Publications of Peter Benner
All genres
Journal Article (314)
2004
Journal Article
Benner, P. (2004)Solving Large-Scale Control ProblemsIEEE Control Systems Magazine, 24 (1), 44–59doi: 10.1109/MCS.2004.1272745.
2003
Journal Article
Benner, P., , & (2003)The Kleinman Iteration for Nonstabilizable SystemsMathematics of Control, Signals and Systems, 19 (1), 76–93doi: 10.1007/s00498-003-0130-z.
Journal Article
Benner, P., , & (2003)Structure Preservation: A Challenge in Computational ControlFuture Generation Computer Systems, 19 (7), 1243–1252doi: 10.1016/S0167-739X(03)00049-9.
Journal Article
Benner, P., , & (2003)Parallel Algorithms for Model Reduction of Discrete-Time SystemsInternational Journal of Systems Science, 34 (5), 319–333doi: 10.1080/0020772031000158564.
Journal Article
Benner, P., , & (2003)State-Space Truncation Methods for Parallel Model Reduction of Large-Scale SystemsParallel Computing, 29 (11-12), 1701–1722doi: 10.1016/j.parco.2003.05.013.
2002
Journal Article
Benner, P., , , , & (2002)Parallel Algorithms for LQ Optimal Control of Discrete-Time Periodic Linear SystemsJournal of Parallel and Distributed Computing, 62 (2), 306–325doi: 10.1006/jpdc.2001.1790.
Journal Article
Benner, P., , , & (2002)Numerical Computation of Deflating Subspaces of Skew-Hamiltonian/Hamiltonian PencilsSIAM Journal on Matrix Analysis and Applications, 24 (1), 165–190doi: 10.1137/S0895479800367439.
Journal Article
Benner, P., , & (2002)Perturbation Analysis for the Eigenvalue Problem of a Formal Product of MatricesBIT Numerical Mathematics, 42 (1), 1–43doi: 10.1023/A:1021966001542.
Journal Article
Benner, P., , & (2002)Numerical Solution of Discrete Stable Linear Matrix Equations on MulticomputersParallel Algorithms and Applications, 17 (2), 127–146doi: 10.1080/10637190208941436.
2001
Journal Article
Benner, P. (2001)On a Numerical Method for the Regularization of Descriptor SystemsZeitschrift für Angewandte Mathematik und Mechanik, 81 (S3), S707–S708doi: 10.1002/zamm.200108115129.
Journal Article
Benner, P. (2001)Symplectic Balancing of Hamiltonian MatricesSIAM Journal on Scientific Computing, 22 (5), 1885–1904doi: 10.1137/S1064827500367993.
Journal Article
Benner, P. & (2001)Evaluating Products of Matrix Pencils and Collapsing Matrix ProductsNumerical Linear Algebra with Applications, 8 (6-7), 357–380doi: 10.1002/nla.251.
Journal Article
Benner, P. & (2001)A Hybrid Method for the Numerical Solution of Discrete-Time Algebraic Riccati EquationsContemporary Mathematics, 280, 255–269.
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Benner, P. & (2001)Computing Roots of Matrix ProductsZeitschrift für angewandte Mathematik und Mechanik, 81 (S3), S717–S718doi: 10.1002/zamm.200108115134.
Journal Article
Benner, P. & (2001)An Implicitly Restarted Symplectic Lanczos Method for the Symplectic Eigenvalue ProblemSIAM Journal on Matrix Analysis and Applications, 22 (3), 682–713doi: 10.1137/S0895479898343115.
Journal Article
Benner, P., , & (2001)Efficient Numerical Algorithms for Balanced Stochastic TruncationInternational Journal of Applied Mathematics and Computer Science, 11 (5), 1123–1150.
2000
Journal Article
Benner, P., , & (2000)Algorithm 800: Fortran 77 Subroutines for Computing the Eigenvalues of Hamiltonian Matrices I: The Square-Reduced MethodACM Transactions on Mathematical Software, 26 (1), 49–77doi: 10.1145/347837.347852.
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Benner, P., , , , & (2000)Cholesky-like Factorizations of Skew-Symmetric MatricesElectronic Transactions on Numerical Analysis, 11, 85–93.
Journal Article
Benner, P., , , & (2000)Solving Algebraic Riccati Equations on Parallel Computers Using Newton's Method with Exact Line SearchParallel Computing, 26 (10), 1345–1368doi: 10.1016/S0167-8191(00)00012-0.
Journal Article
Benner, P., , , & (2000)Parallel Partial Stabilizing Algorithms for Large Linear Control SystemsThe Journal of Supercomputing, 15 (2), 193–206doi: 10.1023/A:1008108004247.