SCIENTIFIC COMPUTING GROUP
Department of Electrical and Computer Engineering,
University of California, Santa Barbara
- "A fast memory efficient construction algorithm for hierarchically semi-separable representations," by K. Lessel, M. Hartman and S. Chandrasekaran, submitted for publication, 2015.
- "On the numerical rank of the off-diagonal blocks of Schur complements of discretized elliptic PDEs" by S. Chandrasekaran, P. Dewilde, M. Gu and N. Somasunderam, in SIAM J. Matrix Anal. Appl. Vol. 31, No. 5, pp. 2261–2290
- Introductory talk on HSS representations and algorithms.
- "A Fast Solver for HSS Representations via Sparse Matrices" by S. Chandrasekaran, P. Dewilde, M. Gu, W. Lyons, and T. Pals, in SIAM. J. Matrix Anal. & Appl. 29 67 (2006).
- "Superfast Multifrontal Method for Large Structured Linear Systems of Equations," J. Xia, S. Chandrasekaran, M. Gu and X. S. Li.
- "A Fast ULV Decomposition Solver for Hierarchically Semiseparable Representations," S. Chandrasekaran, M. Gu and T. Pals.
- "Some Fast Algorithms for Sequentially Semiseparable Representations," S. Chandrasekaran, P. Dewilde, M. Gu, T. Pals, X. Sun, A.J. Van Der Veen and D. White.
- "Fast and Stable Algorithms for Banded plus Semiseparable Systems of Linear Equations," S. Chandrasekaran and M. Gu.
- "Fast Algorithms with Applications to PDEs," Ph.D. thesis of William Lyons.
- "Multipole for Scattering Computations: Spectral Discretization,Stabilization, Fast Solvers" Ph.D. thesis of Timothy Pals.
- "A Hierarchical Semi-separable Moore-Penrose Equation Solver,"by Patrick Dewilde and Shivkumar Chandrasekaran, in Operator Theory: Advances and Applications, Vol. 167, 69-85, 2006.
- "A Fast QR Algorithm for Companion Matrices," by Shivkumar Chandrasekaran, Ming Gu, Jianlin Xia and Jiang Zhu, in Operator Theory: Advances and Applications, Vol. 179, 111-143, 2007.
- "Algorithms to Solve Hierarchically Semi-separable Systems," by Zhifeng Sheng, Patrick Dewilde and Shivkumar Chandrasekaran, in Operator Theory: Advances and Applications, Vol. 176, 255-294, 2007.
- "Model Reduction in Symbolically Semi-separable Systems with Application to Pre-conditioners for 3D Sparse Systems of Equations," by Patrick Dewilde, Haiyan Jiao and Shivkumar Chandrasekaran, in Operator Theory: Advances and Applications, Vol. 197, 99-132, 2009.