On the use of directions of negative curvature in a modified newton method. - Jorge J. Moré; Danny C. Sorensen (Math. Program., 1979)

A note on the computation of an orthonormal basis for the null space of a matrix. - Thomas F. Coleman; Danny C. Sorensen (Math. Program., 1984)

Buffering for vector performance on a pipelined MIMD machine. - Danny C. Sorensen (Parallel Comput., 1984)

A fast algorithm for the symmetric eigenvalue problem. - Jack J. Dongarra; Danny C. Sorensen (IEEE Symposium on Computer Arithmetic, 1985)

A fully parallel algorithm for the symmetric eigenvalue problem. - Jack J. Dongarra; Danny C. Sorensen (PP, 1985)

Analysis of Pairwise Pivoting in Gaussian Elimination. - Danny C. Sorensen (IEEE Trans. Computers, 1985)

Implementation of some concurrent algorithms for matrix factorization. - Jack J. Dongarra; Ahmed H. Sameh; Danny C. Sorensen (Parallel Comput., 1986)

SCHEDULE: An Environment for Developing Transportable Explicitly Parallel Codes in Fortran-Abstract. - Jack J. Dongarra; Danny C. Sorensen (PP, 1987)

A Divide and Conquer Algorithm for Computing the Singular Value Decomposition. - Elizabeth R. Jessup; Danny C. Sorensen (PP, 1987)

A portable environment for developing parallel FORTRAN programs. - Jack J. Dongarra; Danny C. Sorensen (Parallel Comput., 1987)

Tools to aid in the analysis of memory access patterns for FORTRAN programs. - Orlie Brewer; Jack J. Dongarra; Danny C. Sorensen (Parallel Comput., 1988)

Programming methodology and performance issues for advanced computer architectures. - Jack J. Dongarra; Danny C. Sorensen; Kathryn Connolly; Jim Patterson (Parallel Comput., 1988)

A graphics tool to aid in the generation of parallel FORTRAN programs. - Orlie Brewer; Jack J. Dongarra; Danny C. Sorensen (COMPSAC, 1989)

LAPACK: a portable linear algebra library for high-performance computers. - Edward C. Anderson; Zhaojun Bai; Jack J. Dongarra; Anne Greenbaum; A. McKenney; Jeremy Du Croz; Sven Hammarling; James Demmel; Christian H. Bischof; Danny C. Sorensen (SC, 1990)

The SCHEDULE Parallel Programming Package with Recycling Job Queues and Iterated Dependency Graphs. - Floyd B. Hanson; Danny C. Sorensen (Concurr. Pract. Exp., 1990)

Solving linear systems on vector and shared memory computers. - Jack J. Dongarra; Iain S. Duff; Danny C. Sorensen; Henk A. van der Vorst (SIAM, 1991)

Implicit Application of Polynomial Filters in a k-Step Arnoldi Method. - Danny C. Sorensen (SIAM J. Matrix Anal. Appl., 1992)

An implementation of a divide and conquer algorithm for the unitary eigen problem. - Greg S. Ammar; Lothar Reichel; Danny C. Sorensen (ACM Trans. Math. Softw., 1992)

Crpc Research Into Linear Algebra Software for High Performance Computers. - Jaeyoung Choi; Jack J. Dongarra; Roldan Pozo; Danny C. Sorensen; David W. Walker (Int. J. High Perform. Comput. Appl., 1994)

Corrigendum: Algorithm 730; An implementation of a divide and conquer algorithm for the unitary eigenproblem. - Greg S. Ammar; Lothar Reichel; Danny C. Sorensen (ACM Trans. Math. Softw., 1994)

A Parallel Algorithm for Computing the Singular Value Decomposition of a Matrix. - Elizabeth R. Jessup; Danny C. Sorensen (SIAM J. Matrix Anal. Appl., 1994)

P_ARPACK: An Efficient Portable Large Scale Eigenvalue Package for Distributed Memory Parallel Architectures. - Kristyn J. Maschhoff; Danny C. Sorensen (PARA, 1996)

Model reduction of state space systems via an implicitly restarted Lanczos method. - Eric James Grimme; Danny C. Sorensen; Paul Van Dooren (Numer. Algorithms, 1996)

