Publications

2014

• Multi-Scale Spectral Decomposition of Massive Graphs (pdf, software)
  S. Si, D. Shin, I. Dhillon, B. Parlett.
  In Neural Information Processing Systems (NIPS), pp. 2798-2806, December 2014.

2006

• The Design and Implementation of the MRRR Algorithm (pdf, software)
  I. Dhillon, B. Parlett, C. Vömel.
  ACM Transactions on Mathematical Software 32(4), pp. 533-560, December 2006.

2005

• Glued Matrices and the MRRR Algorithm (pdf, software)
  I. Dhillon, B. Parlett, C. Vömel.
  SIAM Journal on Scientific Computing 27(2), pp. 496-510, October 2005.

2004

• Multiple Representations to Compute Orthogonal Eigenvectors of Symmetric Tridiagonal Matrices (pdf, software)
  I. Dhillon, B. Parlett.
  Linear Algebra and its Applications 387, pp. 1-28, August 2004.
• Orthogonal Eigenvectors and Relative Gaps (pdf, software)
  I. Dhillon, B. Parlett.
  SIAM Journal of Matrix Analysis and Applications (SIMAX) , pp. 858-899, March 2004.

2000

• Relatively Robust Representations for Symmetric Tridiagonals (pdf, software)
  B. Parlett, I. Dhillon.
  Linear Algebra and its Applications 309, pp. 121-151, November 2000.

1997

• Application of a New Algorithm for the Symmetric Eigenproblem to Computational Quantum Chemistry (pdf, software)
  I. Dhillon, G. Fann, B. Parlett.
  In SIAM Conference on Parallel Processing for Scientific Computing, March 1997.
• Fernando’s Solution to Wilkinson’s Problem: An Application of Double Factorization (pdf, software)
  B. Parlett, I. Dhillon.
  Linear Algebra and its Applications, pp. 247-279, 1997.