Publications of Peter Benner
All genres
Journal Article (314)
2008
Journal Article
& Benner, P. (2008)Cross-Gramian Based Model Reduction for Data-Sparse SystemsElectronic Transactions on Numerical Analysis, 31, 256–270.
Journal Article
& Benner, P. (2008)Gramian-Based Model Reduction for Data-Sparse SystemsSIAM Journal on Scientific Computing, 31 (1), 776–798doi: 10.1137/070711578.
Journal Article
Benner, P., , & (2008)Solving Large-Scale Quadratic Eigenvalue Problems with Hamiltonian Eigenstructure using a Structure-Preserving Krylov Subspace MethodElectronic Transactions on Numerical Analysis, 29, 212–229.
Journal Article
Benner, P., , & (2008)Numerical Solution of Large Lyapunov Equations, Riccati Equations, and Linear-Quadratic Control ProblemsNumerical Linear Algebra with Applications, 15 (9), 755–777doi: 10.1002/nla.622.
Journal Article
Benner, P., , & (2008)On the Parameter Selection Problem in the Newton-ADI Iteration for Large-Scale Riccati EquationsElectronic Transactions on Numerical Analysis, 29, 136–149.
Journal Article
Benner, P., , & (2008)Solving Linear-Quadratic Optimal Control Problems on Parallel ComputersOptimization Methods and Software, 23 (6), 879–909doi: 10.1080/10556780802058721.
2007
Journal Article
, Benner, P., & (2007)Parallel Solution of Large-Scale Algebraic Bernoulli Equations with the Matrix Sign Function MethodNumerical Algorithms, 46 (4), 351–368doi: 10.1007/s11075-007-9143-x.
Journal Article
Benner, P., , , & (2007)A Robust Numerical Method for the γ-Iteration in H∞ ControlLinear Algebra and its Applications, 425 (2-3), 548–570doi: 10.1016/j.laa.2007.03.026.
Journal Article
Benner, P., , , , & (2007)Stabilizing Large-Scale Generalized Systems on Parallel Computers Using Multithreading and Message-PassingConcurrency and Computation: Practice and Experience, 19 (4), 531–542doi: 10.1002/cpe.1148.
Journal Article
Benner, P. & (2007)On the Solution of the Rational Matrix EquationEURASIP Journal on Advances in Signal Processing, 021850 doi: 10.1155/2007/21850.
Journal Article
, Benner, P., & (2007)Evaluation of the Linear Matrix Equation Solvers in SLICOTJournal of Numerical Analysis, Industrial and Applied Mathematics, 2 (1-2), 11–34.
2006
Journal Article
& Benner, P. (2006)Factorized Solution of Lyapunov Equations Based on Hierarchical Matrix ArithmeticComputing, 78 (3), 211–234doi: 10.1007/s00607-006-0178-y.
Journal Article
Benner, P. (2006)Numerical Linear Algebra for Model Reduction in Control and SimulationGAMM-Mitteilungen, 29 (2), 275–296doi: 10.1002/gamm.201490034.
Journal Article
Benner, P. & (2006)An Arithmetic for Matrix Pencils: Theory and New AlgorithmsNumerische Mathematik, 103 (4), 539–573doi: 10.1007/s00211-006-0001-x.
Journal Article
Benner, P. & (2006)Numerische Methoden zur passivitätserhaltenden Modellreduktion (Numerical Methods for Passivity Preserving Model Reduction)at - Automatisierungstechnik, 54 (4), 153–160doi: 10.1524/auto.2006.54.4.153.
Journal Article
Benner, P. & (2006)Algorithm 854: Fortran 77 Subroutines for Computing the Eigenvalues of Hamiltonian MatricesACM Transactions on Mathematical Software, 32 (2), 352–373doi: 10.1145/1141885.1141895.
Journal Article
Benner, P. & (2006)Balancing Sparse Hamiltonian EigenproblemsLinear Algebra and its Applications, 415 (1), 3–19doi: 10.1016/j.laa.2004.09.023.
Journal Article
Benner, P., , & (2006)Solving Stable Sylvester Equations via Rational Iterative SchemesJournal of Scientific Computing, 28 (1), 51–83doi: 10.1007/s10915-005-9007-2.
Journal Article
Benner, P. & (2006)Partial Realization of Descriptor SystemsSystems & Control Letters, 55 (11), 929–938doi: 10.1016/j.sysconle.2006.06.009.
2005
Journal Article
Benner, P., , & (2005)Partial Stabilization of Large-Scale Discrete-Time Linear Control SystemsInternational Journal of Computational Science and Engineering, 1 (1), 15–21doi: 10.1504/IJCSE.2005.008907.