky Preconditioners (2000) (11)
- Parallel Algorithms for Numerical Linear Algebra (1990) (11)
- M) ICCG for 2D problems on vectorcomputers (1987) (11)
- Templates for Linear Algebra Problems (1995) (10)
- Parallel preconditioning for sparse linear equations (1995) (10)
- A comparative study of numerical methods for the overlap Dirac operator—a status report (2001) (9)
- Fast Iterative Methods for Large Linear Systems. (1978) (9)
- GMRESR : A family of nested GMRES methods Report 91-80 (1991) (9)
- The Convergence of Krylov Methods and Ritz Values (2004) (9)
- Low-dimensional Krylov subspace iterations for enhancing stability of time-step integration schemes (1997) (9)
- Linear System Solvers: Sparse iterative solvers (1997) (9)
- Computational e-Science: Studying complex systems in silico. A National Coordinated Initiative. White Paper. (2007) (8)
- A parallel nearly implicit time-stepping scheme (2001) (8)
- Jacobi-Davidson algorithms for various eigenproblems : a working document (1999) (8)
- A Parallelizable GMRES-type Method for p-cyclic Matrices, with Applications in Circuit Simulation (2001) (8)
- Cracking large-scale eigenvalue problems, part II: implementations (1996) (8)
- Parallel Magnetohydrodynamics on the CM-5 (1994) (7)
- 2. Iterative Methods (1994) (7)
- On the Relation between ART, Block-ART and SIRT (1992) (6)
- Linear Algebraic Solvers and Eigenvalue Analysis (2004) (6)
- The Jacobi-Davidson method for eigenvalue problems as an accelerated inexact Newton scheme (1995) (6)
- Approximated implicit time-stepping schemes in a distributed memory parallel environment (1998) (6)
- Lecture notes on iterative methods (1994) (5)
- Generalized Hermitian Eigenvalue Problems (2000) (5)
- Subspace Iteration for Eigenproblems (1996) (5)
- Hermitian Eigenvalue Problems (2000) (4)
- The main effects of rounding errors in Krylov solvers for symmetric linear systems (1997) (4)
- Generalized Non-Hermitian Eigenvalue Problems (2000) (4)
- An optimized Schwarz method in the Jacobi-Davidson method for eigenvalue problems (2003) (4)
- Numerical analysis 2000 - Vol. III: Linear algebra (2000) (4)
- Non-Hermitian Eigenvalue Problems (2000) (4)
- A Quasi-Newton Interior Point Method for Low Order H-Infinity Controller Synthesis (2011) (4)
- Parallel solution of bidiagonal systems coming from discretised PDEs (1988) (4)
- Further Improvements in Nonsymmetric Hybrid Iterative Methods (1993) (4)
- A Parallelizable and Fast Algorithm for Very Large Generalized Eigenproblems (1996) (4)
- PARALLEL LINEAR SYSTEMS SOLVERS: SPARSE ITERATIVE METHODS (1996) (4)
- Modern methods for the iterative computation of eigenpairs of matrices of high dimension (2004) (3)
- Linear algebra : linear systems and eigenvalues (2000) (3)
- Proceedings of the 4th international conference on Supercomputing (1990) (3)
- Maintaining convergence properties of BiCGstab methods in nite precision arithmeticGERARD (1994) (3)
- Krylov subspace methods for large linear systems of equations (1993) (2)
- Parallel aspects of iterative methods (1994) (2)
- Parallel Algorithms for Numerical Linear Algebra : Advances in Parallel Computing (1990) (2)
- 5. Building Blocks in Linear Algebra (1998) (2)
- How to write a frequently cited article (2004) (2)
- 4. Related Issues (1994) (2)
- A preconditioned Jacobi-Davidson method for solving large generalized memory machines (1994) (1)
- JACOBI-DAVIDSON STYLE QR AND QZ ALGORITHMS FOR THEPARTIAL REDUCTION OF MATRIX (1996) (1)
- Topic 11: Numerical Algorithms (2001) (1)
- Parallel Numerical Algorithms (T. L. Freeman and C. Phillips) (1994) (1)
- Parallelism in CG-like Methods (1995) (1)
- Preconditioning for eigenproblems (1999) (1)
- A preconditioned tchebycheff iterative solution method for certain large sparse linear systems with a non-symmetric matrix (1982) (1)
- MINIMUM RESIDUAL MODIFICATIONS TO BI-CG AND TO THE PRECONDITIONER (1994) (1)
- 2002 Copper Mountain Conference (2001) (1)
