SCIENTIFIC COMPUTING GROUP

Department of Electrical and Computer Engineering
University of California, Santa Barbara

Papers

HSS

(2016) – A Fast Memory Efficient Construction Algorithm for Hierarchically Semi-separable Representations – K. Lessel, M. Hartman, and S. Chandrasekaran
(2010) – On the Numerical Rank of the Off-diagonal Blocks of Schur Complements of Discretized Elliptic PDEs – S. Chandrasekaran, P. Dewilde, M. Gu and N. Somasunderam
(2009) – Superfast Multifrontal Method for Large Structured Linear Systems of Equations – J. Xia, S. Chandrasekaran, M. Gu and X. S. Li
(2009) – Model Reduction in Symbolically Semi-separable Systems with Application to Pre-conditioners for 3D Sparse Systems of Equations – P. Dewilde, H. Jiao and S. Chandrasekaran
(2007) – A Fast QR Algorithm for Companion Matrices – S. Chandrasekaran, M. Gu, J. Xia and J. Zhu
(2007) – Algorithms to Solve Hierarchically Semi-separable Systems – Z. Sheng, P. Dewilde and S. Chandrasekaran
(2006) – A Fast Solver for HSS Representations Via Sparse Matrices – S. Chandrasekearan P. Dewilde, M. Gu, W. Lyons and T. Pals
(2006) – A Hierarchical Semi-separable Moore-Penrose Equation Solver – P. Dewilde and S. Chandrasekaran
(2006) – A Fast ULV Decomposition Solver for Hierarchically Semiseparable Representations – S. Chandrasekaran, M. Gu and T. Pals
(2005) – 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
(2003) – Fast and Stable Algorithms for Banded plus Semiseparable Systems of Linear Equations – S. Chandrasekaran and M. Gu

Toeplitz Solvers

(2003) – A Superfast Algorithm for Toeplitz Systems of Linear Equations – S. Chandrasekaran, M. Gu, X. Sun, J. Xia and J. Zhu
(1998) – A Fast Stable Solver for Nonsymmetric Toeplitz and Quasi-Toeplitz Systems of Linear Equations – S. Chandrasekaran and A. H. Sayed
(1996) – Stabilizing the Generalized Schur Algorithm – S. Chandrasekaran and A.H. Sayed

Numerical Linear Algebra

(2011) – On the Infinitesimal Limits of the Schur Complements of Tridiagonal Matrices – N. Somasunderam and S. Chandrasekaran
(2001) – The Degenerate Bounded Errors-in-Variables Model – S. Chandrasekaran, M. Gu, A. H. Sayed and K. E. Schubert
(2000) – An Efficient and Stable Algorithm for the Symmetric-Definite Generalized Eigenvalue Problem – S. Chandrasekaran
(1999) An Efficient Algorithm for a Bounded Errors-in-Variables Model – S. Chandrasekaran, G. H. Golub, M. Gu and A. H. Sayed
(1998) – Parameter Estimation in the Presence of Bounded Data Uncertainties – S. Chandrasekaran, G. H. Golub, M. Gu and A. H. Sayed
(1998) – A Stable and Efficient Algorithm for the Indefinite Linear Least-Squares Problem – S. Chandrasekaran, M. Gu and A. H. Sayed
(1995) – Analysis of a QR Algorithm for Computing Singular Values – S. Chandrasekaran and I.C.F. Ipsen
(1995) – On the Sensitivity of Solution Components in Linear Systems of Equations – S. Chandrasekaran and I.C.F. Ipsen
(1994) – On Rank-Revealing Factorizations – S. Chandrasekaran and I.C.F. Ipsen

MSN

(2018) – Minimum Sobolev norm interpolation of scattered derivative data – S. Chandrasekaran, C.H. Gorman, H.N. Mhaskar
(2015) – A minimum Sobolev Norm Technique for the Numerical Discretization of PDEs – S. Chandrasekaran and H.N. Mhaskar
(2013) – Minimum Sobolev Norm Interpolation with Trigonometric Polynomials on the Torus – S. Chandrasekaran, K. R. Jayaraman and H.N. Mhaskar
(2013) – A Construction of Linear Bounded Interpolatory Operators on the Torus – S. Chandrasekaran and H.N. Mhaskar
(2011) – MSNFD : A Higher Order Finite Difference Method for Solving Elliptic PDEs on Scattered Points (An Extended Version of Our Paper Submitted to ICCS 2011) – S. Chandrasekaran, K. R. Jayaraman, M. Gu, H.N. Mhaskar and J. Moffitt
(2010) – Minimum Sobolev Norm Schemes and Applications in Image Processing – S. Chandrasekaran, K. R. Jayaraman, J. Moffitt, H.N. Mhaskar and S.Pauli

Machine Learning

(2017) – Fast indefinite multi-point (IMP) clustering – S. Chandrasekaran and A. Rajagopal

Theses

(2020) – Advancements in Algorithms for Approximations of Rank Structured Matrices – K. Lessel
(2019) – High-Dimensional Polynomial Approximation with Applications in Imaging and Recognition – A. Rajagopal
(2019) – Applications of the Minimum Sobolev Norm and Associated Fast Algorithms – C.H. Gorman
(2018) – Periodic approximations and spectral analysis of the Koopman operator: theory and applications – N. Govindarajan
(2011) – Higher Order Numerical Discretization on Scattered Grids – K. Raghuram
(2011) – A Minimum Sobolev Norm Discretization Scheme for Elliptic Partial Differential Equations – J. Moffitt
(2008) – Discrete Inverse Scattering – K. Doshi
(2005) – Fast Algorithms with Applications to PDEs – W. Lyons
(2004) – Multipole for Scattering Computations: Spectral Discretization, Stabilization, Fast Solvers – T. Pals
(2003) – A New Look at Robust Estimation and Identification – K. Schubert

Talks

(2018) – Exact fine structure of the inverse of discrete elliptic operators – S. Chandrasekaran, N. Govindarajan
(2015) – A Fast Memory Efficient Construction Algorithm for HSS Representations – K. Lessel, S. Chandrasekaran, and M. Hartman
(2013) – A Miniumum Sobolev Norm Numerical Technique for PDEs – S. Chandrasekaran and H.N. Mhaskar
(2012) – A New Technique for the Numerical Solution of PDE's – S. Chandrasekaran
(2008) – Resurrecting Equi-Spaced Polynomial Interpolation: A Distribution Agnostic Approach – S. Chandrasekaran, M. Gu, H.N. Mhaskar, K. Raghuram and N. Somasundaram
(2005) – HSS Algorithms & Applications – S. Chandrasekaran, B. Lyons, T. Pals, and M. Gu
Super-fast Solvers for FMM Matrices – S. Chandrasekaran, P. Dewilde, K. Doshi, M. Gu, N. Somasundram

TextBook

(2016) – Core Matrix Analysis – S. Chandrasekaran