A mathematical biography of Danny C. Sorensen

DOI10.1016/j.laa.2012.01.031zbMath1238.01104OpenAlexW2001341909WikidataQ57431955 ScholiaQ57431955MaRDI QIDQ413518

Peter Benner, Mark Embree, Richard B. Lehoucq, Carl. T. Kelley

Publication date: 7 May 2012

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2012.01.031

Mathematics Subject Classification ID

Biographies, obituaries, personalia, bibliographies (01A70)

Uses Software

• LAPACK
• eigs
• ARPACK
• LSTRS
• GQTPAR
• IRAM

Cites Work

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• A Divide and Conquer method for the symmetric tridiagonal eigenproblem
• Variations on Arnoldi's method for computing eigenelements of large unsymmetric matrices
• Rank-one modification of the symmetric eigenproblem
• Asymptotic waveform evaluation via a Lanczos method
• An implicit restarted Lanczos method for large symmetric eigenvalue problems
• On the decay rate of Hankel singular values and related issues
• An `empirical interpolation' method: Application to efficient reduced-basis discretization of partial differential equations
• Block reduction of matrices to condensed forms for eigenvalue computations
• A modified low-rank Smith method for large-scale Lyapunov equations
• Model reduction of state space systems via an implicitly restarted Lanczos method
• Dimension reduction of large-scale systems. Proceedings of a workshop, Oberwolfach, Germany, October 19--25, 2003.
• Algorithms for model reduction of large dynamical systems
• Passivity preserving model reduction via interpolation of spectral zeros
• A new result on passivity preserving model reduction
• A New Matrix-Free Algorithm for the Large-Scale Trust-Region Subproblem
• Balanced Truncation Model Reduction of Large-Scale Dense Systems on Parallel Computers
• A Trust-Region Approach to the Regularization of Large-Scale Discrete Forms of Ill-Posed Problems
• Nonlinear Model Reduction via Discrete Empirical Interpolation
• Inverse Iteration for Purely Imaginary Eigenvalues with Application to the Detection of Hopf Bifurcations in Large-Scale Problems
• Accelerating the LSTRS Algorithm
• Minimization of a Large-Scale Quadratic FunctionSubject to a Spherical Constraint
• Chebyshev Acceleration Techniques for Solving Nonsymmetric Eigenvalue Problems
• Computing a Trust Region Step
• Numerical methods for large eigenvalue problems
• Algorithm 873
• A Fully Parallel Algorithm for the Symmetric Eigenvalue Problem
• LAPACK Users' Guide
• Newton’s Method with a Model Trust Region Modification
• On the Orthogonality of Eigenvectors Computed by Divide-and-Conquer Techniques
• Implicit Application of Polynomial Filters in a k-Step Arnoldi Method
• Reorthogonalization and Stable Algorithms for Updating the Gram-Schmidt QR Factorization
• Numerical Linear Algebra for High-Performance Computers
• A Truncated RQ Iteration for Large Scale Eigenvalue Calculations
• A Parallel Algorithm for Computing the Singular Value Decomposition of a Matrix
• A Divide-and-Conquer Algorithm for the Symmetric Tridiagonal Eigenproblem
• ARPACK Users' Guide
• Model reduction methods based on Krylov subspaces
• A Cyclic Low-Rank Smith Method for Large Sparse Lyapunov Equations
• Deflation Techniques for an Implicitly Restarted Arnoldi Iteration
• Convergence of Polynomial Restart Krylov Methods for Eigenvalue Computations
• Application of POD and DEIM on dimension reduction of non-linear miscible viscous fingering in porous media
• Some Modified Matrix Eigenvalue Problems
• Approximation of Large-Scale Dynamical Systems
• The principle of minimized iterations in the solution of the matrix eigenvalue problem

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