Ding Lu

(I have moved to UC Davis since Dec 2018)

Ding Lu, Ph.D. Section of Mathematics, University of Geneva. Address 2-4 rue du Lievre CH-1211 Geneva, Switzerland Tel. ++41 22 379 11 67 Email Ding.Lu@unige.ch Homepage http://www.unige.ch/~dlu

About

I am currently a postdoctoral researcher at the Section of Mathematics, University of Geneva. I obtained my Ph.D at Fudan University in 2015. Part of my thesis was done during my visit to the University of California at Davis (2012.10–2014.3).

Research interests

My research interest is in numerical algorithms. Currently, I am focusing on developing novel, efficient and reliable methods for algebraic eigenvalue, and eigenvalue related problems. Robust solvers for these problems are the backbone of present-day computations in scientific research and engineering.

Preprints

• Nonlinear eigenvector methods for convex minimization over the numerical range
  technical report (submitted), 2018. (preprint)

• A globally convergent method to compute the real stability radius for time-delay systems
  with Francesco Borgioli, Wim Michiels, and Bart Vandereycken,
  technical report (8 pages, submitted), 2018. (Manuscript available upon request.)

Publications

• Robust Rayleigh quotient minimization and nonlinear eigenvalue problems
  with Zhaojun Bai and Bart Vandereycken,
  SIAM J. Sci. Comput., 2018. 40(5):A3495–A3522. (paper, MATLAB code)

• Subspace acceleration for the Crawford number and related eigenvalue optimization problems
  with Daniel Kressner and Bart Vandereycken,
  SIAM J. Matrix Anal. Appl., 2018. 39(2):961–982. (preprint, MATLAB code)

• Criss-cross type algorithms for computing the real pseudospectral abscissa
  with Bart Vandereycken,
  SIAM J. Matrix Anal. Appl., 2017. 38(3):891–923. (paper, RealPSPA package)

• Stability Analysis of the two-level orthogonal Arnoldi procedure
  with Yangfeng Su and Zhaojun Bai,
  SIAM J. Matrix Anal. Appl., 2016. 37(1): 195–214. (paper, MATLAB code)

• A Pade approximate linearization algorithm for solving the quadratic eigenvalue problem with low-rank damping
  with Xin Huang, Zhaojun Bai, and Yangfeng Su,
  Int. J. Numer. Methods Eng., 2015. 103(11): 840–858. (paper, PALM package)

Codes and Software

• RobustRQ: Robust Rayleigh quotient minimization by solving nonlinear eigenvalue problems (NEPv). See details here.

• RealPSPA: Criss-Cross methods for computing Real PseudoSpectral Abscissa. See details here.

• TOAR: A Two-level Orthogonal ARnoldi procedure to compute compact Arnoldi decomposition, and the orthogonal basis of second order Krylov subspace. See details here.

• PALM: A Pade Approximate Linearization Method to solve quadratic eigenvalue problems with low-rank damping matrix. See details here.

Education

• Ph.D. Computational Mathematics, Fudan University, June 2015.

• B.S. Mathematics, Fudan University, June 2010.