Deflation Techniques for an Implicitly Restarted Arnoldi Iteration. - Richard B. Lehoucq; Danny C. Sorensen (SIAM J. Matrix Anal. Appl., 1996)

Minimization of a Large-Scale Quadratic FunctionSubject to a Spherical Constraint. - Danny C. Sorensen (SIAM J. Optim., 1997)

ARPACK users' guide - solution of large-scale eigenvalue problems with implicitly restarted Arnoldi methods. - Richard B. Lehoucq; Danny C. Sorensen; Chao Yang (SIAM, 1998)

A Truncated RQ Iteration for Large Scale Eigenvalue Calculations. - Danny C. Sorensen; C. Yang (SIAM J. Matrix Anal. Appl., 1998)

LAPACK Users' Guide, Third Edition - Edward C. Anderson; Zhaojun Bai; Christian H. Bischof; L. Susan Blackford; James Demmel; Jack J. Dongarra; Jeremy Du Croz; Anne Greenbaum; Sven Hammarling; A. McKenney; Danny C. Sorensen (SIAM, 1999)

Non-Hermitian Eigenvalue Problems. - T. Chen; James Demmel; Ming Gu 002; Yousef Saad; Richard B. Lehoucq; Danny C. Sorensen; Kristyn J. Maschhoff; Zhaojun Bai; David Day; Roland W. Freund; Gerard L. G. Sleijpen; Henk A. van der Vorst; et al. (Templates for the Solution of Algebraic Eigenvalue Problems, 2000)

Hermitian Eigenvalue Problems. - Ming Gu 002; Axel Ruhe; Richard B. Lehoucq; Danny C. Sorensen; Roland W. Freund; Gerard L. G. Sleijpen; Henk A. van der Vorst; Zhaojun Bai; Ruipeng Li (Templates for the Solution of Algebraic Eigenvalue Problems, 2000)

An Introduction to Iterative Projection Methods. - Yousef Saad; Richard B. Lehoucq; Danny C. Sorensen (Templates for the Solution of Algebraic Eigenvalue Problems, 2000)

A New Matrix-Free Algorithm for the Large-Scale Trust-Region Subproblem. - Marielba Rojas; Sandra A. Santos 001; Danny C. Sorensen (SIAM J. Optim., 2001)

On the decay rate of Hankel singular values and related issues. - Athanasios C. Antoulas; Danny C. Sorensen; Yunkai Zhou (Syst. Control. Lett., 2002)

A Trust-Region Approach to the Regularization of Large-Scale Discrete Forms of Ill-Posed Problems. - Marielba Rojas; Danny C. Sorensen (SIAM J. Sci. Comput., 2002)

A Modified Low-Rank Smith Method for Large-Scale Lyapunov Equations. - Serkan Gugercin; Danny C. Sorensen; Athanasios C. Antoulas (Numer. Algorithms, 2003)

Model Reduction of Large-Scale Dynamical Systems. - Athanasios C. Antoulas; Danny C. Sorensen; Kyle A. Gallivan; Paul Van Dooren; Ananth Grama; Christoph Hoffmann; Ahmed H. Sameh (International Conference on Computational Science, 2004)

Solving the inverse problem of electrocardiography using a Duncan and Horn formulation of the Kalman filter. - Keith L. Berrier; Danny C. Sorensen; Dirar S. Khoury (IEEE Trans. Biomed. Eng., 2004)

Principle Component Analysis and Model Reduction for Dynamical Systems with Symmetry Constraints. - Mili I. Shah; Danny C. Sorensen (CDC/ECC, 2005)

Passivity preserving model reduction via interpolation of spectral zeros. - Danny C. Sorensen (Syst. Control. Lett., 2005)

Convergence of Polynomial Restart Krylov Methods for Eigenvalue Computations. - Christopher A. Beattie; Mark Embree; Danny C. Sorensen (SIAM Rev., 2005)

Large power grid analysis using domain decomposition. - Quming Zhou; Kai Sun; Kartik Mohanram; Danny C. Sorensen (DATE, 2006)

A Symmetry Preserving Singular Value Decomposition. - Mili I. Shah; Danny C. Sorensen (SIAM J. Matrix Anal. Appl., 2006)

An educational perspective to model and controller reduction of dynamical systems. - Eduardo Gildin; Robert H. Bishop; Athanasios C. Antoulas; Danny C. Sorensen (CDC, 2007)

