• TR10-32: A State Space Error Estimate for POD-DEIM Nonlinear Model Reduction
    Saifon Chaturantabut and Danny C. Sorensen

  • TR10-08: Efficient Numerical Methods for Least-Norm Regularization
    D.C. Sorensen and M. Rojas

  • TR09-26: Accelerating the LSTRS Algorithm
    J. Lampe, M. Rojas, D.C. Sorensen, and H. Voss

  • TR09-25: Application of POD and DEIM to Dimension Reduction of Nonlinear Miscible Viscous Fingering in Porous Media
    Saifon Chaturantabut and Danny C. Sorensen

  • Tech-Report: Domain Decomposition and Model Reduction for the Numerical Solution of PDE Constrained Optimization Problems with Localized Optimization Variables
    H. Antil, M. Heinkenschloss, R. Hoppe, and D.C. Sorensen

  • TR09-16: A Parameter Free ADI-like Method for the Numerical Solution of Large Scale Lyapunov Equations
    Ryan Nong and Danny C. Sorensen

  • TR09-13: P-Splines Using Derivative Information
    Christopher P. Calderon, Josue G. Martinez, Raymond J. Carroll, and Danny C. Sorensen

  • TR09-12: Morphologically Accurate Reduced Order Modeling of Spiking Neurons
    Anthony R. Kellems, Saifon Chaturantabut, Danny C. Sorensen, and Steven J. Cox

  • TR09-05: Discrete Empirical Interpolation for Nonlinear Model Reduction
    Saifon Chaturantabut and Danny C. Sorensen

  • TR08-17: Numerical Methods for Modeling Atomistic Trajectories with Diffusion SDEs
    Christopher P. Calderon, Josue G. Martinez, Raymond J. Carroll, and Danny C. Sorensen

  • TR08-04: A Quadratically Constrained Minimization Problem Arising from PDE of Monge-Ampére Type
    D.C. Sorensen and Roland Glowinski

  • TR07-17: Best Symmetric Low Rank Approximation Via the Symmetry Preserving Singular Value Decomposition
    Mili I. Shah and Danny C. Sorensen

  • TR07-14: Domain Decomposition and Model Reduction of Systems with Local Nonlinearities
    K. Sun, R. Glowinski, M. Heinkenschloss, and D. C. Sorensen

  • TR07-02: Balanced Truncation Model Reduction for a Class of Descriptor Systems with Application to the Oseen Equations
    Matthias Heinkenschloss, Danny C. Sorensen, and Kai Sun

  • TR06-09: Parallel Solution of Large-Scale Free Surface Viscoelastic Flows Via Sparse Approximate Inverse Preconditioning
    Z. Castillo, X. Xie, D.C. Sorensen, M. Embree, and M. Pasquali

  • TR06-09: Parallel Solution of Large-Scale Free Surface Viscoelastic Flows Via Sparse Approximate Inverse Preconditioning
    Z. Castillo, X. Xie, D.C. Sorensen, M. Embree, and M. Pasquali

  • TR06-04: Simulating Nanoscale Functional Motions of Biomolecules
    W. Wriggers, Z. Zhang, M. Shah, and D.C. Sorensen

  • TR05-01: A Symmetry Preserving Singular Value Decomposition
    M. Shah and D.C. Sorensen

  • TR04-17: Gramians of Structured Systems and an Error Bound for Structure-Preserving Model Reduction
    D.C. Sorensen and A.C Antoulas

  • TR03-08: Convergence of Polynomial Restart Krylov Methods for Eigenvalue Computation
    Christopher A. Beattie, Mark Embree, and D. C. Sorensen

  • TR02-17: Solving the Inverse Problem of Electrocardiography Using a Duncan and Horn Formulation of the Kalman Filter
    K.L. Berrier, D.C. Sorensen and D.S. Khoury

  • TR02-15: Passivity Preserving Model Reduction via Interpolation of Spectral Zeros
    D.C. Sorensen

  • TR02-14: Approximate Implicit Subspace Iteration with Alternating Directions for LTI system Model Reduction
    Y. Zhou and D.C. Sorensen