- Iterative Solution Methods for Large, Sparse Systems of Linear Equations Arising from Tomographic Image Reconstruction (1991) (1)
- 1. g Iterative solution of linear systems in the 20th century, Pages 1-33 (2003) (1)
- 2. Overview of Current High-Performance Computers (1998) (1)
- SUBSPACE ITERATION METHODS WITH PRECONDITIONING FOR EIGENVALUES OF VERY LARGE MATRICES (1999) (1)
- Computational science curriculum in Utrecht (1995) (0)
- Topic Introduction (2003) (0)
- hp-Adaptive finite element methods for the Maxwell equations (2004) (0)
- Subspace acceleration and preconditioning for large sparse linear systems (2001) (0)
- Copper Mountain Special Issue on Iterative Methods (2003) (0)
- THE MAIN EFFECTS OF ROUNDING ERRORS IN KRYLOVSOLVERS FOR SYMMETRIC LINEAR (1997) (0)
- Solution Methods for Large Sparse Linear Systems. (1983) (0)
- LINEAR SYSTEM SOLVERS : SPARSE ITERATIVE METHODSHenk (1997) (0)
- Z.C. Li. Combined methods for elliptic equations with singularities, interfaces and infinities. Dordrecht: Kluwer, 1998. 476 p., prijs NLG 395,– (Mathematics and its Applications; 444). ISBN 0-7923-5084-7 (2000) (0)
- University of Groningen Singular Value Analysis and Balanced Realizations for Nonlinear Systems (2008) (0)
- 3. Implementation Details and Overhead (1998) (0)
- 5. Remaining Topics (1994) (0)
- An iterative solver benchmark 1 (2014) (0)
- LAPACK Working Note UT CS Parallel numerical linear algebra (1997) (0)
- 8. Iterative Methods for Linear Systems (1998) (0)
- 11. The Generalized Eigenproblem (1998) (0)
- SIMPLE METHOD FOR THE CONSTRUCTION OF SPLINES WITH PIECEWISE PRE-DESCRIBED SURFACES OVER GIVEN INTERVALS. (1972) (0)
- 0 11 01 98 v 1 2 5 O ct 2 00 1 A comparative study of numerical methods for the overlap Dirac operator — a status report BUGHW-SC 2001 / 6 WUB 01-12 (2001) (0)
- Topic 11 Numerical Algorithms and Scientific Engineering Problems (2003) (0)
- Solution of singular systems (2003) (0)
- 7. Krylov Subspaces: Projection (1998) (0)
- cient expansion of subspaces in theJacobi-Davidson method for standardand generalized eigenproblemsbyG (1998) (0)
- 4. Performance: Analysis, Modeling, and Measurements (1998) (0)
- CALCULATION OF THE COMPLEMENTARY ERROR-FUNCTION AND ITS INVERSE. (1971) (0)
- The Jacobi-Davidson Method for Eigenvalue andGeneralized Eigenvalue (1996) (0)
- Solution of f (A)x = b with Krylov subspace information (2003) (0)
- Jacobi’s Ideas on Eigenvalue Computation in a modern context (2006) (0)
- Chapter 19 Linear Algebraic Solvers and Eigenvalue Analysis (2004) (0)
- Numerical determination of wave attractors (2001) (0)
- THE JACOBI-DAVIDSON METHOD FOR EIGENVALUE PROBLEMSAND ITS RELATION WITH ACCELERATED INEXACT (1996) (0)
- Numerical algorithms in bio-informatics (2004) (0)
- Preconditioning and ParallelPreconditioning 1 (1998) (0)
- G. Meurant. Computer solution of large linear systems (Studies in Mathematics and its Applications; 28). Amsterdam: Elsevier, 1999 753 p., prijs NLG 295,- ISBN 0-444-50169-X (2000) (0)
- Bi-Conjugate Gradients (2003) (0)
- 6. Direct Solution of Sparse Linear Systems (1998) (0)
- An Overview of Approaches for the StableComputation of Hybrid BiCG (1995) (0)
- Parallel incomplete factorizations withpseudo-overlapped subdomainsMardoch (2000) (0)
- Linear Systems, Eigenvalues, and Projection (2008) (0)
- Solution of Linear Systems (2005) (0)
- Special Issue 2000 Copper Mountain Conference (2001) (0)
- BiCGstab ( ` ) : an E cient and Surprisingly Stable Solver ofNonsymmetric Linear (2007) (0)
- RAL-TR-1998-052 Preconditioning and Parallel Preconditioning 1 (1998) (0)
- REVIEWS AND DESCRIPTIONS OF TABLES AND BOOKS (1990) (0)
- Iterative Methods for Unsymmetric Linear Systems (1996) (0)
- 10. Linear Eigenvalue Problems Ax=λx (1998) (0)
- Jacobi-davidson Methods for Symmetric Eigenproblems (2007) (0)
- Spectral analysis of parallel incomplete (2000) (0)
- Sensitivity of computational models with PDEs (2004) (0)
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