Parallel domain decomposition for simulation of large-scale power grids. - Kai Sun; Quming Zhou; Kartik Mohanram; Danny C. Sorensen (ICCAD, 2007)

The Approximation and Computation of a Basis of the Trace Space H 1/2. - Petr Kloucek; Danny C. Sorensen; Jennifer L. Wightman (J. Sci. Comput., 2007)

Approximate implicit subspace iteration with alternating directions for LTI system model reduction. - Yunkai Zhou; Danny C. Sorensen (Numer. Linear Algebra Appl., 2008)

Balanced Truncation Model Reduction for a Class of Descriptor Systems with Application to the Oseen Equations. - Matthias Heinkenschloss; Danny C. Sorensen; Kai Sun (SIAM J. Sci. Comput., 2008)

Algorithm 873:: LSTRS: MATLAB software for large-scale trust-region subproblems and regularization. - Marielba Rojas; Sandra A. Santos 001; Danny C. Sorensen (ACM Trans. Math. Softw., 2008)

Discrete Empirical Interpolation for nonlinear model reduction. - Saifon Chaturantabut; Danny C. Sorensen (CDC, 2009)

Best Nonspherical Symmetric Low Rank Approximation. - Mili I. Shah; Danny C. Sorensen (SIAM J. Matrix Anal. Appl., 2009)

Domain decomposition and model reduction for the numerical solution of PDE constrained optimization problems with localized optimization variables. - Harbir Antil; Matthias Heinkenschloss; Ronald H. W. Hoppe; Danny C. Sorensen (Comput. Vis. Sci., 2010)

Morphologically accurate reduced order modeling of spiking neurons. - Anthony R. Kellems; Saifon Chaturantabut; Danny C. Sorensen; Steven J. Cox (J. Comput. Neurosci., 2010)

P-Splines Using Derivative Information. - Christopher P. Calderon; Josue G. Martinez; Raymond J. Carroll; Danny C. Sorensen (Multiscale Model. Simul., 2010)

Erratum: P-Splines Using Derivative Information. - Christopher P. Calderon; Josue G. Martinez; Raymond J. Carroll; Danny C. Sorensen (Multiscale Model. Simul., 2010)

A quadratically constrained minimization problem arising from PDE of Monge-Ampère type. - Danny C. Sorensen; Roland Glowinski (Numer. Algorithms, 2010)

Nonlinear Model Reduction via Discrete Empirical Interpolation. - Saifon Chaturantabut; Danny C. Sorensen (SIAM J. Sci. Comput., 2010)

Accelerating the LSTRS Algorithm. - Jörg Lampe; Marielba Rojas; Danny C. Sorensen; Heinrich Voss (SIAM J. Sci. Comput., 2011)

Parallel Numerical Computing from Illiac IV to Exascale - The Contributions of Ahmed H. Sameh. - Kyle A. Gallivan; Efstratios Gallopoulos; Ananth Grama; Bernard Philippe; Eric Polizzi; Yousef Saad; Faisal Saied; Danny C. Sorensen (High-Performance Scientific Computing, 2012)

A State Space Error Estimate for POD-DEIM Nonlinear Model Reduction. - Saifon Chaturantabut; Danny C. Sorensen (SIAM J. Numer. Anal., 2012)

Model Reduction of Strong-Weak Neurons. - Steven J. Cox; Bosen Du; Danny C. Sorensen (Frontiers Comput. Neurosci., 2014)

A Posteriori Error Estimation for DEIM Reduced Nonlinear Dynamical Systems. - Daniel Wirtz; Danny C. Sorensen; Bernard Haasdonk (SIAM J. Sci. Comput., 2014)

Model order reduction of parameterized systems (MoRePaS) - Preface to the special issue of advances in computational mathematics. - Peter Benner; Mario Ohlberger; Anthony T. Patera; Gianluigi Rozza; Danny C. Sorensen; Karsten Urban (Adv. Comput. Math., 2015)

A DEIM Induced CUR Factorization. - Danny C. Sorensen; Mark Embree (SIAM J. Sci. Comput., 2016)

Finding representative electrocardiogram beat morphologies with CUR. - Emily P. Hendryx; Beatrice M. Riviere; Danny C. Sorensen; Craig G. Rusin (J. Biomed. Informatics, 2018)