  • TR02-07: Bounds on Eigenvalue Decay Rates and Sensitivity of Solutions to Lyapunov Equations
    D.C. Sorensen and Y. Zhou

  • TR01-10: A Modified Low-Rank Smith Method for Large-Scale Lyapunov Equations
    A.C. Antoulas, D.C. Sorensen, and S. Gugercin

  • TR01-09: On the Decay Rate of Hankel Singular Values and Related Issues
    A.C. Antoulas, D.C. Sorensen, and Y. Zhou

  • TR01-03: Projection Methods for Balanced Model Reduction
    D.C. Sorensen and A.C. Antoulas

  • TR01-02: An Efficient Algorithm for Calculating the Heat Capacity of a Large-scale Molecular System
    C. Yang, D.W. Noid, B.G. Sumpter, D.C. Sorensen, and R.E. Tuzun

  • TR01-01: Approximation of Large-scale Dynamical Systems: An Overview
    A.C. Antoulas and D.C. Sorensen

  • TR00-38: A Survey of Model Reduction Methods For Large-Scale Systems
    A. C. Antoulas, D. C. Sorensen, and S. Gugercin

  • TR00-13: Lyapunov, Lanczos, and Inertia
    A.C. Antoulas and D.C. Sorensen

  • TR00-05: Low Rank Solution of Lyapunov Equations by Implicit Restarting
    D.C. Sorensen

  • TR99-26: A Trust-Region Approach to the Regularization of Large-Scale Discrete Ill-Posed Problems
    M. Rojas and D.C. Sorensen

  • TR99-19: A New Matrix-Free Algorithm for the Large-Scale Trust-Region Subproblem
    A.C. Antoulas and D.C. Sorensen

  • TR98-12: Deflation for Implicitly Restarted Arnoldi Methods
    D.C. Sorensen

  • TR98-01: Truncated QZ Methods for Large Scale Generalized Eigenvalue Problems
    D.C. Sorensen

  • TR97-29: Accelerating the Lanczos Algorithm via Polynomial Spectral Transformations.
    D.C. Sorensen and C. Yang

  • TR97-28: Computational Experience with a Preconditioner for Interior Point Methods for Linear Programming
    A.R.L. Oliveira and D.C. Sorensen

  • TR97-27: A New Class of Preconditioners for Large-Scale Linear Systems from Interior Point Methods for Linear Programmming
    A.R.L. Oliviera and D.C. Sorensen

  • TR96-33: P_ARPACK: An Efficient Portable Large Scale Eigenvalue Package for Distributed Memory Parallel Architectures
    K. J. Maschhoff and D.C Sorensen

  • TR96-06: A Truncated RQ-iteration for Large Scale Eigenvalue Calculations
    D.C. Sorensen and C. Yang

  • TR96-04: Numerical Computation of the Linear Stability of the Diffusion Model for Crystal Growth Simulation
    C. Yang, D.C. Sorensen, D.I. Meiron and B. Wedeman

  • TR95-20: A New Matrix-Free Algorithm for the Large-Scale Trust-Region Subproblem
    S.A. Santos and D.C. Sorensen

  • TR94-27: Minimization of Large Scale Quadratic Function Subject to an Ellipsoidal Constraint
    D.C. Sorensen

  • TR94-21: Model Reduction of State Space Systems via an Implicitly Restarted Lanczos Method
    E.J. Grimme, D.C. Sorensen and P. Van Dooren

  • TR94-13: Deflation Techniques for an Implicitly Restarted Arnoldi Iteration
    R.B. Lehoucq and D.C. Sorensen

  • TR94-10: Parallelizing Sylvester-like Operations on a Distributed Memory Computer
    D.Y. Hu and D.C. Sorensen

  • TR90-30: An Implementation of a Divide and Conquer Algorithm for the Unitary Eigenproblem
    G.S. Ammar, L. Reichel and D.C. Sorensen

  • TR90-27: Implicit Application of Polynomial Filters in a k-Step Arnoldi Method
    D.C. Sorensen