D
Danny C. Sorensen
Researcher at Rice University
Publications - 143
Citations - 19684
Danny C. Sorensen is an academic researcher from Rice University. The author has contributed to research in topics: Eigenvalues and eigenvectors & Lanczos resampling. The author has an hindex of 51, co-authored 143 publications receiving 18338 citations. Previous affiliations of Danny C. Sorensen include Argonne National Laboratory & University of Kentucky.
Papers
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MonographDOI
ARPACK Users' Guide: Solution of Large-Scale Eigenvalue Problems with Implicitly Restarted Arnoldi Methods
TL;DR: The Arnoldi factorization, the implicitly restarted Arnoldi method: structure of the Eigenvalue problem Krylov subspaces and projection methods, and more.
Journal ArticleDOI
Nonlinear Model Reduction via Discrete Empirical Interpolation
TL;DR: A dimension reduction method called discrete empirical interpolation is proposed and shown to dramatically reduce the computational complexity of the popular proper orthogonal decomposition (POD) method for constructing reduced-order models for time dependent and/or parametrized nonlinear partial differential equations (PDEs).
Journal ArticleDOI
Computing a Trust Region Step
Jorge J. Moré,Danny C. Sorensen +1 more
TL;DR: An algorithm for the problem of minimizing a quadratic function subject to an ellipsoidal constraint is proposed and it is shown that this algorithm is guaranteed to produce a nearly optimal solution in a finite number of iterations.
Journal ArticleDOI
Implicit application of polynomial filters in a k-step Arnoldi method
TL;DR: The iterative scheme is shown to be a truncation of the standard implicitly shifted QR-iteration for dense problems and it avoids the need to explicitly restart the Arnoldi sequence.
Journal ArticleDOI
Numerical methods for large eigenvalue problems
TL;DR: Over the past decade considerable progress has been made towards the numerical solution of large-scale eigenvalue problems, particularly for nonsymmetric matrices, and the methods and software that have led to these advances are surveyed.